# High Energy Physics - Theory

## New submissions

[ total of 34 entries: 1-34 ]
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### New submissions for Mon, 19 Feb 18

[1]
Title: The Type IIA Flux Potential, 4-forms and Freed-Witten anomalies
Subjects: High Energy Physics - Theory (hep-th)

We compute the full classical 4d scalar potential of type IIA Calabi-Yau orientifolds in the presence of fluxes and D6-branes. We show that it can be written as a bilinear form $V = Z^{AB} \rho_A\rho_B$, where the $\rho_A$ are in one-to-one correspondence with the 4-form fluxes of the 4d effective theory. The $\rho_A$ only depend on the internal fluxes, the axions and the topological data of the compactification, and are fully determined by the Freed-Witten anomalies of branes that appear as 4d string defects. The quadratic form $Z^{AB}$ only depends on the saxionic partners of these axions. In general, the $\rho_A$ can be seen as the basic invariants under the discrete shift symmetries of the 4d effective theory, and therefore the building blocks of any flux-dependent quantity. All these polynomials may be obtained by derivation from one of them, associated to a universal 4-form. The standard N=1 supergravity flux superpotential is uniquely determined from this {\it master polynomial}, and vice versa.

[2]
Title: Mode Analysis for Energetics of a Moving Charge In Lorentz- and CPT-Violating Electrodynamics
Subjects: High Energy Physics - Theory (hep-th)

In isotropic but Lorentz- and CPT-violating electrodynamics, it is known that a charge in unifom motion does not lose any energy to Cerenkov radiation. This presents a puzzle, since the radiation appears to be kinematically allowed for many modes. Studying the Fourier transforms of the most important terms in the modified magnetic field and Poynting vector, we confirm the vanishing of the the radiation rate. Moreover, we show that the Fourier transform of the field changes sign between small and large wave numbers. This enables modes with very long wavelengths to carry negative energies, which cancel out the positive energies carried away by modes with shorter wavelengths. This cancelation had previously been inferred but never explicitly demonstrated.

[3]
Title: LeClair-Mussardo series for two-point functions in Integrable QFT
Subjects: High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); Exactly Solvable and Integrable Systems (nlin.SI)

We develop a well-defined spectral representation for two-point functions in relativistic Integrable QFT in finite density situations, valid for space-like separations. The resulting integral series is based on the infinite volume, zero density form factors of the theory, and certain statistical functions related to the distribution of Bethe roots in the finite density background. Our final formulas are checked by comparing them to previous partial results obtained in a low-temperature expansion. It is also show that in the limit of large separations the new integral series factorizes into the product of two LeClair-Mussardo series for one-point functions, thereby satisfying the clustering requirement for the two-point function.

[4]
Title: Physical content of Quadratic Gravity
Subjects: High Energy Physics - Theory (hep-th)

We have recently undergone an analysis of gravitational theories as defined in first order formalism, where the metric and the connection are treated as independent fields. The physical meaning of the connection field has historically been somewhat elusive. In this paper, a complete spin analysis of the torsionless connection field is performed, and its consequences are explored. The main properties of a hypothetical consistent truncation of the theory are discussed as well.

[5]
Title: Mode truncations and scattering in strong fields
Comments: 38 pages, 1 pdf figure
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph)

Truncating quantum field theories to a dominant mode offers a non-perturbative approach to their solution, in particular when the single-mode theory can be solved exactly. Here we consider the interaction of charged scalar matter with a single mode of the electromagnetic field. The implied breaking of explicit Lorentz invariance prompts us to compare instant-form quantisation and front-form, with the latter yielding significant simplifications when light-front zero modes are included. As an application of our field theory results we assess the validity of existing first-quantised approaches to depletion effects in strong fields, and point out connections to the dressing approach to QED and its infra-red structure.

[6]
Title: Path integral for supersymmetric quantum mechanics and type-A trace anomalies
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)

Particles in a curved space are classically described by a nonlinear sigma model action that can be quantized through path integrals. The latter require a precise regularization to deal with the derivative interactions arising from the nonlinear kinetic term. Recently, for maximally symmetric spaces, simplified path integrals have been developed: they allow to trade the nonlinear kinetic term with a purely quadratic kinetic term (linear sigma model). This happens at the expense of introducing a suitable effective scalar potential, which contains the information on the curvature of the space. The simplified path integral provides a sensible gain in the efficiency of perturbative calculations. Here we extend the construction to models with N = 1 supersymmetry on the worldline, which are applicable to the first quantized description of a Dirac fermion. In particular, we use the simplified worldline path integral to compute the type-A trace anomaly of a Dirac fermion in d dimensions up to d = 16.

[7]
Title: Hidden Conformal Symmetry in Tree-Level Graviton Scattering
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)

We argue that the scattering of gravitons in ordinary Einstein gravity possesses a hidden conformal symmetry at tree level in any number of dimensions. The presence of this conformal symmetry is indicated by the dilaton soft theorem in string theory, and it is reminiscent of the conformal invariance of gluon tree-level amplitudes in four dimensions. To motivate the underlying prescription, we demonstrate that formulating the conformal symmetry of gluon amplitudes in terms of momenta and polarization vectors requires manifest reversal and cyclic symmetry. Similarly, our formulation of the conformal symmetry of graviton amplitudes relies on a manifestly permutation symmetric form of the amplitude function.

[8]
Title: Quantum Anisotropic Sigma and Lambda Models as Spin Chains
Subjects: High Energy Physics - Theory (hep-th)

We consider lambda and anisotropic deformations of the SU(2) principal chiral model and show how they can be quantized in the Hamiltonian formalism on a lattice as a suitable spin chain. The spin chain is related to the higher spin XXZ Heisenberg chain and can be solved by using the Bethe Ansatz. This yields the spectrum and S-matrix of the excitations. In particular, we find the S-matrix in the gapped anti-ferromagnetic regime. In this regime, a continuum limit does not exist and this suggests that the field theories in this regime, precisely ones with a cyclic RG like the Yang-Baxter deformations, may only exist as effective theories. In a certain limit, we show that the XXZ type lambda model gives the symmetric space SU(2)/U(1) lambda model and, hence, we are able to find its spectrum and S-matrix and show that it gives the S-matrix of the O(3) sigma model in the appropriate limit. Finally, we show the full consistency of the S-matrix and the Lagrangian formulations of the lambda model, by coupling to a conserved charge and computing the way the ground state energy changes in both pictures.

[9]
Title: Resummation and renormalons in a general Quantum Field Theory
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph)

We generalize the concept of Borel resummability and renormalons to a quantum field theory with an arbitrary number of fields and couplings, starting from the known notion based on the running coupling constant in the one-field model. An approach to identify the renormalons is provided by exploiting an analytic solution of the generic one-loop renormalization group equations in multi-field theories. Methods to evaluate the regions in coupling space where the theory is resummable are described. The generalization is then illustrated in a toy model with two coupled scalar fields, representing the simplest extension of the one-field analysis presented in the seminal works of the subject. Furthermore, possible links to realistic models are briefly discussed.

[10]
Title: Fast Summation of Divergent Series and Resurgent Transseries in Quantum Field Theories from Meijer-G Approximants
Comments: 18 pages, 9 figures, PDFTeX
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Physics (quant-ph)

We demonstrate that a Meijer-G-function-based resummation approach can be successfully applied to approximate the Borel sum of divergent series, and thus to approximate the Borel-\'Ecalle summation of resurgent transseries in quantum field theory (QFT). The proposed method is shown to vastly outperform the conventional Borel-Pad\'e and Borel-Pad\'e-\'Ecalle summation methods. The resulting Meijer-G approximants are easily parameterized by means of a hypergeometric ansatz and can be thought of as a generalization to arbitrary order of the Borel-Hypergeometric method [Mera {\it et al.} Phys. Rev. Lett. {\bf 115}, 143001 (2015)]. Here we illustrate the ability of this technique in various examples from QFT, traditionally employed as benchmark models for resummation, such as: 0-dimensional $\phi^4$ theory, $\phi^4$ with degenerate minima, self-interacting QFT in 0-dimensions, and the computation of one- and two-instanton contributions in the quantum-mechanical double-well problem.

### Cross-lists for Mon, 19 Feb 18

[11]  arXiv:1802.05713 (cross-list from hep-ph) [pdf, other]
Title: A Simple No-Scale Model of Modulus Fixing and Inflation
Subjects: High Energy Physics - Phenomenology (hep-ph); Cosmology and Nongalactic Astrophysics (astro-ph.CO); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)

We construct a no-scale model of inflation with a single modulus whose real and imaginary parts are both fixed by string-motivated corrections to the no-scale K{\" a}hler potential. Assuming an uplift of the minimum of the effective potential, the model yields a suitable number of e-folds of expansion and values of the tilt in the scalar cosmological density perturbations and of the ratio of tensor and scalar perturbations that are compatible with measurements of the cosmic microwave background radiation.

[12]  arXiv:1802.05718 (cross-list from gr-qc) [pdf, other]
Title: An Analytical Portrait of Binary Mergers in Hierarchical Triple Systems
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Astrophysical Phenomena (astro-ph.HE); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)

With better statistics and precision, eccentricity could prove to be a useful tool for understanding the origin and environment of binary black holes. Hierarchical triples in particular, which are abundant in globular clusters and galactic nuclei, could generate observably large eccentricity at LIGO and future gravitational wave detectors. Measuring the eccentricity distribution accurately could help us probe the background and the formation of the mergers. In this paper we continue our previous investigation and improve our semi-analytical description of eccentricity distribution of mergers in galactic nuclei and other hierarchical triple systems. Our result, which further reduces the reliance on numerical simulations, could be useful for statistically distinguishing different formation channels of observed binary mergers.

[13]  arXiv:1802.05765 (cross-list from physics.comp-ph) [pdf, ps, other]
Title: On the algorithm to find S-related Lie algebras
Comments: 6 pages, Talk at ACAT 2017, Seattle, USA, to appear in Proceedings of ACAT 2017
Subjects: Computational Physics (physics.comp-ph); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Numerical Analysis (math.NA)

In this article we describe the Java library that we have recently constructed to automatize the S-expansion method, a powerful mathematical technique allowing to relate different Lie algebras. An important input in this procedure is the use of abelian semigroups and thus, we start with a brief review about the classification of non-isomorphic semigroups made in the literature during the last decades, and explain how the lists of non-isomorphic semigroups up to order 6 can be used as inputs in many of the methods of our library. After describing the main features of the classes that compose our library we present a new method called fillTemplate which tuns out to be very useful to answer whether two given algebras can be S-related.

[14]  arXiv:1802.05767 (cross-list from math.RT) [pdf, ps, other]
Title: Generators and relations for Lie superalgebras of Cartan type
Subjects: Representation Theory (math.RT); High Energy Physics - Theory (hep-th)

We give an analog of a Chevalley-Serre presentation for the Lie superalgebras W(n) and S(n) of Cartan type. These are part of a wider class of Lie superalgebras, the so-called tensor hierarchy algebras, denoted W(g) and S(g), where g denotes the Kac-Moody algebra A_r, D_r or E_r. Then W(A_{n-1}) and S(A_{n-1}) are the Lie superalgebras W(n) and S(n). The algebras W(g) and S(g) are constructed from the Dynkin diagram of the Borcherds-Kac-Moody superalgebras B(g) obtained by adding a single grey node (representing an odd null root) to the Dynkin diagram of g. We redefine the algebras W(A_r) and S(A_r) in terms of Chevalley generators and defining relations. We prove that all relations follow from the defining ones at level -2 and higher. The analogous definitions of the algebras in the D- and E-series are given. In the latter case the full set of defining relations is conjectured.

[15]  arXiv:1802.05808 (cross-list from math-ph) [pdf, ps, other]
Title: Nearly associative deformation quantization
Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

We study several classes of non-associative algebras as possible candidates for deformation quantization in the direction of a Poisson bracket that does not satisfy Jacobi identities. We show that in fact alternative deformation quantization algebras require the Jacobi identities on the Poisson bracket and, under very general assumptions, are associative. At the same time, flexible deformation quantization algebras exist for any Poisson bracket.

[16]  arXiv:1802.05881 (cross-list from math.QA) [pdf, ps, other]
Title: Quantum super Nambu bracket of cubic supermatrices and 3-Lie superalgebra
Authors: Viktor Abramov
Comments: 16 pages; accepted for publication in Advances in Applied Clifford Algebras
Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th)

We construct the graded triple Lie commutator of cubic supermatrices, which we call the quantum super Nambu bracket of cubic supermatrices, and prove that it satisfies the graded Filippov-Jacobi identity of 3-Lie superalgebra. For this purpose we use the basic notions of the calculus of 3-dimensional matrices, define the Z_2-graded (or super) structure of a cubic matrix relative to one of the directions of a cubic matrix and the super trace of a cubic supermatrix. Making use of the super trace of a cubic supermatrix we introduce the triple product of cubic supermatrices and find the identities for this triple product, where one of them can be regarded as the analog of ternary associativity. We also show that given a Lie algebra one can construct the $n$-ary Lie bracket by means of an (n-2)-cochain of given Lie algebra and find the conditions under which this n-ary bracket satisfies the Filippov-Jacobi identity, thereby inducing the structure of n-Lie algebra. We extend this approach to n-Lie superalgebras.

[17]  arXiv:1802.05947 (cross-list from gr-qc) [pdf, ps, other]
Title: Infrared limit of quantum gravity
Authors: C. Wetterich
Comments: 9 pages , 3 figures
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)

We explore the infrared limit of quantum gravity. For a positive cosmological constant or effective scalar potential, one-loop perturbation theory around flat space is divergent due to an instability of the graviton propagator. Functional renormalization solves this problem by a flow of couplings avoiding instabilities. This leads to a graviton barrier limiting the maximal growth of the effective potential for large values of scalar fields. In the presence of this barrier, variable gravity can solve the cosmological constant problem by a cosmological runaway solution. We discuss the naturalness of tiny values of the cosmological constant and cosmon mass due to a strong attraction towards an infrared fixed point.

[18]  arXiv:1802.06046 (cross-list from astro-ph.CO) [pdf, other]
Title: Anisotropies in the stochastic gravitational wave background: formalism and the cosmic string case
Subjects: Cosmology and Nongalactic Astrophysics (astro-ph.CO); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)

We develop a powerful analytical formalism for calculating the energy density of the stochastic gravitational wave background, including a full description of its anisotropies. This is completely general, and can be applied to any astrophysical or cosmological source. As an example, we apply these tools to the case of a network of Nambu-Goto cosmic strings. We find that the anisotropies are relatively insensitive to the choice of model for the string network, but that they are very sensitive to the value of the string tension $G\mu$.

### Replacements for Mon, 19 Feb 18

[19]  arXiv:1611.07974 (replaced) [pdf, ps, other]
Title: A Unified Hidden-Sector-Electroweak Model, Paraphotons and the X-Boson
Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)
[20]  arXiv:1612.00145 (replaced) [pdf, ps, other]
Title: Comments on Exchange Graphs in Cluster Algebras
Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Rings and Algebras (math.RA)
[21]  arXiv:1703.02500 (replaced) [pdf, ps, other]
Title: Casimir interaction of strained graphene
Comments: 5 pages, 3 figures, EPL style, misprint corrected
Journal-ref: Phys.Lett. A381 (2017) 2439-2443
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)
[22]  arXiv:1703.05275 (replaced) [pdf, ps, other]
Title: Secluded and Putative Flipped Dark Matter and Stueckelberg Extensions of the Standard Model
Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Astrophysical Phenomena (astro-ph.HE); High Energy Physics - Theory (hep-th)
[23]  arXiv:1704.03040 (replaced) [pdf, ps, other]
Title: Einstein static universe, GUP, and natural IR and UV cut-offs
Comments: 10 pages, Minor revision, Title change; To be published in "Int. J. Geom. Methods Mod. Phys"
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
[24]  arXiv:1704.03159 (replaced) [pdf, other]
Title: Elliptic hypergeometric sum/integral transformations and supersymmetric lens index
Comments: 29 pages, 4 figures; v2: published version
Journal-ref: SIGMA 14 (2018), 013, 29 pages
Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Classical Analysis and ODEs (math.CA); Quantum Algebra (math.QA)
[25]  arXiv:1708.03330 (replaced) [pdf, ps, other]
Title: Twisted Sisters: KK Monopoles and their Zero Modes
Journal-ref: Phys. Rev. Lett. 120, 071603 (2018)
Subjects: High Energy Physics - Theory (hep-th)
[26]  arXiv:1709.09695 (replaced) [pdf, ps, other]
Title: Higher-derivative operators and effective field theory for general scalar-tensor theories
Comments: 37+3 pages. v2: version published in JCAP
Journal-ref: JCAP 02 (2018) 031
Subjects: High Energy Physics - Theory (hep-th); Cosmology and Nongalactic Astrophysics (astro-ph.CO); General Relativity and Quantum Cosmology (gr-qc)
[27]  arXiv:1710.04729 (replaced) [pdf, other]
Title: Analysis of Dark Matter Axion Clumps with Spherical Symmetry
Comments: 32 pages, 8 figures. V2: Fixed figure 8 and equation 71. Added clarifications regarding spherical symmetry. Added references
Journal-ref: JCAP 01 (2018) 037
Subjects: High Energy Physics - Phenomenology (hep-ph); Cosmology and Nongalactic Astrophysics (astro-ph.CO); Astrophysics of Galaxies (astro-ph.GA); High Energy Physics - Theory (hep-th)
[28]  arXiv:1710.07685 (replaced) [pdf, other]
Title: Soft collinear effective theory for gravity
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph)
[29]  arXiv:1711.04568 (replaced) [pdf, other]
Title: Exact large-scale correlations in integrable systems out of equilibrium
Authors: Benjamin Doyon
Comments: 53 pages, 1 figure. v2: 58 pages, explicit results of two-point functions in sinh-Gordon and Lieb-Liniger model added
Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th)
[30]  arXiv:1711.10053 (replaced) [pdf, ps, other]
Title: Quantum deformation of planar amplitudes
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Algebra (math.QA)
[31]  arXiv:1712.09249 (replaced) [pdf, other]
Title: Thermodynamics of Einstein-DBI System
Comments: 1+30 pages and 12 figures
Subjects: High Energy Physics - Theory (hep-th)
[32]  arXiv:1801.10178 (replaced) [pdf, other]
Title: Probing Cosmic Origins with CO and [CII] Emission Lines
Comments: We have corrected an error in PIXIE noise curve used in the previous version of the draft. This correction affected the constraints on local PNG from PIXIE. Version 2 of the draft is edited to reflect this change. In this version we also updated the reported Planck constraint to that from the combined temperature and polarization data
Subjects: Cosmology and Nongalactic Astrophysics (astro-ph.CO); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)
[33]  arXiv:1802.04390 (replaced) [pdf, ps, other]
Title: Veneziano Amplitude of Vasiliev Theory