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The classical results about the boundary values of holomorphic or harmonic functions on a domain $D$ state that under additional integrability assumptions these functions have limits along specific sets approaching boundary. The proofs of…

Complex Variables · Mathematics 2012-10-04 Evgeny A. Poletsky

Infinite sets of asymptotic soft-charges were recently shown to be related to new symmetries of the $S$-matrix, spurring a large amount of research on this and related questions. Notwithstanding, the raison-d'\^etre of these soft-charges…

High Energy Physics - Theory · Physics 2020-06-24 Aldo Riello

We investigate the behavior of superstring disk scattering amplitudes in the presence of a soft external momentum at finite string tension. We prove that there are no $\alpha'$-corrections to the field theory form of the subleading soft…

High Energy Physics - Theory · Physics 2014-08-27 Burkhard U. W. Schwab

In an earlier paper we have constructed a basis of massless single particle quantum states which transform in the unitary principal series representation of the four dimensional Lorentz group. The S-matrix written in this basis gives rise…

High Energy Physics - Theory · Physics 2019-10-02 Shamik Banerjee

Infrared divergences in QED and other theories with massless particles show that in such theories the $S$ matrix cannot be defined in the usual way. Typically, this is not viewed as a big problem since one is interested in cross sections,…

High Energy Physics - Theory · Physics 2017-03-14 Cesar Gomez , Mischa Panchenko

Some time ago, Seiberg and Witten solved for moduli spaces of vacua parameterized by scalar vacuum expectation values in $\mathcal{N}=2$ gauge theories. More recently, new vacua associated to soft theorems and asymptotic symmetries have…

High Energy Physics - Theory · Physics 2024-07-25 Erin Crawley , Andrew Strominger , Adam Tropper

We analyze the soft supersymmetry breaking parameters obtained in grand unified theories after integrating out the heavy GUT-states. The superfield formalism greatly simplifies the calculations and allows us to derive the low-energy…

High Energy Physics - Phenomenology · Physics 2009-10-28 Alex Pomarol , Savas Dimopoulos

The world-line representation of quantum field theory is a powerful framework for the computation of perturbative multi-leg Feynman amplitudes. In particular, in gauge theories, it provides an efficient way, via point particle Grassmann…

High Energy Physics - Phenomenology · Physics 2019-09-18 Andrey Tarasov , Raju Venugopalan

For general anisotropic linear elastic solids with smooth boundaries, Rayleigh-type surface waves are studied. Using spectral factorizations of matrix polynomials, a self-contained exposition of the case of a homogeneous half-space is given…

Mathematical Physics · Physics 2014-05-12 Sönke Hansen

The symmetries of asymptotically flat spacetimes impose constraints on observables at infinity. The consequences of this have been extensively explored for S-matrix elements, where soft theorems are known to be equivalent to Ward identities…

High Energy Physics - Theory · Physics 2025-12-03 Ian Moult , Sruthi A. Narayanan , Sabrina Pasterski

We apply the background field technique, recently developed for a general class of nonlinear symmetries, at tree level, to the Volkov-Akulov theory with spontaneously broken N=1 supersymmetry. We find that the background field expansion in…

High Energy Physics - Theory · Physics 2017-04-05 Renata Kallosh , Anna Karlsson , Divyanshu Murli

It has been shown that in larger than four space-time dimensions, soft factors that relate the amplitudes with a soft photon or graviton to amplitudes without the soft particle also determine the low frequency radiative part of the…

High Energy Physics - Theory · Physics 2018-11-14 Alok Laddha , Ashoke Sen

In this work we discuss the dynamical generation of mass in a deformed ${\cal N}=1$ supersymmetric nonlinear sigma model in a two-dimensional ($D=1+1$) space-time. We introduce the deformation by imposing a constraint that softly breaks…

High Energy Physics - Theory · Physics 2018-12-18 L. Ibiapina Bevilaqua , A. C. Lehum , A. J. da Silva

We review recent progress in determining the infrared singularity structure of on-shell scattering amplitudes in massless gauge theories. We present a simple ansatz where soft singularities of any scattering amplitude of massless partons,…

High Energy Physics - Phenomenology · Physics 2014-11-20 Einan Gardi , Lorenzo Magnea

A novel algorithm is provided to couple a Galilean invariant model with curved spatial background by taking nonrelativistic limit of a unique minimally coupled relativistic theory, which ensures Galilean symmetry in the flat limit and…

High Energy Physics - Theory · Physics 2017-07-12 Rabin Banerjee , Sunandan Gangopadhyay , Pradip Mukherjee

We consider a two-dimensional scalar field theory that modifies the standard $\phi^4$ model by introducing a smooth breaking of translational invariance through a hyperbolic generalizing function. This function explicitly breaks the…

High Energy Physics - Theory · Physics 2025-10-08 F. C. E. Lima , C. A. S. Almeida

It is demonstrated that it is possible to find a field theory containing massless scalar particles which has infrared structure closely resembling that of quantum electrodynamics and perturbative quantum gravity but exhibiting no gauge…

High Energy Physics - Theory · Physics 2022-12-07 Shovon Biswas , Gordon W. Semenoff

It was shown by F. Low in the 1950s that the subleading terms of soft photon S-matrix elements obey a universal linear relation. In this paper we give a new interpretation to this old relation, for the case of massless QED, as an…

High Energy Physics - Theory · Physics 2014-09-17 Vyacheslav Lysov , Sabrina Pasterski , Andrew Strominger

Classical soft photon and soft graviton theorems determine long wavelength electromagnetic and gravitational waveforms for a general classical scattering process in terms of the electric charges and asymptotic momenta of the ingoing and…

High Energy Physics - Theory · Physics 2020-12-30 Biswajit Sahoo

We study various non-relativistic field theories with exotic symmetries called subsystem symmetries, which have recently attracted much attention in the context of fractons. We start with a scalar theory called $\phi$-theory in $d+1$…

High Energy Physics - Theory · Physics 2023-04-12 Masazumi Honda , Taiichi Nakanishi
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