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In this paper, we give a simple diagrammatic identification of the unique combination of the causal n-point vertex functions in the real time formalism that would coincide with the corresponding functions obtained in the imaginary time…

High Energy Physics - Theory · Physics 2016-08-25 F. T. Brandt , Ashok Das , J. Frenkel , A. J. da Silva

An exact calculation of the retarded electric field in the source region of a system of individual charges, expanded to third order in velocity, shows that all nonrelativistic accelerated charges in a system emit dipole electromagnetic…

Plasma Physics · Physics 2007-05-23 F. S. Felber

Although the thermal and radiative effects associated with a two-level quantum system undergoing acceleration are now widely understood and accepted, a surprising amount of controversy still surrounds the simpler and older problem of an…

High Energy Physics - Theory · Physics 2020-11-25 Gabriel Cozzella , Stephen A. Fulling , André G. S. Landulfo , George E. A. Matsas

We propose an ansatz for encoding the physics of nonlocal spacetime defects in the Green's functions for a scalar field theory defined on a causal set. This allows us to numerically study the effects of nonlocal spacetime defects on the…

General Relativity and Quantum Cosmology · Physics 2023-10-09 Christopher D. Carone , Noah L. Donald

The general relationship between a Retarded-Advanced Green function of the Real Time formalism and analytical continuations of the Imaginary Time Amplitude is obtained via perturbation theory. A 4-point R-A function is, at most, a linear…

High Energy Physics - Phenomenology · Physics 2009-10-22 F. Guerin

The measurement of an electromagnetic radiation field by a linearly accelerated observer is discussed. The nonlocality of this process is emphasized. The nonlocal theory of accelerated observers is briefly described and the consequences of…

High Energy Physics - Theory · Physics 2009-11-10 Bahram Mashhoon

The electric field of a uniformly accelerated charge shows a plane of discontinuity, where the field extending only on one side of the plane, terminates abruptly on the plane with a finite value. This indicates a non-zero divergence of the…

Classical Physics · Physics 2020-10-09 Ashok K. Singal

We investigate the nonlocal gravity theory by deriving nonlocal equations of motion using the traditional variation principle in a homogeneous background. We focus on a class of models with a linear nonlocal modification term in the action.…

High Energy Physics - Theory · Physics 2016-03-15 Ying-li Zhang , Kazuya Koyama , Misao Sasaki , Gong-Bo Zhao

Doubly special relativity (DSR) is usually regarded as a low-energy limit of a quantum gravity theory with testable predictions. On the other hand, non-local quantum field theories have been presented as a solution to the inconsistencies…

High Energy Physics - Theory · Physics 2025-02-24 J. J. Relancio , L. Santamaría-Sanz

In this paper we will study Lorentz-invariant, infinite derivative quantum field theories, where infinite derivatives give rise to non-local interactions at the energy scale $M_s$, beyond the Standard Model. We will study a specific class,…

High Energy Physics - Theory · Physics 2019-05-29 Luca Buoninfante , Gaetano Lambiase , Anupam Mazumdar

The standard relativistic theory of accelerated reference frames in Minkowski spacetime is described. The measurements of accelerated observers are considered and the limitations of the standard theory, based on the hypothesis of locality,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bahram Mashhoon

In the framework of perturbative algebraic quantum field theory a local construction of interacting fields in terms of retarded products is performed, based on earlier work of Steinmann. In our formalism the entries of the retarded products…

High Energy Physics - Theory · Physics 2009-11-10 Michael Duetsch , Klaus Fredenhagen

We prove averaging theorems for ordinary differential equations and retarded functional differential equations. Our assumptions are weaker than those required in the results of the existing literature. Usually, we require that the…

Dynamical Systems · Mathematics 2007-05-23 Mustapha Lakrib , Tewfik Sari

The approach to asymptotic electromagnetic fields introduced by Goldberg and Kerr is used to study various aspects of Lorentz Covariant Gravity. Retarded multipole moments of the source, the central objects of this study, are defined, and a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Brien C. Nolan

Biadjoint scalar field theories are increasingly important in the study of scattering amplitudes in various string and field theories. Recently, some first exact nonperturbative solutions of biadjoint scalar theory were presented, with a…

High Energy Physics - Theory · Physics 2017-12-06 Pieter-Jan De Smet , Chris D. White

We calculate the gradient of the radiation field generated by a polarization current with a superluminally rotating distribution pattern and show that the absolute value of this gradient increases as R^(7/2) with distance R within the…

Astrophysics · Physics 2009-11-13 Houshang Ardavan , Arzhang Ardavan , John Singleton , Joseph Fasel , Andrea Schmidt

We show that the "defective" terms in the expression that Dondera [Phys. Rev. D 98, 096008 (2018)] obtained for the momentum of the retarded field of an accelerating point charge are mathematically well justified. The repair should not be…

Classical Physics · Physics 2020-06-24 V. Hnizdo , G. Vaman

Accurate calculation of the motion of a compact object in a background spacetime induced by a supermassive black hole is required for the future detection of such binary systems by the gravitational-wave detector LISA. Reaching the desired…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eran Rosenthal

We derive positivity bounds on EFT coefficients in theories where boosts are spontaneously broken. We employ the analytic properties of the retarded Green's function of conserved currents (or of the stress-energy tensor) and assume the…

High Energy Physics - Theory · Physics 2022-10-19 Paolo Creminelli , Oliver Janssen , Leonardo Senatore

We investigate a new property of retarded Green's functions using AdS/CFT. The Green's functions are not unique at special points in complex momentum space. This arises because there is no unique incoming mode at the horizon and is similar…

High Energy Physics - Theory · Physics 2020-02-06 Makoto Natsuume , Takashi Okamura