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In this paper, we study the one-loop induced photon's effective action in the very special relativity electrodynamics in $(2+1)$ spacetime (VSR-QED$_{3}$). Due to the presence of new nonlocal couplings resulting from the VSR gauge symmetry,…

高能物理 - 理论 · 物理学 2020-12-17 R. Bufalo , M. Ghasemkhani , Z. Haghgouyan , A. Soto

Very special relativity (VSR) keeps the main features of special relativity but breaks rotational invariance due to an intrinsic preferred direction. We study the VSR modified extended BRST and anti-BRST symmetry of the Batalin-Vilkovisky…

高能物理 - 理论 · 物理学 2017-03-20 Sudhaker Upadhyay , Mushtaq B. Shah , Prince A. Ganai

We study non-Abelian fields in the context of very special relativity (VSR). For this we define the covariant derivative and the gauge field gauge transformations, both of them involving a fixed null vector $n_{\mu}$, related to the VSR…

高能物理 - 理论 · 物理学 2013-11-14 Jorge Alfaro , Victor O. Rivelles

In this paper we analyze the tensor field (reducible gauge) theories in the context of very special relativity (VSR). Particularly, we study the VSR gauge symmetry as well as VSR BRST symmetry of Kalb-Ramond and Abelian 3-form fields…

高能物理 - 理论 · 物理学 2015-12-22 Sudhaker Upadhyay

This work investigates the implications of very special relativity (VSR) on the calculation of vacuum polarization for fermions in the presence of Maxwell and Kalb-Ramond gauge fields in four-dimensional spacetime. We derive the…

高能物理 - 理论 · 物理学 2023-11-16 Roberto V. Maluf , Gonzalo J. Olmo

The dynamics of abelian vector and antisymmetric tensor gauge fields can be described in terms of twisted self-duality equations. These first-order equations relate the p-form fields to their dual forms by demanding that their respective…

高能物理 - 理论 · 物理学 2015-05-28 Henning Samtleben

We identify an unusual new gauge-gravity relation: the one-loop effective action for a massive spinor in 2n dimensional AdS space is expressed in terms of precisely the same function [a certain multiple gamma function] as the one-loop…

高能物理 - 理论 · 物理学 2010-04-23 Gokce Basar , Gerald V. Dunne

In this paper, we investigate the phenomenology of fermionic systems in uniform gravitational fields within the framework of Very Special Relativity (VSR). We focus on the case of gravitational spectroscopy with ultracold neutrons, explored…

高能物理 - 唯象学 · 物理学 2025-05-12 Alessandro Santoni , Enrique Muñoz , Hartmut Abele , Benjamin Koch

We present the one-loop scalar field effective potential for the $N=2$ supersymmetric nonrelativistic self-interacting matter fields coupled to an Abelian Chern-Simons gauge field and for its generalization when bosonic matter fields are…

高能物理 - 理论 · 物理学 2007-05-23 D. Caenepeel , M. Leblanc

In this work we discuss the properties of a modified Born-Infeld electrodynamics in the framework of very special relativity (VSR). This proposal allows us to study VSR mass effects in a gauge-invariant context of nonlinear electrodynamics.…

高能物理 - 理论 · 物理学 2015-05-18 R. Bufalo

A non-abelian ``self-dual'' massive gauge theory describing a massive spin one physical mode is presented. The action is expressed in terms of two independent connections on a principle bundle over $2+1$ space-time. The kinetic terms are…

高能物理 - 理论 · 物理学 2014-11-18 P. J. Ariasa , L. Leal , A. Restuccia

We consider the one-loop effective action due to a spinor loop coupled to an abelian vector and axial vector field background. After rewriting this effective action in terms of an auxiliary non-abelian gauge connection, we use the De Witt…

高能物理 - 理论 · 物理学 2009-10-31 D. G. C. McKeon , C. Schubert

Gauge fields, real or synthetic, are crucial for understanding and manipulation of physical systems. The associated geometric phases can be measured, for example, from the Aharonov--Bohm interference. So far, real-space realizations of…

In this work, we mainly study the one-loop effective action for real scalar theories in non-homogeneous backgrounds in odd dimensions. It is shown that through the method studied in Ref. [1], it is possible to obtain a unified result for…

高能物理 - 理论 · 物理学 2011-04-06 Burak Tevfik Kaynak

Linearized gravity in the Very Special Relativity (VSR) framework is considered. We prove that this theory allows for a non-zero graviton mass $m_g$ without breaking gauge invariance nor modifying the relativistic dispersion relation. We…

广义相对论与量子宇宙学 · 物理学 2023-09-07 Jorge Alfaro , Alessandro Santoni

We gauge the abelian hierarchy of tensor fields in 4D by a Lie algebra. The resulting non-abelian tensor hierarchy can be interpreted via an equivariant chain complex. We lift this structure to N=1 superspace by constructing superfield…

高能物理 - 理论 · 物理学 2016-06-27 Katrin Becker , Melanie Becker , William D. Linch , Daniel Robbins

A non-abelian generalisation of a theory of gravity coupled to a 2-form gauge field and a dilaton is found, in which the metric and 3-form field strength are Lie algebra-valued. In the abelian limit, the curvature with torsion is self-dual…

高能物理 - 理论 · 物理学 2009-10-30 C. M. Hull

In this work, we study the perturbative generation of the gauge invariant effective action for the non-Abelian gauge field in a $(2+1)$-dimensional spacetime. We present a detailed analysis of the two, three and four-point functions in…

高能物理 - 理论 · 物理学 2024-05-31 M. Ghasemkhani , G. Soleimani , R. Bufalo

Mandelstam-Leibbrandt(ML) regularization of Very Special Relativity (VSR) amplitudes in momentum space depends on two fixed null vectors $n_\mu,\bar{n}_\mu$ besides external momenta. ML is known to preserve gauge invariance and naive power…

高能物理 - 唯象学 · 物理学 2023-06-21 Jorge Alfaro

We derive a new non-abelian Stokes theorem by rewriting the Wilson loop as a gauge-invariant area integral, at the price of integrating over an auxiliary field from the coset SU(N) / [U(1)]^{N-1} space. We then introduce the relativistic…

高能物理 - 理论 · 物理学 2007-05-23 Dmitri Diakonov , Victor Petrov
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