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In Very Special Relativity (VSR) a gauge invariant photon mass is allowed. We explore some consequences of keeping this parameter not zero. VSR-Maxwell equations are presented. In addition, we show modifications to the Feynman rules keeping…

High Energy Physics - Theory · Physics 2019-09-25 Jorge Alfaro , Alex Soto

Quantum electrodynamics (QED) of electrons confined in a plane and that yet can undergo interactions mediated by an unconstrained photon has been described by the so-called {\it pseudo-QED} (PQED), the (2+1)-dimensional version of the…

High Energy Physics - Theory · Physics 2019-10-03 Van Sérgio Alves , E. C. Marino , Leandro O. Nascimento , J. F. Medeiros Neto , Rodrigo F. Ozela , Rudnei O. Ramos

We compute two-loop low-energy effective actions in Abelian Chern-Simons matter models with N=2 and N=3 supersymmetry up to four-derivative order. Calculations are performed with a slowly-varying gauge superfield background. Though the…

High Energy Physics - Theory · Physics 2015-06-17 I. L. Buchbinder , B. S. Merzlikin , I. B. Samsonov

In this work we review various findings in the planar quantum physics with the special emphasis on the two-component quantum electrodynamics in three-dimensional spacetime (QED_{3}) with the Chern-Simons (CS) term. First the classical…

High Energy Physics - Phenomenology · Physics 2008-11-18 Sergej Moroz

In this work, we show that Lorentz invariant theories in $1+1$ dimensions admit new terms inspired by Very Special Relativity (VSR) theories. We have studied the Schwinger model in VSR. We show the axial current is classically conserved in…

High Energy Physics - Theory · Physics 2019-09-23 Jorge Alfaro , Alex Soto

We derive the off-shell photon propagator and fermion-photon vertex at one-loop level in Maxwell-Chern-Simons quantum electrodynamics in arbitrary covariant gauge, using four-component spinors with parity-even and parity-odd mass terms for…

High Energy Physics - Phenomenology · Physics 2013-02-05 Y. Concha-Sanchez , A. Raya , M. E. Tejeda-Yeomans

We investigate the one-loop effective action for a test scalar field in a general Friedmann-Lema\^itre-Robertson-Walker (FLRW) background, specifically focusing on quantum corrections up to the second order in the interaction strength. By…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Will Cerne , Teruaki Suyama

We present the fundamental model of a topological electromagnetic phase of matter: viscous Maxwell-Chern-Simons theory. Our model applies to a quantum Hall fluids with viscosity. We solve both continuum and lattice regularized systems to…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Todd Van Mechelen , Zubin Jacob

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…

High Energy Physics - Theory · Physics 2011-04-06 Burak Tevfik Kaynak

We consider a $U(1)$ Maxwell-Chern-Simons theory in $5$-dimensions, and analyze the vector perturbations around a classical charged black-brane background. We solve the equations of motion for these perturbations in a derivative expansion.…

High Energy Physics - Theory · Physics 2022-08-11 Jewel K. Ghosh , M. Arshad Momen

The action for a $(3+1)$-dimensional particle in very special relativity is studied. It is proved that massless particles only travel in effective $(2+1)$-dimensional space-time. It is remarkable that this action can be written as an action…

High Energy Physics - Theory · Physics 2013-01-25 Juan M. Romero , Eric Escobar , Etelberto Vazquez

We consider violation of Lorentz invariance in QED induced by a very high frequency background wave. An effective theory is obtained by averaging observables over the rapid field oscillations. This preserves Ward identities and restores…

High Energy Physics - Theory · Physics 2016-09-07 Anton Ilderton

We review recent applications of nonlocal effective field theory, focusing in particular on nonlocal chiral effective theory and nonlocal quantum electrodynamics (QED), as well as an extension of nonlocal effective theory to curved…

High Energy Physics - Phenomenology · Physics 2025-10-01 P. Wang , Zhengyang Gao , Fangcheng He , Chueng-Ryong Ji , W. Melnitchouk , Y. Salamu

I present a unified formulation of anomalous contributions in quantum field theories by calculating directly the effective action using the background field and covariant-derivative expansion technique. I use this method to determine…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lai-Him Chan

In this thesis, we investigate the implications of Lorentz-violating (LV) theories, focusing on Very Special Relativity (VSR) and its phenomenological consequences. Initially presented as an alternative mechanism for neutrino masses, VSR…

High Energy Physics - Phenomenology · Physics 2025-07-30 Alessandro Santoni

The density-functional approach to quantum electrodynamics is extending traditional density-functional theory and opens the possibility to describe electron-photon interactions in terms of effective Kohn-Sham potentials. In this work, we…

Quantum Physics · Physics 2016-02-17 Johannes Flick , Michael Ruggenthaler , Heiko Appel , Angel Rubio

If violation of Lorentz and CPT symmetry is introduced into the fermion sector of conventional quantum electrodynamics, then the Chern-Simons term is radiatively induced with finite nonzero coefficient, as well as the Maxwell term is with…

High Energy Physics - Theory · Physics 2014-11-18 Yu. A. Sitenko

We consider, in more details than it was done previously, the effective low-energy behavior in the quantum theory of a light scalar field coupled to another scalar with much larger mass. The main target of our work is an IR decoupling of…

High Energy Physics - Theory · Physics 2019-10-29 Tiago G. Ribeiro , Ilya L. Shapiro

We study Abelian Maxwell-Chern-Simons theory in three-dimensional $AdS$ black hole backgrounds for both integer and non-integer Chern-Simons coupling. Such theories can be derived from various string theory constructions, which we review in…

High Energy Physics - Theory · Physics 2015-06-22 Han-Chih Chang , Mitsutoshi Fujita , Matthias Kaminski

We study 2+1 Chern-Simons gravity at the classical action level. In particular we rederive the linear combinations of the ``standard'' and ``exotic'' Einstein actions, from the (anti) self-duality of the ``internal'' Lorentzian indices. The…

High Energy Physics - Theory · Physics 2009-10-31 H. Garcia-Compean , O. Obregon , C. Ramirez , M. Sabido