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We derive the expression of the abelian axial anomaly in the so-called multi-Weyl and triple-point crossing semimetals. No simplifying restrictions are assumed on the symmetry of the spectrum. Three different computation methods are…

Strongly Correlated Electrons · Physics 2018-06-27 Luca Lepori , Michele Burrello , Enore Guadagnini

Quantum fluctuations lead to an anomalous violation of parity symmetry in quantum electrodynamics for an even number of spatial dimensions. While the leading parity-odd electric current vanishes in vacuum, we uncover a non-cancellation of…

Quantum Gases · Physics 2020-05-06 Robert Ott , Torsten V. Zache , Niklas Mueller , Jürgen Berges

The noncommutativity of the momentum components, arising from spacetime torsion coupled to spin, replaces the integration over the momentum in loop Feynman diagrams with the summation over the momentum eigenvalues. This prescription…

High Energy Physics - Theory · Physics 2018-08-30 Nikodem Popławski

We consider an effective theory for a shift-symmetric, quadratically-coupled, ultralight spin-0 field. The leading CP-conserving interactions with Standard Model fields in the effective theory arise at dimension 8. We discuss the…

High Energy Physics - Phenomenology · Physics 2026-01-05 Minyuan Jiang , Benjamin D. Pecjak , Gilad Perez , Somasundaram Sankaranarayanan

We analytically obtain a new charged Lifshtitz solution by adding a non-relativistic Maxwell field in Horava-Lifshitz gravity. The black hole exhibits an anisotropic scaling between space and time (Lifshitz scaling) in the UV limit, while…

High Energy Physics - Theory · Physics 2017-03-24 Cheng-Jian Luo , Xiao-Mei Kuang , Fu-Wen Shu

One of the challenges in connecting higher dimensional theories to cosmology is stabilization of the moduli fields. We investigate the role of a Lorentz violating vector field in the context of stabilization. Specifically, we compute the…

General Relativity and Quantum Cosmology · Physics 2009-09-17 Richard K. Obousy , Gerald Cleaver

In an analogy to the odd-dimensional case we define the parity anomaly as the part of the one-loop effective action for fermions associated with spectral asymmetry of the Dirac operator. This quantity is computed directly on…

High Energy Physics - Theory · Physics 2017-07-19 M. Kurkov , D. Vassilevich

There exist two deformations of standard electrodynamics that describe Lorentz symmetry violation in the photon sector: CPT-odd Maxwell-Chern-Simons theory and CPT-even modified Maxwell theory. In this article, we focus on the parity-odd…

High Energy Physics - Theory · Physics 2015-03-19 Marco Schreck

We derive the complete set of two-loop anomalous dimensions describing the mixing of four-fermion operators in the Low Energy Effective Field Theory (LEFT). The calculation is performed in Naive Dimensional Regularization with anticommuting…

High Energy Physics - Phenomenology · Physics 2026-05-08 Jason Aebischer , Pol Morell , Marko Pesut , Javier Virto

We consider a electron in a external field in D=5, through the Dirac equation in the Galilean symmetry approach, and in the Lorentz symmetry approach; from these we perform the nonrelativistic limit, then we procede the supersymmetry of the…

Quantum Physics · Physics 2011-05-24 Gilmar de Souza Dias

We have investigated the perturbative ambiguity of the radiatively induced Chern-Simons term in differential regularization. The result obtained in this method contains all those obtained in other regularization schemes and the ambiguity is…

High Energy Physics - Theory · Physics 2009-10-31 W. F. Chen

Lorentz invariance violation is a feature of several quantum gravity models in which Lorentz symmetry is broken at high energies, leading to potential changes in particle behavior and interactions. In this study, we investigate vacuum…

High Energy Astrophysical Phenomena · Physics 2025-08-19 Andrey Saveliev , Rafael Alves Batista , Feodor Mishin

We introduce a $Sim(2)$ invariant dimensional regularization of loop integrals. Then we compute the one loop quantum corrections to the photon self energy, electron self energy and vertex in the Electrodynamics sector of the Very Special…

High Energy Physics - Theory · Physics 2018-07-24 Jorge Alfaro

Perturbative calculations in quantum field theory often require the regularization of infrared divergences. In quantum electrodynamics, such a regularization can for example be accomplished by a photon mass introduced via the Stueckelberg…

High Energy Physics - Phenomenology · Physics 2017-08-23 Mauro Cambiaso , Ralf Lehnert , Robertus Potting

We apply the finite-element lattice equations of motion for quantum electrodynamics given in the first paper in this series to examine anomalies in the current operators. By taking explicit lattice divergences of the vector and axial-vector…

High Energy Physics - Phenomenology · Physics 2009-09-25 Dean Miller , Kimball A. Milton , Stephan Siegemund-Broka

Quantum photon effects in vacuum provide an interesting setting to test quantum electrodynamics, serving as a source for predictions about physics beyond the Standard Model. In this paper, we investigate these effects by calculating the…

High Energy Physics - Theory · Physics 2026-02-27 L. C. T. Brito , J. C. C. Felipe , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov

Some effects of vacuum polarization in QED due to the presence of field sources are investigated. We focus on effects with no counter-part in Maxwell electrodynamics. The the Uehling interaction energy between two stationary point-like…

High Energy Physics - Theory · Physics 2019-05-27 M. F. X. P. Medeiros , F. E. Barone , F. A. Barone

We present a unified, SI-consistent framework to constrain minimal SME coefficients $a_\mu$ and $b_\mu$ using magnetically confined two-dimensional electron systems under a uniform magnetic field. Working in the nonrelativistic…

Mesoscale and Nanoscale Physics · Physics 2025-10-29 Edilberto O. Silva

I present a novel Four-Dimensional Regularization/Renormalization approach (FDR) to ultraviolet divergences in field theories which can be interpreted as a natural separation between physical and non physical degrees of freedom. Based on…

High Energy Physics - Phenomenology · Physics 2012-12-03 Roberto Pittau

We show that an anomalous pinch can occur in ultrarelativistic electron-electron or positron-positron beam interaction, caused by the combined interplay of collective beam motion (disruption) and strong-field quantum electrodynamics…

Plasma Physics · Physics 2025-09-15 W. Zhang , T. Grismayer , L. O. Silva