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In this work, we formulate the theory of Lorentz-violating scalar Quantum Chromodynamics with an arbitrary non-Abelian gauge group. This theory belongs to the class of models encompassed by the standard model extension framework. At the…

High Energy Physics - Theory · Physics 2023-06-05 B. Altschul , L. C. T. Brito , J. C. C. Felipe , S. Karki , A. C. Lehum , A. Yu. Petrov

We show that coupling the Standard Model to a Lorentz symmetry violating sector may co-exist with viable phenomenology, provided that the interaction between the two is mediated by higher-dimensional operators. In particular, if the new…

High Energy Physics - Theory · Physics 2013-05-30 Maxim Pospelov , Yanwen Shang

Lorentz violation through a radiatively induced Chern-Simons-like term in a fermionic theory embedded in linearized quantum gravity with a Lorentz- and CPT-violating axial-vector term in the fermionic sector proportional to a constant field…

High Energy Physics - Theory · Physics 2014-06-20 J. C. C. Felipe , A. R. Vieira , A. L. Cherchiglia , A. P. Baêta Scarpelli , Marcos Sampaio

In this paper, we describe the perturbative generation of the higher-derivative Lorentz-breaking terms for the gauge field, that is, the Myers-Pospelov term and the higher-derivative Carroll-Field-Jackiw term. These terms are explicitly…

High Energy Physics - Theory · Physics 2015-06-03 T. Mariz , J. R. Nascimento , A. Yu. Petrov

We consider quantum electrodynamics with an additional Lorentz- and CPT-violating axial-vector term in the fermionic sector and discuss the possibility that radiative corrections induce a Lorentz- and CPT-violating Chern-Simons-like term…

High Energy Physics - Theory · Physics 2009-11-07 C. Adam , F. R. Klinkhamer

We derive a modified dispersion relation (MDR) in the Lorentz violation extension of quantum electrodynamics (QED) sector in the standard model extension (SME) framework. Based on the extended Dirac equation and corresponding MDR, we…

High Energy Physics - Phenomenology · Physics 2010-10-27 Zhi Xiao , Bo-Qiang Ma

We propose a CPT-even and Lorentz-violating dimension-five nonminimal coupling between fermionic and gauge fields, involving the CPT-even and Lorentz-violating gauge tensor of the Standard-Model Extension. This nonminimal coupling modifies…

High Energy Physics - Theory · Physics 2017-08-23 R. Casana , M. M. Ferreira , E. Passos F. E. P. Dos Santos , E. O. Silva

The CPT-even sector of the standard model extension amounts to extending Maxwell electrodynamics by a gauge invariant term of the form $- \frac{1}{4} (k _{F}) _{\alpha \beta \mu \nu} F ^{\alpha \beta} F ^{\mu \nu}$, where the…

High Energy Physics - Theory · Physics 2016-11-09 A. Martín-Ruiz , C. A. Escobar

The Maxwell-Lorentz theory of electrodynamics cannot readily be applied to a system of point charges: the electromagnetic field is not well-defined at the position of a point charge, an energy conservation argument is not obvious, an…

Classical Physics · Physics 2020-03-24 Mischa Moerkamp

We demonstrate explicitly the absence of the quantum corrections to the Carroll-Field-Jackiw (CFJ) term beyond one-loop within the Lorentz-breaking CPT-odd extension of QED. The proof holds within two prescriptions of quantum calculations,…

High Energy Physics - Theory · Physics 2021-03-02 L. C. T. Brito , J. C. C. Felipe , A. Yu. Petrov , A. P. Baêta Scarpelli

We examine one of the standard loci for studying electromagnetic wave emission -- the radiation from an oscillating electric dipole -- in a model in which the electromagnetic sector is modified to include novel CPT- and Lorentz-violating…

High Energy Physics - Theory · Physics 2024-02-07 Joshua O'Connor , Brett Altschul

We present a model for a system involving a photon gauge field and a scalar field at quantum criticality in the frame of a Lifthitz-type non-relativistic Maxwell theory. We will show this model gives rise to Lorentz and CPT violation which…

High Energy Physics - Phenomenology · Physics 2014-11-20 Yi-Fu Cai , Mingzhe Li , Xinmin Zhang

The electrodynamics of Weyl semimetals (WSMs) is an extension of Maxwell's theory where in addition to field strength tensor $F_{\mu\nu}$, an axion field enters the theory which is parameterized by a four-vector $b^\mu=(b_0,\bf b)$. In the…

Strongly Correlated Electrons · Physics 2019-11-20 Zahra Jalali-Mola , S. A. Jafari

In the current paper the properties of a quantum field theory based on certain sets of Lorentz-violating coefficients in the nonminimal fermion sector of the Standard-Model Extension are analyzed. In particular, three families of…

High Energy Physics - Theory · Physics 2014-11-05 M. Schreck

We develop a differential-form approach to systematically derive the Newman-Penrose null-tetrad equations for Lorentz-violating extensions of Maxwell electrodynamics. The coordinate-independent nature of differential forms allows the…

High Energy Physics - Phenomenology · Physics 2026-03-03 Zhi Xiao , Bing Sun , Tao Zhu

We investigate the propagation of gravitational waves in the presence of Lorentz- and diffeomorphism-violating operators within the linearized gravitational sector of the Standard Model Extension. Focusing on isotropic contributions, we…

General Relativity and Quantum Cosmology · Physics 2026-05-19 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo

This paper investigates the Casimir Energy modifications due to the Lorentz-violating CPT-even contribution in an extension of the scalar QED. We have considered the complex scalar field satisfying Dirichlet boundary conditions between two…

High Energy Physics - Theory · Physics 2023-02-20 M. C. Araújo , J. Furtado , R. V. Maluf

Lorentz- and CPT-violating models of electrodynamics with Chern-Simons terms are typically plagued by various sorts of instabilities. However, when the Chern-Simons term arises from a slow time variation in a pseudoscalar field with an…

High Energy Physics - Theory · Physics 2020-08-11 Sapan Karki , Brett Altschul

The first principle derivation of kinetic transport equations suggests that a CP-violating mass term during the electroweak phase transition can induce axial vector currents. Since the important terms are of first order in gradients there…

High Energy Physics - Phenomenology · Physics 2010-04-05 Thomas Konstandin , Tomislav Prokopec , Michael G. Schmidt

In the context of conventional quantum field theory, we present a general Lorentz-violating extension of the minimal SU(3) x SU(2) x U(1) standard model including CPT-even and CPT-odd terms. It can be viewed as the low-energy limit of a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Don Colladay , Alan Kostelecky
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