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Chiral anomaly is a key feature of Lorentz-invariant quantum field theories: in presence of parallel external electric and magnetic fields, the number of massless Weyl fermions of a given chirality is not conserved. In condensed matter,…

Strongly Correlated Electrons · Physics 2026-02-20 Shantonu Mukherjee , Sayantan Sharma , Hridis K. Pal

Using the path integral formulation in Euclidean space, we extended the calculation of the abelian chiral anomalies in the case of Lorentz violating theories by considering a new fermionic correction term provided by the standard model…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Andrés Gómez , Luis Urrutia

We investigate the fermionic sector of a given theory, in which massive and charged Dirac fermions interact with an Abelian gauge field, including a non standard contribution that violates both Lorentz and CPT symmetries. We offer an…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , T. Mariz , J. R. Nascimento , E. Passos , R. F. Ribeiro

The chiral kinetic theory of Weyl fermions with collisions in the presence of weak electric and magnetic fields is derived from quantum field theories. It is found that the side-jump terms in the perturbative solution of Wigner functions…

High Energy Physics - Theory · Physics 2017-05-10 Yoshimasa Hidaka , Shi Pu , Di-Lun Yang

We study fermion mass correction to chiral kinetic equations in electromagnetic fields. Different from the chiral limit where fermion number density is the only independent distribution, the number and spin densities are coupled to each…

High Energy Physics - Phenomenology · Physics 2021-02-03 Ziyue Wang , Xingyu Guo , Shuzhe Shi , Pengfei Zhuang

We study fermion mass correction to chiral kinetic equations in electromagnetic fields. Different from the chiral limit where fermion number density is the only independent distribution, the number and spin densities are coupled to each…

High Energy Physics - Phenomenology · Physics 2019-07-24 Ziyue Wang , Xingyu Guo , Shuzhe Shi , Pengfei Zhuang

A spacetime-varying fine structure constant alpha(x^mu) could generate quantum corrections in some of the coefficients of the Lorentz-violating standard model extension (SME) associated with electrically charged fermions. The quantum…

High Energy Physics - Phenomenology · Physics 2012-10-16 Alejandro Ferrero , Brett Altschul

In this dissertation, we study the implications generated by the Lorentz breaking symmetry in quantum electrodynamics. We analyze fermions interacting with an electromagnetic field in the contexts of quantum mechanics and make radiative…

Quantum Physics · Physics 2010-07-27 D. M. Oliveira

The CPT anomaly, which was first seen in perturbation theory for certain four-dimensional chiral gauge theories, is also present in the exact result for a class of two-dimensional chiral U(1) gauge theories on the torus. Specifically, the…

High Energy Physics - Theory · Physics 2009-10-31 F. R. Klinkhamer , J. Nishimura

Chiral symmetries in field theory are typically affected by an anomaly in the quantum theory. This anomaly emerges when one introduces an interaction with a Yang-Mills or gravitational background. Physical applications of this quantum…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Adrian del Rio

If there exists Lorentz and CPT violation in nature, then it is crucial to discover and understand the underlying mechanism. In this contribution, we discuss one such mechanism which relies on four-dimensional chiral gauge theories defined…

High Energy Physics - Theory · Physics 2018-10-25 F. R. Klinkhamer

We derive the chiral kinetic theory under the presence of a gravitational Riemann curvature. It is well-known that in the chiral kinetic theory there inevitably appears a redundant ambiguous vector corresponding to the choice of the Lorentz…

High Energy Physics - Theory · Physics 2021-05-06 Tomoya Hayata , Yoshimasa Hidaka , Kazuya Mameda

We propose a classical action for the motion of massless Weyl fermions in a background gauge field in (2N+1)+1 spacetime dimensions. We use this action to derive the collisionless Boltzmann equation for a gas of such particles, and show how…

High Energy Physics - Theory · Physics 2015-06-16 Vatsal Dwivedi , Michael Stone

The issue of Lorentz fine-tuning in effective theories containing higher-order operators is studied. To this end, we focus on the Myers-Pospelov extension of QED with dimension-five operators in the photon sector and standard fermions. We…

High Energy Physics - Phenomenology · Physics 2015-05-18 Carlos M. Reyes , Sebastian Ossandon , Camilo Reyes

Many-body systems with chiral fermions exhibit anomalous transport phenomena originated from quantum anomalies. Based on quantum field theory, we derive the kinetic theory for chiral fermions interacting with an external electromagnetic…

High Energy Physics - Theory · Physics 2019-05-08 Yu-Chen Liu , Lan-Lan Gao , Kazuya Mameda , Xu-Guang Huang

We extend the epsilon-expansion of continuum chiral perturbation theory to nonzero lattice spacing in the framework of Wilson Chiral Perturbation Theory. We distinguish various regimes by defining the relative power counting of the quark…

High Energy Physics - Lattice · Physics 2010-11-05 Oliver Bar , Silvia Necco , Stefan Schaefer

The backreaction of a conformal matter sector and its associated conformal anomaly on gravity can be systematically studied using the formalism of the anomaly effective action. This action, defined precisely in flat spacetime within…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-27 Claudio Corianò , Stefano Lionetti , Dario Melle , Riccardo Tommasi , Leonardo Torcellini

An heuristic semiclassical procedure that incorporates quantum gravity induced corrections in the description of photons and spin 1/2 fermions is reviewed. Such modifications are calculated in the framework of loop quantum gravity and they…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Luis Urrutia

It is well known that a quantized two-dimensional Weyl fermion coupled to gravity spoils general covariance and breaks the covariant conservation of the energy-momentum tensor. In this brief article, we point out that the quantum…

High Energy Physics - Theory · Physics 2019-05-20 Pau Beltrán-Palau , Jose Navarro-Salas , Silvia Pla

We calculate chiral corrections to the semileptonic vector and axial quark coupling constants using a manifestly Lorentz covariant chiral quark approach up to order O(p4) in the two- and tree-flavor picture. These couplings are then used in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Amand Faessler , Thomas Gutsche , Barry R. Holstein , Valery E. Lyubovitskij
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