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We consider Kaplan's domain wall fermions in the presence of an Anti-de Sitter (AdS) background in the extra dimension. Just as in the flat space case, in a completely vector-like gauge theory defined after discretizing this extra…

High Energy Physics - Lattice · Physics 2009-09-17 Tanmoy Bhattacharya , Csaba Csaki , Matthew R. Martin , Yuri Shirman , John Terning

We show that the gauge and metric field contribution to the axial anomaly of a four-dimensional massless Lifshitz fermion theory with anisotropy scaling exponent z is identical to the relativistic case, hereby extending the results found in…

High Energy Physics - Theory · Physics 2015-05-30 Ioannis Bakas

For (3+1)-dimensional fermions, a net axial charge and external magnetic field can lead to a current parallel to the magnetic field. This is the chiral magnetic effect. We use gauge-gravity duality to study the chiral magnetic effect in…

High Energy Physics - Theory · Physics 2015-05-28 Carlos Hoyos , Tatsuma Nishioka , Andy O'Bannon

In the recent paper [3] it was shown that the consistency of the quantum theory of a sterile scalar coupled to massive fermions requires the inclusion of odd-power terms in the potential of scalar self-interaction. One of the most important…

High Energy Physics - Theory · Physics 2022-04-26 Jessica S. Martins , Oliver F. Piattella , Ilya L. Shapiro , Alexei A. Starobinsky

This article deals with two main topics. One is odd parity trace anomalies in Weyl fermion theories in a 4d curved background, the second is the introduction of axial gravity. The motivation for reconsidering the former is to clarify the…

High Energy Physics - Theory · Physics 2017-09-13 L. Bonora , M. Cvitan , P. Dominis Prester , A. Duarte Pereira , S. Giaccari , T. Stemberga

We study the coupling of a 2+1 dimensional non-relativistic spin 1/2 fermion to a curved Newton-Cartan geometry, using null reduction from an extra-dimensional relativistic Dirac action in curved spacetime. We analyze Weyl invariance in…

High Energy Physics - Theory · Physics 2017-09-13 Roberto Auzzi , Stefano Baiguera , Giuseppe Nardelli

We discuss inflation models within supersymmetry and supergravity frameworks with a landscape of chiral superfields and one $U(1)$ shift symmetry which is broken by non-perturbative symmetry breaking terms in the superpotential. We label…

High Energy Physics - Phenomenology · Physics 2018-04-18 Pran Nath , Maksim Piskunov

The emergence of chiral anomaly entails various fascinating phenomena such as anomalous quantum Hall effect and chiral magnetic effect in different branches of (non-)Hermitian physics. While in the single-particle picture, anomalous…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Sharareh Sayyad

We consider accelerated and rotating media of weakly interacting fermions in local thermodynamic equilibrium. Kinetic properties of this media are described by covariant Wigner function calculated on the basis of relativistic distribution…

High Energy Physics - Theory · Physics 2018-05-02 George Prokhorov , Oleg Teryaev

We investigate the emergence of geometric phases in chiral transformations within gauge theories coupled to fermions. We begin by analyzing the Schwinger model in (1+1) dimensions, where chiral symmetry is explicitly modified due to the…

High Energy Physics - Theory · Physics 2025-07-10 Jorge Gamboa

We present a field theoretical model of anomalous transport in Weyl semi-metals. We calculate the Chiral Magnetic and Chiral Vortical Effect in the electric, axial (valley) and energy current. Our findings coincide with the results of a…

High Energy Physics - Theory · Physics 2014-02-26 Karl Landsteiner

In this mini review, we discuss some recent developments regarding properties of (quantum) field-theory models containing anti-Hermitian Yukawa interactions between pseudoscalar fields (axions) and Dirac (or Majorana) fermions.…

High Energy Physics - Phenomenology · Physics 2021-11-15 Nick E. Mavromatos

We consider the chiral anomaly for systems with a wide class of Hermitian Dirac operators ${Q}$ in 4D Euclidean spacetime. We suppose that $ Q$ is not necessarily linear in derivatives and also that it contains a coordinate inhomogeneity…

High Energy Physics - Theory · Physics 2025-11-26 Praveen D. Xavier , M. A. Zubkov

Dirac fermions coupled to gauge fields can exhibit the chiral anomaly even on a finite spatial lattice. A careful description of this phenomenon yields new insights into the nature of spin-charge relations and on-site symmetries (symmetries…

High Energy Physics - Theory · Physics 2018-11-16 Djordje Radicevic

We study equilibrium transport properties of massless Dirac fermions at finite temperature and chemical potential in spacetime accompanied by torsion, which in four dimensions couples with Dirac fermions as an axial gauge field. In…

High Energy Physics - Theory · Physics 2022-12-06 Tatsuya Amitani , Yusuke Nishida

We argue that a close analog of the axial-current anomaly of quantum field theories with fermions occurs in the classical Euler fluid. The conservation of the axial current (closely related to the helicity of inviscid barotropic flow) is…

High Energy Physics - Theory · Physics 2024-04-16 A. G. Abanov , P. B. Wiegmann

We elaborate the quasiclassical approach to obtain the modified chiral magnetic effect in the case when massless charged fermions interact with electromagnetic fields and the background matter by the electroweak forces. The derivation of…

High Energy Physics - Phenomenology · Physics 2018-03-16 Maxim Dvornikov , Victor B. Semikoz

In the past year domain wall fermion simulations have moved from exploratory stages to the point where systematic effects can be studied with different gauge couplings, volumes, and lengths in the fifth dimension. Results are presented here…

High Energy Physics - Lattice · Physics 2009-10-31 Matthew Wingate

The chiral fermion model with local multifermion interactions proposed in Nucl. Phys. B486 (1997) 282 and Phys. Rev. D61 (2000) 054502 processes an exact SU_L(2) chiral gauge symmetry and SU_L(2) by U_R(1) chiral flavour symmetry on a…

High Energy Physics - Lattice · Physics 2009-10-31 She-Sheng Xue

We derive new constraints on light vectors coupled to Standard Model (SM) fermions, when the corresponding SM current is broken by the chiral anomaly. Cancellation of the anomaly by heavy fermions results, in the low-energy theory, in…

High Energy Physics - Phenomenology · Physics 2021-02-05 Jeff A. Dror , Robert Lasenby , Maxim Pospelov
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