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Abelian anomaly is examined by means of the recently proposed gauge invariant regularization for SO(10) chiral gauge theory and its generalization for a theory of arbitrary gauge group with anomaly-free chiral fermion contents. For both…

高能物理 - 理论 · 物理学 2009-10-22 S. Aoki , Y. Kikukawa

I study variations of the fermionic determinant for a nonabelian Dirac fermion with external vector and axial vector sources. I consider different regularizations, leading to different chiral anomalies when the variations are chiral…

高能物理 - 理论 · 物理学 2007-05-23 Jan B. Thomassen

The one-loop structure of the trace anomaly is investigated using different regularizations and renormalization schemes: dimensional, proper time and Pauli-Villars. The universality of this anomaly is analyzed from a very general…

高能物理 - 理论 · 物理学 2009-02-25 M. Asorey , E. V. Gorbar , I. L. Shapiro

We study the excitation of the electric current of chiral fermions along the external magnetic field, known as the chiral magnetic effect, in the presence of the background axial-vector field. The calculation of the current is based on the…

高能物理 - 唯象学 · 物理学 2018-08-22 Maxim Dvornikov

Using path integral method (Fujikawa's method) we calculate anomalies in noncommutative gauge theories with fermions in the bi-fundamental and adjoint representations. We find that axial and chiral gauge anomalies coming from non-planar…

高能物理 - 理论 · 物理学 2013-05-29 Tadahito Nakajima

We study fermions derivatively coupled to axion-like or pseudoscalar fields, and show that the axial vector current of the fermions is not conserved in the limit where the fermion is massless. This apparent violation of the classical chiral…

高能物理 - 理论 · 物理学 2022-08-24 Peter Adshead , Kaloian D. Lozanov

We point out that a fermion determinant of a chiral gauge theory on a 2D torus has a phase ambiguity proportional to the Polyakov loops along the boundaries, which can be reproduced by the overlap formalism. We show that the requirement on…

高能物理 - 格点 · 物理学 2009-10-31 Taku Izubuchi , Jun Nishimura

We write general one-loop anomalies of string field theory as path integrals on a torus for the corresponding nonlinear sigma model. This extends the work of Alvarez-Gaum\'e and Witten from quantum mechanics to two dimensions. Higher…

高能物理 - 理论 · 物理学 2009-10-30 Agapitos Hatzinikitas , Koenraad Schalm , Peter van Nieuwenhuizen

We rederive the conformal anomaly for spin-1/2 fermions by a genuine Feynman graph calculation, which has not been available so far. Although our calculation merely confirms a result that has been known for a long time, the derivation is…

高能物理 - 理论 · 物理学 2018-05-02 Hadi Godazgar , Hermann Nicolai

Imposing the conservation equation of the vector current for a fermion of spin $\frac{1}{2}$ at the quantum level, a gauge anomaly for the fermion coupling with non-Abelian vector and axial--vector fields in six--dimensional curved space is…

高能物理 - 理论 · 物理学 2019-12-06 Satoshi Yajima , Kohei Eguchi , Makoto Fukuda , Tomonori Oka

Quantum anomalies give rise to novel transport phenomena, including the generation of a current in a relativistic fluid due to the presence of magnetic field or vorticity. We present an exclusive and direct computation of the chiral anomaly…

高能物理 - 理论 · 物理学 2025-07-04 Rémy Larue , Jérémie Quevillon , Diego Saviot

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…

高能物理 - 理论 · 物理学 2017-09-13 Roberto Auzzi , Stefano Baiguera , Giuseppe Nardelli

This note is a comment on some recent papers that have raised a controversy about the existence of the odd-parity trace anomaly in a four-dimensional theory of Weyl fermions. Without going into too technical details we explain why the…

高能物理 - 理论 · 物理学 2020-01-07 Loriano Bonora , Roberto Soldati

An implicit four dimensional regularization is applied to calculate the axial-vector-vector anomalous amplitude. The present technique always complies with results of Dimensional Regularization and can be easily applied to processes…

高能物理 - 唯象学 · 物理学 2007-05-23 O. A. Battistel , G. Dallabona , M. C. Nemes , B. Hiller

We calculate the chiral anomaly in the neighbourhood of the fixed point space M_h which is constructed by the group action of a discrete symmetry h on a compact manifold M. The Feynman diagrams approach for the corresponding supersymmetric…

高能物理 - 理论 · 物理学 2007-05-23 Agapitos Hatzinikitas

We perform a chiral extrapolation of lattice data on the scalar K pi form factor and the ratio of the kaon and pion decay constants within Chiral Perturbation Theory to two loops. We determine the value of the scalar form factor at zero…

高能物理 - 唯象学 · 物理学 2010-05-28 Véronique Bernard , Emilie Passemar

Parity violating (PV) contributions due to interference between $\gamma$ and $Z^0$ exchange are calculated for pion electroproduction off the nucleon. A phenomenological model with effective Lagrangians is used to determine the resulting…

核理论 · 物理学 2015-06-26 H. -W. Hammer , D. Drechsel

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…

高能物理 - 理论 · 物理学 2017-09-13 L. Bonora , M. Cvitan , P. Dominis Prester , A. Duarte Pereira , S. Giaccari , T. Stemberga

Chiral gauge anomalies on noncommutative Minkowski Space-time are computed and have their origin elucidated. The consistent form and the covariant form of the anomaly are obtained. Both Fujikawa's method and Feynman diagram techniques are…

高能物理 - 理论 · 物理学 2009-11-07 C. P. Martin

We present a method to perform renormalized perturbation calculation in gauge theories with chiral fermions. We find it proper to focus directly on the Ward-Takahashi identities, relegating dimensional regularization into a supplementary…

高能物理 - 理论 · 物理学 2009-10-30 Hung Cheng , S. P. Li