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We investigate chiral anomaly for fermions in fundamental representation on noncommutative (fuzzy) 2-sphere. In spite that this system is realized by finite dimensional matrices and no regularization is necessary for either UV or IR, we can…

高能物理 - 理论 · 物理学 2009-11-07 Hajime Aoki , Satoshi Iso , Keiichi Nagao

We show that the chiral anomaly of quantum field theories with Dirac fermions subject to an axial background field is an inherent property of kinematics of a perfect classical fluid. Celebrated Beltrami flows (stationary solutions of Euler…

高能物理 - 理论 · 物理学 2022-06-29 P. B. Wiegmann , A. G. Abanov

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…

高能物理 - 理论 · 物理学 2022-12-06 Tatsuya Amitani , Yusuke Nishida

In view of the recent applications of chiral anomaly to various fields beyond particle physics, we discuss some basic aspects of chiral anomaly which may help deepen our understanding of chiral anomaly in particle physics also. It is first…

高能物理 - 理论 · 物理学 2018-02-07 Kazuo Fujikawa

We propose a formalism to extract the $\gamma\pi\to\pi\pi$ chiral anomaly $F_{3\pi}$ from calculations in lattice QCD performed at larger-than-physical pion masses. To this end, we start from a dispersive representation of the…

高能物理 - 唯象学 · 物理学 2021-12-16 Malwin Niehus , Martin Hoferichter , Bastian Kubis

The chiral anomaly is a quantum mechanical effect for massless Dirac fermions in both particle physics and condensed matter physics. Here we present a set of effective models for single massless Dirac fermions in one- and three-dimensions…

介观与纳米尺度物理 · 物理学 2025-09-11 Huan-Wen Wang , Bo Fu , Shun-Qing Shen

Anomalous correlators of vector and axial currents which enter the Kubo formulae for the chiral magnetic and the chiral separation conductivities are explicitly calculated for free overlap fermions on the lattice. The results are confronted…

高能物理 - 格点 · 物理学 2014-03-19 P. V. Buividovich

We derive dispersive representations for the anomalous process gamma pi --> pi pi with the pi pi P-wave phase shift as input. We investigate how in this framework the chiral anomaly can be extracted from a cross-section measurement using…

高能物理 - 唯象学 · 物理学 2012-12-20 Martin Hoferichter , Bastian Kubis , Dimitrios Sakkas

The chiral U(1) anomalies associated with a fermion of spin 1/2 interacting with nonabelian vector and axial-vector fields in four- and six-dimensional curved space are given in tensorial form.

高能物理 - 理论 · 物理学 2017-06-26 S. Yajima , K. Eguchi , M. Fukuda , T. Oka , H. Taira , S. Yamashita

The bulk quantization method is used for regularizing a conventional four dimensional theory of massless fermions coupled to an external non-Abelian gauge field and for subsequently evaluating the associated Ward identity. As a result one…

高能物理 - 理论 · 物理学 2009-11-07 Thomas Klose , Sorin Marculescu

We investigated the origin of the RI'/MOM quark mass under the Landau gauge at the non-perturbative scale, using the chiral fermion with different quark masses and lattice spacings. Our result confirms that such a mass is non-vanishing…

高能物理 - 格点 · 物理学 2020-03-31 Yi-Bo Yang , Jian Liang , Zhaofeng Liu , Peng Sun

We evaluate the contribution of chiral fermions in $d=2, 4, 6$, chiral bosons, a chiral gravitino like theory in $d=2$ and chiral gravitinos in $d=6$ to all the leading parity odd transport coefficients at one loop. This is done by using…

高能物理 - 理论 · 物理学 2015-09-03 Subham Dutta Chowdhury , Justin R. David

We consider four-dimensional chiral gauge theories defined over a spacetime manifold with topology $\mathbb{R}^3 \times S^1$ and periodic boundary conditions over the compact dimension. The effective gauge-field action is calculated for…

高能物理 - 理论 · 物理学 2018-03-14 K. J. B. Ghosh , F. R. Klinkhamer

We extend the standard second order effective chiral Lagrangian of pions and nucleons by considering the coupling to an external gravitational field. As an application we calculate one-loop corrections to the one-nucleon matrix element of…

高能物理 - 唯象学 · 物理学 2020-11-04 H. Alharazin , D. Djukanovic , J. Gegelia , M. V. Polyakov

The "parity" anomaly -- more accurately described as an anomaly in time-reversal or reflection symmetry -- arises in certain theories of fermions coupled to gauge fields and/or gravity in a spacetime of odd dimension. This anomaly has…

高能物理 - 理论 · 物理学 2016-12-07 Edward Witten

The relation $Tr \gamma_{5}= 0$ implies the contribution to the trace from unphysical (would-be) species doublers in lattice gauge theory. This statement is also true for the Pauli-Villars regularization in continuum theory. If one insists…

高能物理 - 格点 · 物理学 2009-10-31 Kazuo Fujikawa

We compute one of the second order transport coefficients arising from the chiral anomaly in a high temperature weakly coupled regime of quark-gluon plasma. This transport coefficient is responsible for the CP-odd current that is…

高能物理 - 唯象学 · 物理学 2015-07-29 Amadeo Jimenez-Alba , Ho-Ung Yee

This is the second in a series of two contributions in which we set out to establish a novel momentum space framework to treat field theoretical infinities in perturbative calculations when parity-violating objects occur. Since no analytic…

高能物理 - 理论 · 物理学 2014-11-18 A. P. Baeta Scarpelli , M. Sampaio , M. C. Nemes , B. Hiller

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…

高能物理 - 理论 · 物理学 2009-10-31 F. R. Klinkhamer , J. Nishimura

We show in the Wilson model that the contribution of the regular mass term to the four-divergence of the axial vector current in weak coupling perturbation theory is not zero in the chiral limit and is precisely the axial anomaly. Explicit…

高能物理 - 格点 · 物理学 2007-05-23 H. Banerjee , Asit K. De