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Related papers: U(1) Problem Revisited

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In the presence of a momentum cutoff, effective theories seem unable to faithfully reproduce the so called chiral anomaly in the Standard Model. A novel prospect to overcome this related issue is discussed herein via the calculation of the…

High Energy Physics - Phenomenology · Physics 2023-06-08 Hao Dang , Zanbin Xing , M. Atif Sultan , Khépani Raya , Lei Chang

Using the formula of chiral anomaly, we discuss the pair production of quarks under color electric field $\vec{E}$ without addressing explicit formula of quark's wavefunctions. The production is assumed to occur under the effect of color…

High Energy Physics - Phenomenology · Physics 2009-04-13 Aiichi Iwazaki

We present a new normalization condition for the axial current, which is derived from the PCAC relation with non-vanishing mass. Using this condition reduces the O(r_0 m) corrections to the axial current normalization constant Z_A for an…

High Energy Physics - Lattice · Physics 2009-11-10 R. Hoffmann , F. Knechtli , J. Rolf , R. Sommer , U. Wolff

Gauge invariant topological interactions, such as the D=5 Chern-Simons terms, are required in models in extra dimensions that split anomaly free representations. The Chern-Simons term is necessary to maintain the overall anomaly…

High Energy Physics - Theory · Physics 2008-11-26 Christopher T. Hill

In this study, we first heuristically construct the charges corresponding to the chiral transformation associated with the large U(1) gauge symmetry. We refer to these as the large chiral charges, and to the chiral transformation they…

High Energy Physics - Theory · Physics 2026-02-18 Shingo Takeuchi

The spontaneous breaking of chiral symmetry is examined by chiral effective theories, such as the linear sigma model and the Nambu Jona-Lasinio (NJL) model. Indicating that sufficiently large contribution of the UA(1) anomaly can break…

Nuclear Theory · Physics 2021-10-11 Shinnosuke Kono , Daisuke Jido , Yoshiki Kuroda , Masayasu Harada

Spontaneous chiral symmetry breaking and axial anomaly are studied in the light-front formulation. The existence of multiple vacua and a Nambu-Goldstone boson, both related to dynamical fermion zero modes, are demonstrated within a simple…

High Energy Physics - Theory · Physics 2009-10-31 L. Martinovic , J. P. Vary

We investigate the form factors of the chiral-odd nucleon matrix element of the tensor current. In particular, we aim at the anomalous tensor magnetic form factors of the nucleon within the framework of the SU(3) and SU(2) chiral…

High Energy Physics - Phenomenology · Physics 2014-11-21 Tim Ledwig , Antonio Silva , Hyun-Chul Kim

The chiral anomaly is a fundamental quantum mechanical phenomenon which is of great importance to both particle physics and condensed matter physics alike. In the context of QED it manifests as the breaking of chiral symmetry in the…

Strongly Correlated Electrons · Physics 2021-05-12 Colin Rylands , Alireza Parhizkar , Anton A. Burkov , Victor Galitski

We consider axially symmetric solutions of the U(1) gauged Skyrme model supplemented with a Callan-Witten (CW) anomaly density term. The main properties of the solutions are studied, several specific features introduced by the presence of…

High Energy Physics - Theory · Physics 2023-05-11 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

The flavor SU(3)_f group symmetry of QCD is systematically considered as the heavy c quark limit of SU(4)_f. Within that scheme we argue that the U(1)_A anomaly prevents Gell-Mann's choice for the realization of the su(4)_f (and thereby the…

Nuclear Theory · Physics 2009-10-31 M. Kirchbach

The approach to the eta'-eta complex employing chirally well-behaved quark-antiquark bound states and incorporating the non-Abelian axial anomaly of QCD through the generalization of the Witten-Veneziano relation, is extended to finite…

High Energy Physics - Phenomenology · Physics 2019-01-16 Davor Horvatić , Dalibor Kekez , Dubravko Klabučar

The effects of the axial anomaly are suppressed at high temperatures due to screening effects in the quark-gluon plasma. If the suppression is nearly complete close to the chiral transition temperature, this can have consequences for the…

High Energy Physics - Lattice · Physics 2011-12-05 Prasad Hegde

The quantum anomaly that breaks the U(1) axial symmetry of massless multi-flavored QCD leaves behind a discrete flavor-singlet chiral invariance. With massive quarks, this residual symmetry has a close connection with the strong…

High Energy Physics - Phenomenology · Physics 2011-07-14 Michael Creutz

The anomalous term $\sim\mathbf{EB}$ in the balance of the chiral density can be rewritten as quantum current in the classical balance of density. Therefore it does not violate classical conservation laws as it is claimed to be caused by…

Strongly Correlated Electrons · Physics 2019-05-01 Klaus Morawetz

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

We outline a novel chiral kinetic theory framework for systematic computations of the Chiral Magnetic Effect (CME) in ultrarelativistic heavy-ion collisions. The real part of the fermion determinant in the QCD effective action is expressed…

High Energy Physics - Phenomenology · Physics 2018-03-28 Niklas Mueller , Raju Venugopalan

It is shown that the widely used parton model expression for $ g_1$ in polarized proton-lepton scattering is incorrect as it ignores gluon-quark spin entanglement. Therefore, there is no spin crisis. A brief summary of results of the…

High Energy Physics - Phenomenology · Physics 2025-08-19 J. Pasupathy , Janardhan P. Singh

We propose a formulation of lattice fermions with one-sided differences that is hermitian, chirally symmetric (barring a bare mass term) and completely free of doubling. To obtain the axial anomaly in perturbation theory it was necessary to…

High Energy Physics - Lattice · Physics 2009-10-28 H. Banerjee , Asit K. De

The chiral anomaly is based on a non-conserved chiral charge and can happen in Dirac fermion systems under the influence of external electromagnetic fields. In this case, the spectral flow leads to a transfer of right- to left-moving…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Christoph Fleckenstein , Niccolò Traverso Ziani , Björn Trauzettel