Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory

Mueller, Niklas; Venugopalan, Raju

doi:10.1103/PhysRevD.97.051901

Title: Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory

Journal Article · Wed Mar 21 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.97.051901· OSTI ID:1427565

Mueller, Niklas; Venugopalan, Raju

Here, 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 as a supersymmetric world-line action of spinning, colored, Grassmanian point particles in background gauge fields, with equations of motion that are covariant generalizations of the Bargmann-Michel-Telegdi and Wong equations. Berry’s phase is obtained in a consistent non-relativistic adiabatic limit. The chiral anomaly, in contrast, arises from the phase of the fermion determinant; its topological properties are therefore distinct from those of the Berry phase. We show that the imaginary contribution to the fermion determinant too can be expressed as a point particle world-line path integral and derive the corresponding anomalous axial vector current. Our results can be used to derive a covariant relativistic chiral kinetic theory including the effects of topological fluctuations that has overlap with classical-statistical simulations of the CME at early times and anomalous hydrodynamics at late times.

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Research Organization:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0012704; SFB 1225

OSTI ID:: 1427565

Alternate ID(s):: OSTI ID: 1440355

Report Number(s):: BNL-205730-2018-JAAM; PRVDAQ; 051901

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 60 works

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