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

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.
Authors:
 [1] ;  [2]
  1. Univ. Heidelberg, Heidelberg (Germany); Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Report Number(s):
BNL-205730-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:
SC0012704; SFB 1225
Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
OSTI Identifier:
1427565
Alternate Identifier(s):
OSTI ID: 1440355

Mueller, Niklas, and Venugopalan, Raju. Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory. United States: N. p., Web. doi:10.1103/PhysRevD.97.051901.
Mueller, Niklas, & Venugopalan, Raju. Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory. United States. doi:10.1103/PhysRevD.97.051901.
Mueller, Niklas, and Venugopalan, Raju. 2018. "Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory". United States. doi:10.1103/PhysRevD.97.051901.
@article{osti_1427565,
title = {Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory},
author = {Mueller, Niklas and Venugopalan, Raju},
abstractNote = {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.},
doi = {10.1103/PhysRevD.97.051901},
journal = {Physical Review D},
number = 5,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}