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 heavyion collisions. The real part of the fermion determinant in the QCD effective action is expressed as a supersymmetric worldline action of spinning, colored, Grassmanian point particles in background gauge fields, with equations of motion that are covariant generalizations of the BargmannMichelTelegdi and Wong equations. Berry’s phase is obtained in a consistent nonrelativistic 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 worldline 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 classicalstatistical simulations of the CME at early times and anomalous hydrodynamics at late times.
 Authors:

^{[1]};
^{[2]}
 Univ. Heidelberg, Heidelberg (Germany); Brookhaven National Lab. (BNL), Upton, NY (United States)
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Publication Date:
 Report Number(s):
 BNL2057302018JAAM
Journal ID: ISSN 24700010; 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 24700010
 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) (SC26)
 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 heavyion collisions. The real part of the fermion determinant in the QCD effective action is expressed as a supersymmetric worldline action of spinning, colored, Grassmanian point particles in background gauge fields, with equations of motion that are covariant generalizations of the BargmannMichelTelegdi and Wong equations. Berry’s phase is obtained in a consistent nonrelativistic 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 worldline 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 classicalstatistical 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}
}