Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory
Abstract
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:
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1427565
- Alternate Identifier(s):
- OSTI ID: 1440355
- Report Number(s):
- BNL-205730-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 051901
- Grant/Contract Number:
- SC0012704; SFB 1225
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 5; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Mueller, Niklas, and Venugopalan, Raju. Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory. United States: N. p., 2018.
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. https://doi.org/10.1103/PhysRevD.97.051901
Mueller, Niklas, and Venugopalan, Raju. Wed .
"Chiral anomaly, Berry phase, and chiral kinetic theory from worldlines in quantum field theory". United States. https://doi.org/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}
}
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