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Open AccessArticle

Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism

1
RIKEN iTHEMS, RIKEN, Wako, Saitama 351-0198, Japan
2
Research and Education Center for Natural Sciences, Keio University, Yokohama, Kanagawa 223-8521, Japan
3
Quantum Hadron Physics Laboratory, RIKEN Nishina Center, RIKEN, Wako, Saitama 351-0198, Japan
*
Author to whom correspondence should be addressed.
Particles 2019, 2(2), 261-280; https://doi.org/10.3390/particles2020018
Received: 25 February 2019 / Revised: 14 April 2019 / Accepted: 6 May 2019 / Published: 16 May 2019
(This article belongs to the Special Issue Nonequilibrium Phenomena in Strongly Correlated Systems)
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Abstract

A derivation of anomaly-induced transport phenomena—the chiral magnetic/vortical effect—is revisited based on the imaginary-time formalism of quantum field theory. Considering the simplest anomalous system composed of a single Weyl fermion, we provide two derivations: perturbative (one-loop) evaluation of the anomalous transport coefficient, and the anomaly matching for the local thermodynamic functional. View Full-Text
Keywords: finite temperature field theory; path integrals; quantum fields in curved spacetime; quantum statistical mechanics; symmetries; quantum anomalies; hydrodynamics finite temperature field theory; path integrals; quantum fields in curved spacetime; quantum statistical mechanics; symmetries; quantum anomalies; hydrodynamics
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Hongo, M.; Hidaka, Y. Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism. Particles 2019, 2, 261-280.

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