Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism
Abstract
:1. Introduction
2. Preliminaries for the Anomaly-Induced Transport Phenomena
2.1. Anomalous (Non-)Conservation Laws for a Single Weyl Fermion
2.2. Zubarev’s Formula: Decomposing Dissipative and Nondissipative Transport
3. Perturbative Evaluation of Anomalous Transport Coefficients
3.1. Derivative Expansion of the Local Gibbs Distribution
3.2. One-loop Evaluation of Anomalous Transport Coefficients
4. Anomaly Matching for Local Thermodynamic Functional
4.1. Basic Properties of Local Thermodynamic Functional
4.1.1. Path-Integral Formula and Resulting Symmetry
4.1.2. Variational Formula in the Presence of Quantum Anomaly
4.2. Anomaly Matching for Local Thermodynamic Functional
4.2.1. Chiral Anomaly in Thermal Spacetime
4.2.2. Global Anomaly for Kaluza-Klein Gauge Transformation
5. Summary and Discussion
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Hongo, M.; Hidaka, Y. Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism. Particles 2019, 2, 261-280. https://doi.org/10.3390/particles2020018
Hongo M, Hidaka Y. Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism. Particles. 2019; 2(2):261-280. https://doi.org/10.3390/particles2020018
Chicago/Turabian StyleHongo, Masaru, and Yoshimasa Hidaka. 2019. "Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism" Particles 2, no. 2: 261-280. https://doi.org/10.3390/particles2020018