Abstract
In the last two decades it has been shown that quantum anomalies not only play an important role in particle physics, but also find novel applications in the physics of quantum fluids, leading to previously unknown nondissipative transport phenomena. In this paper we will discuss some aspects related to the search for manifestations of the gravitational chiral anomaly in a vortical and accelerated media.
Similar content being viewed by others
REFERENCES
V. I. Zakharov, “Chiral magnetic effect in hydrodynamic approximation,” Lect. Notes Phys. 871, 295 (2013). arXiv:1210.2186 [hep-ph].
S. Dubovsky, L. Hui, A. Nicolis, and D. T. Son, “Effective field theory for hydrodynamics: thermodynamics, and the derivative expansion,” Phys. Rev. D 85, 085029 (2012). arXiv:1107.0731 [hep-th].
K. Fukushima, D. E. Kharzeev, and H. J. Warringa, “The chiral magnetic effect,” Phys. Rev. D 78, 074033 (2008). arXiv:0808.3382 [hep-ph].
D. T. Son and P. Surowka, “Hydrodynamics with triangle anomalies,” Phys. Rev. Lett. 103, 191601 (2009). arXiv:0906.5044 [hep-th].
S. Z. Yang, J. H. Gao, and Z. T. Liang, “Constraining non-dissipative transport coefficients in global equilibrium,” Symmetry 14, 948 (2022). arXiv:2203.14023.
D. E. Kharzeev, “The chiral magnetic effect and anomaly-induced transport,” Prog. Part. Nucl. Phys. 75, 133–151 (2014). arXiv:1312.3348 [hep-ph].
G. Y. Prokhorov, O. V. Teryaev, and V. I. Zakharov, “Effects of rotation and acceleration in the axial current: density operator vs Wigner function,” J. High Energy Phys. 02, 146 (2019). arXiv:1807.03584.
K. Landsteiner, E. Megias, and F. Pena-Benitez, “Gravitational anomaly and transport,” Phys. Rev. Lett. 107, 021601 (2011). arXiv:1103.5006 [hep-ph]
K. Jensen, R. Loganayagam, and A. Yarom, “Thermodynamics, gravitational anomalies and cones,” J. High Energy Phys. 02, 088 (2013). arXiv:1207.5824 [hep-th].
M. Stone and J. Kim, “Mixed anomalies: chiral vortical effect and the Sommerfeld expansion,” Phys. Rev. D 98, 025012 (2018). arXiv:1804.08668.
S. L. Adler, “Analysis of a gauged model with a spin-\(\frac{1}{2}\) field directly coupled a Rarita–Schwinger spin-\(\frac{3}{2}\) field,” Phys. Rev. D 97, 045014 (2018). arXiv: 1711.00907.
G. Yu. Prokhorov, O. V. Teryaev, and V. I. Zakharov, “Gravitational chiral anomaly for spin 3/2 field interacting with spin 1/2 field,” Phys. Rev. D 106, 025022 (2022). arXiv:2202.02168.
G. Yu. Prokhorov, O. V. Teryaev, and V. I. Zakharov, “Chiral vortical effect in extended Rarita–Schwinger field theory and chiral anomaly,” Phys. Rev. D 105, L041701 (2022). arXiv:2109.06048.
J. Erdmenger, “Gravitational axial anomaly for four-dimensional conformal field theories,” Nucl. Phys. B 562, 315–329 (1999). arXiv:hep-th/9905176.
M. Buzzegoli, “Thermodynamic equilibrium of massless fermions with vorticity, chirality and electromagnetic field,” Lect. Notes Phys. 987, 53–93 (2021). arXiv: 2011.09974.
G. Yu. Prokhorov, O. V. Teryaev, and V. I. Zakharov, “Hydrodynamic manifestations of gravitational chiral anomaly,” Phys. Rev. Lett. 129, 151601 (2022). arXiv: 2207.04449.
Funding
This work was supported in part by the Russian Science Foundation, grant no. 22-22-00664.
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
The authors declare that they have no conflicts of interest.
Rights and permissions
About this article
Cite this article
Prokhorov, G.Y., Teryaev, O.V. & Zakharov, V.I. On the Search for a Gravitational Chiral Anomaly Outside Curved Spacetime. Phys. Part. Nuclei Lett. 20, 429–432 (2023). https://doi.org/10.1134/S1547477123030548
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1547477123030548