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Absence of Energy Currents in an Equilibrium State and Chiral Anomalies

Kapustin, Anton and Spodyneiko, Lev (2019) Absence of Energy Currents in an Equilibrium State and Chiral Anomalies. Physical Review Letters, 123 (6). Art. No. 060601. ISSN 0031-9007. doi:10.1103/PhysRevLett.123.060601.

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A long time ago, Bloch showed that in a system of interacting nonrelativistic particles the net particle-number current must vanish in any equilibrium state. Bloch’s argument does not generalize easily to the energy current. We devise an alternative argument which proves the vanishing of the net energy currents in equilibrium states of lattice systems as well as systems of nonrelativistic particles with finite-range potential interactions. We discuss some applications of these results. In particular, we show that neither a one-dimensional (1D) lattice system nor a 1D system of nonrelativistic particles with finite-range potential interactions can flow to a conformal field theory with unequal left-moving and right-moving central charges.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
Spodyneiko, Lev0000-0002-6099-7717
Additional Information:© 2019 American Physical Society. Received 27 April 2019; revised manuscript received 21 May 2019; published 6 August 2019. A. K. is grateful to H. Watanabe for a discussion of Bloch’s theorem. This research was supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DESC0011632. A. K. was also supported by the Simons Investigator Award.
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Simons FoundationUNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20190520-091208855
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95590
Deposited By: Tony Diaz
Deposited On:20 May 2019 16:27
Last Modified:16 Nov 2021 17:13

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