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  • Letter
  • Open Access

Real-time dynamics of Chern-Simons fluctuations near a critical point

Kazuki Ikeda1,*, Dmitri E. Kharzeev2,3,4,†, and Yuta Kikuchi3,‡

  • 1Research Institute for Advanced Materials and Devices, Kyocera Corporation, Soraku, Kyoto 619-0237, Japan
  • 2Center for Nuclear Theory, Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800, USA
  • 3Department of Physics, Brookhaven National Laboratory, Upton, New York 11973-5000
  • 4RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973-5000

  • *kazuki.ikeda.gtATkyocera.jp
  • †dmitri.kharzeevATstonybrook.edu
  • ‡ykikuchiATbnl.gov
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Phys. Rev. D 103, L071502 – Published 21 April, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L071502

Abstract

The real-time topological susceptibility is studied in (1+1)-dimensional massive Schwinger model with a θ-term. We evaluate the real-time correlation function of electric field that represents the topological Chern-Pontryagin number density in (1+1) dimensions. Near the parity-breaking critical point located at θ=π and fermion mass m to coupling g ratio of m/g≈0.33, we observe a sharp maximum in the topological susceptibility. We interpret this maximum in terms of the growth of critical fluctuations near the critical point, and draw analogies between the massive Schwinger model, QCD near the critical point, and ferroelectrics near the Curie point.

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Phys. Rev. D 103, L071502– Published 21 April, 2021
  • Received 16 December 2020
  • Accepted 22 March 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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