• Open Access

Thermalization of Yang-Mills theory in a (3+1)-dimensional small lattice system

Tomoya Hayata and Yoshimasa Hidaka
Phys. Rev. D 103, 094502 – Published 10 May 2021

Abstract

We study the real-time evolution of SU(2) Yang-Mills theory in a (3+1)-dimensional small lattice system after interaction quench. We numerically solve the Schrödinger equation with the Kogut-Susskind Hamiltonian in the physical Hilbert space obtained by solving Gauss law constraints. We observe the thermalization of a Wilson loop to the canonical state; the relaxation time is insensitive to the coupling strength and estimated as τeq2π/T with temperatures T at steady states. We also compute the vacuum persistence probability (the Loschmidt echo) to understand the relaxation from the dynamics of the wave function.

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  • Received 3 December 2020
  • Accepted 25 March 2021

DOI:https://doi.org/10.1103/PhysRevD.103.094502

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.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsQuantum Information, Science & TechnologyStatistical Physics & ThermodynamicsAtomic, Molecular & Optical

Authors & Affiliations

Tomoya Hayata1 and Yoshimasa Hidaka2,3,4

  • 1Department of Physics, Keio University, 4-1-1 Hiyoshi, Kanagawa 223-8521, Japan
  • 2KEK Theory Center, Tsukuba 305-0801, Japan
  • 3Graduate University for Advanced Studies (Sokendai), Tsukuba 305-0801, Japan
  • 4RIKEN iTHEMS, RIKEN, Wako 351-0198, Japan

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Issue

Vol. 103, Iss. 9 — 1 May 2021

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