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

Tomoya Hayata, Yoshimasa Hidaka

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5 Citations (Scopus)


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 τeq∼2π/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.

Original languageEnglish
Article number094502
JournalPhysical Review D
Issue number9
Publication statusPublished - 2021 May 10

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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