@article{f4cafbd733844d45a7ed0c2feb38dc71,

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

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 Schr{\"o}dinger 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.",

author = "Tomoya Hayata and Yoshimasa Hidaka",

note = "Funding Information: T. H. thanks T. Doi and Y. Kikuchi for useful comments. This work was supported by JSPS KAKENHI Grants No. 17H06462 and No. 18H01211. The numerical calculations were carried out on XC40 at YITP in Kyoto University, and on cluster computers at iTHEMS in RIKEN. We used PETSc , SLEPc , and their Python bindings (petsc4py and slepc4py ) for high-performance computing of matrix multiplications and matrix exponentials. Publisher Copyright: {\textcopyright} 2021 authors. Published by the American Physical Society.",

year = "2021",

month = may,

day = "10",

doi = "10.1103/PhysRevD.103.094502",

language = "English",

volume = "103",

journal = "Physical Review D",

issn = "2470-0010",

publisher = "American Physical Society",

number = "9",

}