Topological properties of an SU(3) gauge system near the critical temperature on an anisotropic lattice

T. Hashimoto, S. Hioki, K. Hirose, T. Kanki, A. Kawazoe, M. Masujima, O. Miyamura, and Y. Osada
Phys. Rev. D 42, 620 – Published 15 July 1990
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Abstract

Topological quantities on an anisotropic SU(3) lattice around the critical temperature are studied. The distribution of instantons has been investigated through semilocal measurements of topological charge and magnetic and electric actions in the framework of a cooling method. The suppression of the topological susceptibility χt in a deconfining phase, seen on isotropic lattices, is found also on the anisotropic lattice. The instanton density is also suppressed above Tc. In addition to the instantons, other topological configurations are found and studied. Among those with no instantons, one class shows a vanishing topological charge density and metastable plateau of magnetic action in the cooling. Analyses of the magnetic charge, flux, and zero mode of a three-dimensional staggered fermionic operator indicate that such configurations have a nontrivial structure of magnetic flux and monopoles of the SU(3) gauge system.

  • Received 16 January 1990

DOI:https://doi.org/10.1103/PhysRevD.42.620

©1990 American Physical Society

Authors & Affiliations

T. Hashimoto

  • Department of Physics, Heidelberg University, Philosophenweg 16, D-6900 Heidelberg, Federal Republic of Germany

S. Hioki

  • Department of Applied Mathematics, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka 560, Japan

K. Hirose

  • Teikoku Women's University, Moriguchi, Osaka 570, Japan

T. Kanki

  • Faculty of Science and Technology, Kinki University, Higashi-Osaka, Osaka 577, Japan

A. Kawazoe

  • Department of Applied Mathematics, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka 560, Japan

M. Masujima

  • Fundamental Research Laboratory, NEC Corporation, Miyamaeku, Kawasaki, Kanagawa 213, Japan

O. Miyamura and Y. Osada

  • Department of Applied Mathematics, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka 560, Japan

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Issue

Vol. 42, Iss. 2 — 15 July 1990

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