Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges

M. N. Chernodub, Katsuya Ishiguro, Yoshihiro Mori, Yoshifumi Nakamura, M. I. Polikarpov, Toru Sekido, Tsuneo Suzuki, and V. I. Zakharov
Phys. Rev. D 72, 074505 – Published 21 October 2005

Abstract

The vacuum type of SU(2) gluodynamics is studied using Monte Carlo simulations in maximally Abelian (MA) gauge and in Landau (LA) gauge, where the dual Meissner effect is observed to work. The dual Meissner effect is characterized by the coherence and the penetration lengths. Correlations between Wilson loops and electric fields are evaluated in order to measure the penetration length in both gauges. The coherence length is shown to be fixed in the MA gauge from measurements of the monopole density around the static quark-antiquark pair. It is also shown numerically that a dimension 2 gluon operator A+A(s) and the monopole density has a strong correlation as suggested theoretically. Such a correlation is observed also between the monopole density and A2(s)=A+A(s)+A3A3(s) condensate if the remaining U(1) gauge degree of freedom is fixed to U(1) Landau gauge (U1LA). The coherence length is determined numerically also from correlations between Wilson loops and A+A(s) and A2(s) in MA+U1LA gauge. Assuming that the same physics works in the LA gauge, we determine the coherence length from correlations between Wilson loops and A2(s). Penetration lengths and coherence lengths in the two gauges are almost the same. The vacuum type of the confinement phase in both gauges is near to the border between the type 1 and the type 2 dual superconductors.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
14 More
  • Received 27 August 2005

DOI:https://doi.org/10.1103/PhysRevD.72.074505

©2005 American Physical Society

Authors & Affiliations

M. N. Chernodub1, Katsuya Ishiguro2,3, Yoshihiro Mori2,3, Yoshifumi Nakamura2,3, M. I. Polikarpov1, Toru Sekido2,3, Tsuneo Suzuki2,3, and V. I. Zakharov4

  • 1Institute of Theoretical and Experimental Physics ITEP, 117259 Moscow, Russia
  • 2Institute for Theoretical Physics, Kanazawa University, Kanazawa 920-1192, Japan
  • 3RIKEN, Radiation Laboratory, Wako 351-0158, Japan
  • 4Max-Planck Institut für Physik, Föhringer Ring 6, 80805, München, Germany

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 72, Iss. 7 — 1 October 2005

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×