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Properties of P-vortices and monopole clusters in lattice SU(2) gauge theory

A. V. Kovalenko*, M. I. Polikarpov†, and S. N. Syritsyn‡

V. I. Zakharov§

  • Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, Moscow, 117259, Russia

  • Max-Planck Institut für Physik, Föhringer Ring 6, 80805, München, Germany

  • *Electronic address: kovalenko@itep.ru
  • †Electronic address: polykarp@itep.ru
  • ‡Electronic address: syritsyn@itep.ru
  • §Electronic address: xxz@mppmu.mpg.de
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Phys. Rev. D 71, 054511 – Published 31 March, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.054511

Abstract

We study the action and geometry of P-vortices, discriminating between the percolating and finite clusters. We also discuss the interrelation of the monopoles and P-vortices. To define P-vortices we use both the direct maximal center projection and indirect maximal center projection. We find, in particular, that the action density of the P-vortices in short clusters is substantially higher than in the percolating cluster. The surface of the percolating cluster appears random at short distances, with action density depending on the shape.

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Phys. Rev. D 71, 054511– Published 31 March, 2005
  • Received 2 March 2004

© 2005 American Physical Society

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