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Scaling laws and effective dimension in lattice SU(2) Yang-Mills theory with a compactified extra dimension

Shinji Ejiri

Shouji Fujimoto and Jisuke Kubo

  • Department of Physics, University of Wales Swansea, Swansea, SA2 8PP, United Kingdom

  • Institute for Theoretical Physics, Kanazawa University, Kanazawa 920-1192, Japan

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Phys. Rev. D 66, 036002 – Published 14 August, 2002

DOI: https://doi.org/10.1103/PhysRevD.66.036002

Abstract

Monte Carlo simulations are performed in a five-dimensional lattice SU(2) Yang-Mills theory with a compactified extra dimension, and scaling laws are studied. Our simulations indicate that, as the compactification radius R decreases, the confining phase spreads more and more to the weak coupling regime, and the effective dimension of the theory changes gradually from five to four. Our simulations also indicate that the limit a4→0 with R/a4 kept fixed exists in both the confining and deconfining phases if R/a4 is small enough, where a4 is the lattice spacing in the four-dimensional direction. We argue that there exists a maximal radius above which the color degrees of freedom are not confined. Comments on deconstructing extra dimensions are given.

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Phys. Rev. D 66, 036002– Published 14 August, 2002
  • Received 24 April 2002

© 2002 American Physical Society

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