Variational Study of Vacuum Wave Function for Lattice Gauge Theory in 2+1 Dimension

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概要

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• The vacuum wave function for SU (2) lattice gauge theory (without quarks) in 2+1 dimensions (two discrete space and one continuous time) is studied using the Rayleigh-Ritz variational method. Trial wave function for the vacuum contains loop variables enclosing up to two plaquettes, whose coefficients we take as variational parameters. It is found that the coefficients of two-plaquettes loop variables are small compared with that of one-plaquette loop variables not only in the strong-coupling regime but also in the weak coupling region. This fact means that the dominant configuration of the vacuum is mutually independent magnetic fluctuations in each plaquette and enables us to perform a perturbative expansion with respect to these small coefficients. The string tension and the wave function of the first excited state are investigated using the vacuum wave function obtained, and the scaling behaviours of the string tension and the mass gap are much improved by the introduction of two-plaquette loop variables compared with the case of the vacuum wave function containing only one-plaquette loop variables.

• 1983-07-25

著者

• Fujiwara T

  Max-planck-institut Fur Physik Werner-heisenberg-institut:department Of Mathematical Sciences Ibarak

• ARISUE Hiroaki

  Department of Physics, Kyoto University

• Arisue Hiroaki

  Department Of Physics Kyoto University

• Kato Mitsuhiro

  Department Of Pediatrics Yamagata University Hospital

• Fujiwara Toshiaki

  Research Institute For Fundamental Physics Kyoto University

• Kato Mitsuhiro

  Department Of Applied Chemistry Aichi Institute Of Technology

• FUJIWARA Takanori

  Max-Planck-Institut fur Physik, Werner-Heisenberg-Institut:Department of Mathematical Sciences, Ibaraki University

• KATO Mitsuhiro

  Department of Physics, Kyoto University

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