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Chiral symmetry restoration in anisotropic QED{sub 3}

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
 [1];  [2]
  1. Department of Physics, Loughborough University, Loughborough, Leicestershire LE11 3TU (United Kingdom)
  2. Department of Physics, Swansea University, Singleton Park, Swansea SA2 8PP (United Kingdom)

We present results from a Monte Carlo simulation of noncompact lattice QED in three dimensions in which an explicit anisotropy {kappa} between x and y hopping terms has been introduced into the action. Using a parameter set corresponding to broken chiral symmetry in the isotropic limit {kappa}=1, we study the chiral condensate on 16{sup 3}, 20{sup 3}, and 24{sup 3} lattices as {kappa} is varied, and fit the data to an equation of state which incorporates anisotropic volume corrections. The value {kappa}{sub c} at which chiral symmetry is apparently restored is strongly volume dependent, suggesting that the transition may be a crossover rather than a true phase transition. In addition we present results on 16{sup 3} lattices for the scalar meson propagator, and for the Landau gauge-fixed fermion propagator. The scalar mass approaches the pion mass at large {kappa}, consistent with chiral symmetry restoration, but the fermion remains massive at all values of {kappa} studied, suggesting that strong infrared fluctuations persist into the chirally symmetric regime. Implications for models of high-T{sub c} superconductivity based on anisotropic QED{sub 3} are discussed.

OSTI ID:
20957792
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 13 Vol. 75; ISSN 1098-0121
Country of Publication:
United States
Language:
English

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