Non trivial critical exponents for finite temperature chiral transitions at fixed total fermion number

Details Non trivial critical exponents for finite temperature chiral transitions at fixed total fermion number Non trivial critical exponents for finite temperature chiral transitions at fixed total fermion number

1998-02-06

arxiv.org/abs/hep-th/9802040v4

Phys.Lett. B441 (1998) 339

Physics

High Energy Physics

High Energy Physics - Theory

14 pages Latex, no figures, final version to be published in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(98)01189-7

We analyze the finite temperature chiral restoration transition of the $(D=d+1)$-dimensional Gross-Neveu model for the case of a large number of flavors and fixed total fermion number. This leads to the study of the model with a nonzero imaginary chemical potential. In this formulation of the theory, we have obtained that, in the transition region, the model is described by a chiral conformal field theory where the concepts of dimensional reduction and universality do apply due to a transmutation of statistics which makes fermions act as if they were bosons, having zero energy. This result should be generic for theories with dynamical symmetry breaking, such as Quantum Chromodynamics.

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