Universality in fermionic field theories at finite temperature

Physics – High Energy Physics – High Energy Physics - Phenomenology

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5 pages, Contribution to Conference on Strong and Electroweak Matter (SEWM2002), Heidelberg, Germany, 2-5 Oct. 2002

Scientific paper

We discuss the critical properties of the three-dimensional NJL model at nonzero temperature. We show that the Z(2)-symmetric model undergoes a second order phase transition with 2d Ising exponents and its critical region is suppressed by a factor 1/N^{-0.5}. We also provide numerical evidence that the U(1)-symmetric model undergoes a BKT transition in accordance with the dimensional reduction scenario.

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