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arxiv: hep-ph/0301085 · v3 · pith:ZNCIB7W2new · submitted 2003-01-13 · ✦ hep-ph · hep-lat

Universality in fermionic field theories at finite temperature

classification ✦ hep-ph hep-lat
keywords modelcriticalsymmetrictemperaturetransitionundergoesaccordancedimensional
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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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