Chiral symmetry restoration of QCD and the Gross-Neveu model

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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LATTICE98(hightemp)

Scientific paper

10.1016/S0920-5632(99)85105-6

Two flavour massless QCD has a second order chiral transition which has been argued to belong to the universality class of the $3d$ O(4) spin model. The arguments have been questioned recently, and the transition was claimed to be mean field behaved. We discuss this issue at the example of the $3d$ Gross-Neveu model. A solution is obtained by applying various well established analytical methods.

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