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arXiv · hep-th/9809112

Two Phase Transitions in Chiral Gross-Neveu Model in $2+ ε$ Dimensions at Low N

H. Kleinert·E. Babaev
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Abstract

We show that the chiral Gross-Neveu model in $2+ ε$ dimensions has for a small number $N$ of fermions two phase transitions corresponding to pair formation and pair condensation. In the first transition, fermions and antifermions acquire spontaneously a mass and are bound to pairs which behave like a Bose liquid in a chirally symmetric state. In the second transition, the Bose liquid condenses into a coherent state which breaks chiral symmetry. This suggests the possibility that in particle physics, the generation of quark masses may also happen separately from the breakdown of chiral symmetry.

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H. Kleinert, E. Babaev. 1998-09-16. Two Phase Transitions in Chiral Gross-Neveu Model in $2+ ε$ Dimensions at Low N. https://doi.org/10.1016/s0370-2693(98)00983-6

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