Two phase transitions in chiral Gross-Neveu model in 2+ϵ dimensions at low N

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.