# The Weakly Coupled Gross-Neveu Model with Wilson Fermions

**Source**: https://www.maths.tcd.ie/report_series/abstracts/tcdm0106.html
**Parent**: https://www.maths.tcd.ie/research/papers/

**The Weakly Coupled Gross-Neveu Model with Wilson Fermions**

The nature of the phase transition in the lattice
Gross-Neveu model with Wilson fermions is investigated
using a new analytical technique.
This involves a new type of weak coupling expansion
which focuses on the partition function zeroes of the model.
Its application to the single flavour
Gross-Neveu model yields a phase diagram
whose structure is
consistent with that predicted from a saddle point approach.
The existence of an Aoki phase is confirmed
and its width in the weakly coupled
region is determined.
Parity, rather than chiral symmetry breaking
naturally emerges as the
driving mechanism for the phase transition.