Nambu–Jona-Lasinio model with Wilson fermions

Spontaneous Breaking of Flavor Symmetry and Parity in the Nambu-Jona-Lasinio Model with Wilson Fermions

We study the lattice Nambu-Jona-Lasinio model with two flavors of Wilson fermions in the large N limit, where N is the number of ‘colors’. For large values of the fourfermion coupling we find a phase in which both, flavor symmetry and parity, are spontaneously broken. In accordance with general expectations there are three massless pions on the phase boundary, but only two of them remain massle...

Chiral Condensate with Wilson Fermions

It is well known that lattice gauge theories with Wilson fermions present difficulties when one tries to evaluate chiral condensates because of the explicit chiral symmetry breaking [l]. In general the chiral condensate has a perturbative part which needs to be subtracted in order to evaluate the continuum renormalization group invariant contribution. Since the perturbative part is given by a d...

Hadron spectrum with Wilson fermions.

We present results of a high statistics study of the quenched spectrum using Wilson fermions at β = 6.0 on 32 × 64 lattices. We calculate the masses of mesons and baryons composed of both degenerate and non-degenerate quarks. Using non-degenerate quark combinations allows us to study baryon mass splittings in detail. We find significant deviations from the lowest order chiral expansion, deviati...

Critical behavior of the Schwinger model with Wilson fermions.

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 po...