出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：The (discrete) Gross-Neveu model is studied in a lattice realization with an N-component Majorana
Wilson fermion field. It has an internal O(N) symmetry in addition to the euclidean lattice
symmetries. The discrete chiral symmetry for vanishing mass is expected to emerge in the continuum
limit only. The lattice theory is first recast in terms of two-valued bosonic link variables
(dimers). In this representation, which coincides with the loop representation obtained earlier
by Gattringer with the help of eight-vertex-models, the Boltzmann weight is essentially positive.
While standard local updates are possible in this form we construct a further exact transformation
where we generate dimer configurations as Peierls contours of an Ising model with a local action
residing on plaquettes. For this model a Swendsen-Wang type cluster algorithm is constructed. At
vanishing coupling it is numerically demonstrated to almost completely eliminate critical slowing
down. Although further tests are required, an avenue to numerical studies of the Gross-Neveu
model with unprecedented precision seems open.
