Gross-Neveu model as a laboratory for fermion discretization

Details Gross-Neveu model as a laboratory for fermion discretization Gross-Neveu model as a laboratory for fermion discretization

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006slft.confe.218w&link_type=abstract

Proceedings of the XXIVth International Symposium on Lattice Field Theory. July 23-28, 2006, Tucson, Arizona., p.218.1

Computer Science

Scientific paper

We introduce a finite volume renormalization scheme for the N-Majorana-component O(N) in- variant Gross-Neveu model. Universal observables are defined that are accessible to precise nu- merical simulation in various discretizations and allow for an extrapolation to the continuum limit. Here first numerical results with Wilson fermions are reported. For N = 2 they reproduce exact finite volume continuum results in the massless Thirring model. Our N = 8 data are ready for comparison for instance with staggered results in the future.

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