منابع مشابه
Gross – Neveu Model
for i = 1, · · · , N . Note that the sum over i is taken inside the parenthes before taking the square, which is not very clear in the way Peskin–Schroeder writes the Lagrangian density. I’ve put the subscript g0 to indicate that it is the bare coupling. This model describes massless spin 1/2 fermions in one spatial dimension with an attractive short-range potential. What the model does is that...
متن کاملUniversality in the Gross - Neveu model
We consider universal finite size effects in the large-N limit of the continuum Gross-Neveu model as well as in its discretized versions with Wilson and with staggered fermions. After extrapolation to zero lattice spacing the lattice results are compared to the continuum values.
متن کاملBosonization and the lattice Gross-Neveu model
We consider a lattice version of the bosonized Gross-Neveu model. It is explicitely chiral symmetric and its numerical simulation does not involve any anticommuting field. We study its non trivial 1/N expansion up to the next-to-leading term comparing the results with explicit numerical simulations. (∗) [email protected], [email protected]
متن کاملGauged Gross–Neveu model with overlap fermions∗
Institute of Physics, University of Tokyo, Komaba, Tokyo, 153-8902 Japan February 29, 2008 We investigate chiral properties of the overlap lattice fermion by using solvable model in two dimensions, the gauged Gross-Neveu model. In this model, the chiral symmetry is spontaneously broken in the presence of small but finite fermion mass. We calculate the quasi-Nambu-Goldstone(NG) boson mass as a f...
متن کاملThe Critical Exponents Of The Matrix Valued Gross-Neveu Model
We study the large N limit of the matrix valued Gross-Neveu model in 2 < d < 4 dimensions. The method employed is a combination of the approximate recursion formula of Polyakov and Wilson with the solution to the zero dimensional large N counting problem of Makeenko and Zarembo. The model is found to have a phase transition at a finite value for the critical temperature and the critical exponen...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1986
ISSN: 0556-2821
DOI: 10.1103/physrevd.34.3111