Four loop renormalization of the Gross-Neveu model
نویسندگان
چکیده
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...
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The Renormalization Group flow equations obtained by means of a proper time regulator are used to analyze the restoration of the discrete chiral symmetry at non-zero density and temperature in the Gross-Neveu model in d = 2 + 1 dimensions. The effects of the wave function renormalization of the auxiliary scalar field on the transition have been studied. The analysis is performed for a number of...
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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]
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In 2+1 dimensions, for low momenta, using dimensional renormalization we study the effect of a Chern-Simons field on the perturbative expansion of fermions self interacting through a Gross Neveu coupling. For the case of just one fermion field, we verify that the dimension of operators of canonical dimension lower than three decreases as a function of the Chern-Simons coupling.
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2016
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.94.125028