HEAVISIDE TRANSFORM OF THE EFFECTIVE POTENTIAL IN THE GROSS-NEVEU MODEL
نویسندگان
چکیده
منابع مشابه
Heaviside transform of the effective potential in the Gross-Neveu model
A fresh study on the perturbative expansion is presented with the help of Heaviside transform with respect to the mass. We apply Heaviside transform to the effective potential in the Gross-Neveu model and carry out perturbative approximation of the massless potential by dealing with the resulting Heaviside function. We find that accurate values of the dynamical mass can be obtained from the Hea...
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Unconventional way of handling the perturbative series is presented with the help of Heaviside transformation with respect to the mass. We apply Heaviside transform to the e ective potential in the massive Gross-Neveu model and carry out perturbative approximation of the massless potential by dealing with the resulting Heaviside function. We nd that accurate values of the dynamical mass can be ...
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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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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.
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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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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 1996
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732396002782