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IHEP 96 - 109
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| V.E. Rochev, P.A. Saponov | ||
| The four-fermion interaction in D=2,3,4: a nonperturbative treatment | ||
| Protvino, 1996.- p.16, refs.:8. | ||
A new nonperturbative approach is used to investigate the Gross-Neveu model of four fermion interaction in the space-time dimensions 2, 3 and 4, the number N of inner degrees of freedom being a fixed integer. The chiral symmetry spontaneous breaking is shown to exist in D=2,3 and the running coupling constant is calculated. The four dimensional theory turns out to be trivial
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