THE FOUR-FERMION INTERACTION IN D = 2, 3, 4: A NONPERTURBATIVE TREATMENT
| Autor: | P. A. Saponov, V. E. Rochev |
|---|---|
| Rok vydání: | 1998 |
| Předmět: |
High Energy Physics - Theory
Physics Coupling constant Nuclear and High Energy Physics High Energy Physics::Lattice Spontaneous symmetry breaking Degrees of freedom FOS: Physical sciences Astronomy and Astrophysics Fermion Atomic and Molecular Physics and Optics High Energy Physics - Theory (hep-th) Mathematical physics Integer (computer science) |
| Zdroj: | International Journal of Modern Physics A. 13:3649-3665 |
| ISSN: | 1793-656X 0217-751X |
| DOI: | 10.1142/s0217751x98001712 |
| Popis: | 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 spontaneous symmetry breaking is shown to exist in $D=2,3$ and the running coupling constant is calculated. The four dimensional theory seems to be trivial. a minor correction: one more acknowledgement is added. Latex 2.09 file, 15 pages, no figures, accepted for publication to Int.J.Mod.Phys.A |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|