Large N planar or bare vertex approximation and critical behavior of a SU(N) invariant four-fermion model in 2+1 dimensions
| dc.creator | Reenders, Manuel | |
| dc.date | 2001-09-03 | |
| dc.date | 2002-09-30 | |
| dc.date.accessioned | 2026-07-07T04:12:19Z | |
| dc.date.available | 2026-07-07T04:12:19Z | |
| dc.description | A four-fermion model in 2+1 dimensions describing N Dirac fermions interacting via SU(N) invariant N^2-1 four-fermion interactions is solved in the leading order of the 1/N expansion. The 1/N expansion corresponds to 't Hoofts topological 1/N expansion in which planar Feynman diagrams prevail. For the symmetric phase of this model, it is argued that the planar expansion corresponds to the ladder approximation. A truncated set of Schwinger-Dyson equations for the fermion propagator and composite boson propagator representing the relevant planar diagrams is solved analytically. The critical four-fermion coupling and various critical exponents are determined as functions of N. The universality class of this model turns out to be quite distinct from the Gross-Neveu model in the large N limit. | |
| dc.description | 19 pp. 7 figs (REVTeX). Revised version with extended discussion and additional refs | |
| dc.identifier | https://arxiv.org/abs/hep-th/0109016 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0109016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50866 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Large N planar or bare vertex approximation and critical behavior of a SU(N) invariant four-fermion model in 2+1 dimensions | |
| dc.type | text |