Perturbative Gross-Neveu model coupled to a Chern-Simons field: A renormalization group study - art. no. 045002

Authors
Alves, VS Gomes, M Pinheiro, SVL da Silva, AJ
Citation
Vs. Alves et al., Perturbative Gross-Neveu model coupled to a Chern-Simons field: A renormalization group study - art. no. 045002, PHYS REV D, 5904(4), 1999, pp. 5002
Citations number
27
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
05562821 → ACNP
Volume
5904
Issue
4
Year of publication
1999
Database
ISI
SICI code
0556-2821(19990215)5904:4<5002:PGMCTA>2.0.ZU;2-I
Abstract
In 2+1 dimensions, for low momenta, using dimensional renormalization we st udy the effect of a Chern-Simons field on the perturbative expansion of fer mions 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 coup ling. [S0556-2821(98)07224-5].