Four-fermion theory is renormalizable in 2+1 dimensions
- 27 March 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 62 (13) , 1433-1436
- https://doi.org/10.1103/physrevlett.62.1433
Abstract
The four-fermion interaction in 2+1 dimensions is nonrenormalizable in weak coupling perturbation theory. We show that this model is in fact renormalizable order by order in the 1/ expansion, and we find this theory a finite ultraviolet fixed point.
Keywords
This publication has 9 references indexed in Scilit:
- Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory modelsPublished by Elsevier ,2004
- The renormalization group and the ϵ expansionPublished by Elsevier ,2002
- Renormalisation of gauge theories using effective Lagrangians, IAnnals of Physics, 1988
- New phase of quantum electrodynamics: A nonperturbative fixed point in four dimensionsPhysical Review Letters, 1988
- Aspects of SymmetryPublished by Cambridge University Press (CUP) ,1985
- Renormalization and effective lagrangiansNuclear Physics B, 1984
- expansion and the theory of composite particlesPhysical Review D, 1980
- The theory of non-renormalizable interactionsNuclear Physics B, 1975
- Dynamical symmetry breaking in asymptotically free field theoriesPhysical Review D, 1974