Four-fermion theory is renormalizable in 2+1 dimensions

Rosenstein Baruch*, Brian J. Warr, Seon H. Park

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

166 Scopus citations


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/Nf expansion, and we find this theory a finite ultraviolet fixed point.

Original languageEnglish
Pages (from-to)1433-1436
Number of pages4
JournalPhysical Review Letters
Issue number13
StatePublished - 1 Jan 1989


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