{ital O}(1/{ital N}{sub {ital f}}) corrections to the Thirring model in 2{lt}{ital d}{lt}4
- Department of Physics, University of Wales, Swansea, Singleton Park, Swansea SA2 8PP (United Kingdom)
The Thirring model, that is, a relativistic field theory of fermions with a contact interaction between vector currents, is studied for dimensionalities 2{lt}{ital d}{lt}4 using the 1/{ital N}{sub {ital f}} expansion, where {ital N}{sub {ital f}} is the number of fermion species. The model is found to have no ultraviolet divergences at leading order provided a regularization respecting current conservation is used. Explicit {ital O}(1/{ital N}{sub {ital f}}) corrections are computed, and the model is shown to be renormalizable at this order in the massless limit; renormalizability appears to hold to all orders due to a special case of Weinberg`s theorem. This implies that there is a universal amplitude for four particle scattering in the asymptotic regime. Comparisons are made with both the Gross-Neveu model and QED.
- OSTI ID:
- 44807
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 10 Vol. 51; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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