The Wess-Zumino action in two dimensions and non-abelian bosonization

Using recent results on fermionic determinants in two-dimensional non-abelian background fields we give a very simple path integral demonstration of the equivalence between the free Fermi theory in this background and a corresponding chiral Bose theory with Wess-Zumino action. The result is compared...

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Bibliographic Details
Published in:Physics letters. B 1984-08, Vol.144 (3), p.245-249
Main Authors: Di Vecchia, P., Durhuus, B., Petersen, J.L.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Theory of quantized fields
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Summary:Using recent results on fermionic determinants in two-dimensional non-abelian background fields we give a very simple path integral demonstration of the equivalence between the free Fermi theory in this background and a corresponding chiral Bose theory with Wess-Zumino action. The result is compared to previously proposed bosonization rules and certain limitations to the general validity of these are found.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(84)91813-6