Factored coset models: a unifying approach to different bosonization schemes

We discuss various bosonization schemes from a path integral perspective. Our analysis shows that the existence of different bosonization schemes, such as abelian bosonization of non-abelian models and non-abelian bosonization of fermions with colour and flavour indices, can be understood as differe...

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Bibliographic Details
Published in:Nuclear physics. B 1998-09, Vol.527 (3), p.463-478
Main Authors: Theron, A.N., Scholtz, F.G., Geyer, H.B.
Format: Article
Language:English
Subjects:
Abelian bosonization
Non-abelian bosonization
Path integral
Thirring model
Wess-Zumino-Witten model
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Summary:We discuss various bosonization schemes from a path integral perspective. Our analysis shows that the existence of different bosonization schemes, such as abelian bosonization of non-abelian models and non-abelian bosonization of fermions with colour and flavour indices, can be understood as different ways of factoring out a dynamically trivial coset which contains the fermions. From this perspective follows the importance of the coset model in ensuring the correct superselection rules on the bosonic level.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(98)00311-3