Decoupling Transformations in Path Integral Bosonization

Details Decoupling Transformations in Path Integral Bosonization Decoupling Transformations in Path Integral Bosonization

1998-05-20

arxiv.org/abs/hep-th/9805130v1

Nucl.Phys. B535 (1998) 483-498

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, Latex

Scientific paper

10.1016/S0550-3213(98)00629-4

We construct transformations that decouple fermionic fields in interaction with a gauge field, in the path integral representation of the generating functional. Those transformations express the original fermionic fields in terms of non-interacting ones, through non-local functionals depending on the gauge field. This procedure, holding true in any number of spacetime dimensions both in the Abelian and non-Abelian cases, is then applied to the path integral bosonization of the Thirring model in 3 dimensions. Knowledge of the decoupling transformations allows us, contrarily to previous bosonizations, to obtain the bosonization with an explicit expression of the fermion fields in terms of bosonic ones and free fermionic fields. We also explain the relation between our technique, in the two dimensional case, and the usual decoupling in 2 dimensions.

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