Collective Variables of Fermions and Bosonization

Details Collective Variables of Fermions and Bosonization Collective Variables of Fermions and Bosonization

1996-07-05

arxiv.org/abs/hep-th/9607047v2

Phys.Lett. B387 (1996) 118-124

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, plain tex, added new preprint number

Scientific paper

10.1016/0370-2693(96)01009-X

We first present a general method for extracting collective variables out of non-relativistic fermions by extending the gauge theory of collective coordinates to fermionic systems. We then apply the method to a system of non-interacting flavored fermions confined in a one-dimensional flavor-independent potential. In the limit of a large number of particles we obtain a Lagrangian with the Wess-Zumino-Witten term, which is the well-known Lagrangian describing the non-Abelian bosonization of chiral fermions on a circle. The result is universal and does not depend on the details of the confining potential.

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