Abelian and non-Abelian bosonization in the path-integral framework

Carlos Naón, María Cecilia von Reichenbach, Marta L. Trobo

Edward Witten

Luiz C. L. Botelho, J C de Mello

The authors analyse the non-Abelian Aharonov-Bohm effect in the Feynman path integral framework generalised to pseudo-classical mechanics.

Theron, A N, Scholtz, F G, Geyer, H B

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.

Edward Witten

Alexei M. Tsvelik