Bosonization in Arbitrary Genus

Preprint Sb/f/98-xxy Bf Models, Duality and Bosonization in Higher Genus Surfaces

We consider two dimensional field theories of the BF type written in terms of aglobally defined 1-form A and a multivalued scalar field B with a lagrangian function given by L = dB∧A. In order to have the model globally defined on compact Riemann surfaces of arbitrary genus one has to provide certain conditions on the periods of dB. We analyze the generating functional of these models coupled t...

Extended dualization: A method for the bosonization of anomalous fermion systems in arbitrary dimension.

The technique of extended dualization developed in this paper is used to bosonize quantized fermion systems in arbitrary dimension D in the low energy regime. In its original (minimal) form, dualization is restricted to models wherein it is possible to define a dynamical quantized conserved charge. We generalize the usual dualization prescription to include systems with dynamical non–conserved ...

0 v 1 1 0 Ju l 1 99 7 Different Approaches for Bosonization in Higher Dimensions

We describe two distinct approaches for bosonization in higher dimensions ; one is based on a direct comparison of current correlation functions while the other relies on a Master lagrangean formalism. These are used to bosonize the Massive Thirring Model in three and four dimensions in the weak coupling regime but with an arbitrary fermion mass. In both approaches the explicit bosonized lagran...

Bosonization of Interacting Fermions in Arbitrary Dimensions

”quasi-particles” in bosonization theory of interacting fermion liquids at arbitrary dimensions

Within bosonization theory we introduce in this paper a new definition of ”quasi-particles” for interacting fermions at arbitrary space dimenions. In dimensions higher than one we show that the constructed quasi-particles are consistent with quasi-particle descriptions in Landau Fermi liquid theory whereas in one-dimension the ”quasi-particles” are non-perturbative objects (spinons and holons) ...