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

ar X iv : h ep - t h / 97 05 18 6 v 1 2 3 M ay 1 99 7 Bosonization in d > 2 dimensions ∗

I discuss in this talk a bosonization approach recently developed in refs.[1]-[7]. It leads to the (exact) bosonization rule for fermion currents in d ≥ 2 dimensions and also provides a systematic way of constructing the bosonic action in different regimes. Talk delivered at Trends in Theoretical Physics CERN Santiago de Compostela La Plata Meeting, La Plata, April-May 1997, to be published Inv...

3 v 1 2 0 Ju l 1 99 4 Two dimensional Quantum Chromodynamics as the limit of higher dimensional theories ∗

We define pure gauge QCD on an infinite strip of width L. Techniques similar to those used in finite T QCD allow us to relate 3D-observables to pure QCD 2 behaviors. The non triviality of the L → 0 limit is proven and the generalization to four dimensions described. The spectrum of the theory in the small width limit is analyzed and compared to that of the two dimensional theory.

ar X iv : h ep - t h / 97 07 23 0 v 1 2 8 Ju l 1 99 7 A Course on : “ Quantum Field

ar X iv : m at h / 99 07 13 7 v 1 [ m at h . L O ] 2 2 Ju l 1 99 9 STRONGLY MEAGER AND STRONG MEASURE ZERO SETS

In this paper we present two consistency results concerning the existence of large strong measure zero and strongly meager sets.

ar X iv : h ep - t h / 98 06 06 7 v 1 9 J un 1 99 8 Current Algebra in the Path Integral framework

In this letter we describe an approach to the current algebra based in the Path Integral formalism. We use this method for abelian and non-abelian quantum field theories in 1+1 and 2+1 dimensions and the correct expressions are obtained. Our results show the independence of the regularization of the current algebras. PACS number: 03.70.+k, 11.40.Ex Typeset using REVTEX E-mail: [email protected]...