Bosonization and Duality in Condensed Matter Systems

Abstract

We show that abelian bosonization of 1+1 dimensional fermion systems can be interpreted as duality transformation and, as a conseguence, it can be generalized to arbitrary dimensions in terms of gauge forms of rank $d-1$, where $d$ is the dimension of the space. This permit to treat condensed matter systems in $d>1$ as gauge theories. Furthermore we show that in the ``scaling" limit the bosonized action is quadratic in a wide class of condensed matter systems. (Talk given at ``Common trends in Condensed Matter and High Energy Physics", September 3--10, 1995 -- Chia).

TeX, 14 pg

References in corpus (1)

• An Introduction to T-Duality in String Theory

Cited by in corpus (4)

• Dimensional reduction of U(1)\times SU(2) Chern-Simons bosonization: application to the t-J model
• Three dimensional fermionic determinants, Chern-Simons and nonlinear field redefinitions
• Fractional exclusion and braid statistics in one dimension: a study via dimensional reduction of Chern-Simons theory
• Fractional statistics of charge carriers in the one- and two-dimensional t-J model. A hint for the cuprates?