The Role of Conformal Symmetry in Abelian Bosonization of the Massive Thirring Model

1998/10/15 by Aleksandar Bogojevic, Bogojevic, Aleksandar, Branislav Sazdovic +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9810120

5 pages, Latex 2e, Lectures given at 11th Yugoslav Symposium on Nuclear and Particle Physics, Studenica, September 1998

arxiv created 1998/10/15 · arxiv updated 2009/11/30

Abstract

We show equivalence between the massive Thirring model and the sine-Gordon theory by gauge fixing a wider gauge invariant theory in two different ways. The exact derivation of the equivalence hinges on the existence of an underlying conformal symmetry. Previous derivations were all perturbative in mass (althought to all orders).

Related

• Abelian Bosonization, the Wess-Zumino Functional and Conformal Symmetry
• Dynamical breaking of conformal symmetry in the massless Thirring model
• Conformal non-Abelian Thirring models
• The Equivalence Theorem at work: manifestly gauge-invariant Abelian Higgs model physics
• Path-Integral Bosonization of Massive Gauged Thirring Model