Smooth Bosonization as a Quantum Canonical Transformation

Abstract

We consider a 1+1 dimensional field theory which contains both a complex fermion field and a real scalar field. We then construct a unitary operator that, by a similarity transformation, gives a continuum of equivalent theories which smoothly interpolate between the massive Thirring model and the sine-Gordon model. This provides an implementation of smooth bosonization proposed by Damgaard et al. as well as an example of a quantum canonical transformation for a quantum field theory.

20 pages, revtex

References in corpus (5)

• Target Space Duality in String Theory
• Bosonization as Duality
• Smooth Bosonization II: The Massive Case
• Quantum Canonical Transformations: Physical Equivalence of Quantum Theories
• Chiral bosonization as a Duality

Cited by in corpus (1)

• Topological defects as lagrangian correspondences