English

Smooth Bosonization as a Quantum Canonical Transformation

High Energy Physics - Theory 2009-10-30 v1

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.

Keywords

Cite

@article{arxiv.hep-th/9702193,
  title  = {Smooth Bosonization as a Quantum Canonical Transformation},
  author = {Andrew J. Bordner},
  journal= {arXiv preprint arXiv:hep-th/9702193},
  year   = {2009}
}

Comments

20 pages, revtex

R2 v1 2026-07-22T16:03:50.579Z