Smooth bosonization as a quantum canonical transformation

Andrew J. Bordner

Research output: Contribution to journalArticle

1 Citation (Scopus)

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, Nielsen, and Sollacher as well as an example of a quantum canonical transformation for a quantum field theory.

Original languageEnglish (US)
Pages (from-to)7739-7748
Number of pages10
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume55
Issue number12
StatePublished - Jun 15 1997
Externally publishedYes

Fingerprint

Bosonization
Canonical Transformation
Unitary Operator
Similarity Transformation
Quantum Field Theory
Field Theory
Scalar Field
Fermions
Continuum
fermions
Interpolate
scalars
continuums
operators
Model

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Physics and Astronomy (miscellaneous)
  • Nuclear and High Energy Physics

Cite this

Smooth bosonization as a quantum canonical transformation. / Bordner, Andrew J.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 55, No. 12, 15.06.1997, p. 7739-7748.

Research output: Contribution to journalArticle

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