### 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 language | English (US) |
---|---|

Pages (from-to) | 7739-7748 |

Number of pages | 10 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 55 |

Issue number | 12 |

State | Published - Jun 15 1997 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*55*(12), 7739-7748.

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

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 55, no. 12, pp. 7739-7748.

}

TY - JOUR

T1 - Smooth bosonization as a quantum canonical transformation

AU - Bordner, Andrew J.

PY - 1997/6/15

Y1 - 1997/6/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0006313341&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0006313341&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0006313341

VL - 55

SP - 7739

EP - 7748

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 12

ER -