### Abstract

In this lecture, a limited introduction of gauge invariance in phase-space is provided, predicated on canonical transformations in quantum phase-space. Exact characteristic trajectories are also specified for the time-propagating Wigner phase-space distribution function: they are especially simple - indeed, classical - for the quantized simple harmonic oscillator. This serves as the underpinning of the field theoretic Wigner functional formulation introduced. Scalar field theory is thus reformulated in terms of distributions in field phase-space. This is a pedagogical selection from work published in Refs. 1) and 2).

Original language | English (US) |
---|---|

Pages (from-to) | 244-258 |

Number of pages | 15 |

Journal | Progress of Theoretical Physics Supplement |

Issue number | 135 |

State | Published - 1999 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Progress of Theoretical Physics Supplement*, (135), 244-258.

**Phase-space quantization of field theory.** / Zachos, Cosmas; Curtright, Thomas.

Research output: Contribution to journal › Article

*Progress of Theoretical Physics Supplement*, no. 135, pp. 244-258.

}

TY - JOUR

T1 - Phase-space quantization of field theory

AU - Zachos, Cosmas

AU - Curtright, Thomas

PY - 1999

Y1 - 1999

N2 - In this lecture, a limited introduction of gauge invariance in phase-space is provided, predicated on canonical transformations in quantum phase-space. Exact characteristic trajectories are also specified for the time-propagating Wigner phase-space distribution function: they are especially simple - indeed, classical - for the quantized simple harmonic oscillator. This serves as the underpinning of the field theoretic Wigner functional formulation introduced. Scalar field theory is thus reformulated in terms of distributions in field phase-space. This is a pedagogical selection from work published in Refs. 1) and 2).

AB - In this lecture, a limited introduction of gauge invariance in phase-space is provided, predicated on canonical transformations in quantum phase-space. Exact characteristic trajectories are also specified for the time-propagating Wigner phase-space distribution function: they are especially simple - indeed, classical - for the quantized simple harmonic oscillator. This serves as the underpinning of the field theoretic Wigner functional formulation introduced. Scalar field theory is thus reformulated in terms of distributions in field phase-space. This is a pedagogical selection from work published in Refs. 1) and 2).

UR - http://www.scopus.com/inward/record.url?scp=0033235629&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033235629&partnerID=8YFLogxK

M3 - Article

SP - 244

EP - 258

JO - Progress of Theoretical Physics Supplement

JF - Progress of Theoretical Physics Supplement

SN - 0375-9687

IS - 135

ER -