Phase-space quantization of field theory

Cosmas Zachos, Thomas Curtright

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


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 languageEnglish (US)
Pages (from-to)244-258
Number of pages15
JournalProgress of Theoretical Physics Supplement
Issue number135
StatePublished - 1999

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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