Phase-space quantization of field theory.

Conference · Tue Apr 20 00:00:00 EDT 1999

OSTI ID:11761

Curtright, T; Zachos, C

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 and reported at the Yukawa Institute Workshop ''Gauge Theory and Integrable Models'', 26-29 January, 1999.

• Research Organization: Argonne National Lab., IL (US)
• Sponsoring Organization: US Department of Energy (US)
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 11761
• Report Number(s): ANL-HEP-CP-99-06; TRN: US0102107
• Resource Relation: Conference: Workshop on Gauge Theory and Integrable Models, Kyoto (JP), 01/26/1999--01/29/1999; Other Information: PBD: 20 Apr 1999
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CANONICAL TRANSFORMATIONS
WIGNER DISTRIBUTION
DISTRIBUTION FUNCTIONS
GAUGE INVARIANCE
HARMONIC OSCILLATORS
PHASE SPACE
QUANTIZATION
SCALAR FIELDS