Phase-space Quantization of Field Theory

Details Phase-space Quantization of Field Theory Phase-space Quantization of Field Theory

1999-03-30

arxiv.org/abs/hep-th/9903254v2

Prog.Theor.Phys.Suppl.135:244-258,1999

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX, 1 eps figure, epsf.sty, ptptex.sty, ptp-text.sty Reported at the YITP Workshop "Gauge Theory and Integrable M

Scientific paper

10.1143/PTPS.135.244

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 J Phys A32 (1999) 771 and Phys Rev D58 (1998) 025002, reported at the Yukawa Institute Workshop "Gauge Theory and Integrable Models", 26-29 January, 1999.

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