Phase-Space Quantization of Field Theory | Zendy

Cosmas Zachos | Zendy; Thomas Curtright | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Phase-Space Quantization of Field Theory

Author(s) -

Cosmas Zachos,

Thomas Curtright

Publication year - 1999

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.135.244

Subject(s) - phase space , wigner distribution function , optical phase space , gauge theory , quantization (signal processing) , physics , harmonic oscillator , scalar field , introduction to gauge theory , field (mathematics) , quantum field theory , quantum mechanics , simple harmonic motion , theoretical physics , classical mechanics , mathematics , quantum , coherent states , pure mathematics , squeezed coherent state , algorithm

In this lecture, a limited introduction of gauge invariance in phase-space isprovided, predicated on canonical transformations in quantum phase-space. Exactcharacteristic trajectories are also specified for the time-propagating Wignerphase-space distribution function: they are especially simple - indeed,classical - for the quantized simple harmonic oscillator. This serves as theunderpinning of the field theoretic Wigner functional formulation introduced.Scalar field theory is thus reformulated in terms of distributions in fieldphase-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 InstituteWorkshop "Gauge Theory and Integrable Models", 26-29 January, 1999.Comment: 14 pages, LaTeX, 1 eps figure, epsf.sty, ptptex.sty, ptp-text.sty Reported at the YITP Workshop "Gauge Theory and Integrable Models", 26-29 January, 1999. References added and graphics update

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research