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Phys. Rev. D 68, 085010 (2003) [12 pages]

Transport equation for the photon Wigner operator in noncommutative QED

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F. T. Brandt
Instituto de Física, Universidade de São Paulo, São Paulo, São Paulo 05315-970, Brazil

Ashok Das
Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627-0171, USA

J. Frenkel
Instituto de Física, Universidade de São Paulo, São Paulo, São Paulo 05315-970, Brazil

Received 4 July 2003; published 23 October 2003

We derive, in noncommutative QED, a gauge covariant quantum equation of motion for the photon Wigner operator. In the classical approximation, this reduces to a simple transport equation which describes the hard thermal effects in this theory. As an example of the effectiveness of this method we show that, to leading order, this equation generates in a direct way the Green amplitudes calculated perturbatively in quantum field theory at high temperature.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.085010
DOI:
10.1103/PhysRevD.68.085010
PACS:
11.15.-q, 11.10.Wx