Partons in Phase Space

Abstract

Within QED, we examine several issues related to constructing a parton-model-based QCD transport theory. We rewrite the QED analog of the parton model, the Weizsaecker-Williams Approximation, entirely in terms of phase-space quantities and we study the phase-space photon and electron densities created by a classical point charge. We find that the densities take a distinctive ``source-propagator'' form. This form does not arise in a conventional derivation of the semiclassical transport equations because of the overuse of the gradient approximation. We do not apply the gradient approximation and so derive the phase-space analog of the Generalized Fluctuation-Dissipation Theorem. Together, this theorem and the expression for the phase-space particle self-energies give a set of coupled phase-space evolution equations. We illustrate how these evolution equations can be used perturbatively or to derive semiclassical transport equations. Our work relies on phase-space propagators and sources, so we describe them in detail when calculating the photon and electron phase-space densities. We use these tools to discuss the shape of a nucleon's parton cloud.

65 pages, including 19 figures and 2 tables. Uses aps.sty, eqsecnum.sty, amssymb.sty, revtex.sty and graphicx.sty. Submitted to Phys. Rev. D. Added report no. and corrected typo on p. 9

References in corpus (1)

• Derivation of transport equations for a strongly interacting Lagrangian in powers of $\hslash$ and $1/N_c$

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