Green's Functions in the Color Field of a Large Nucleus

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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TPI-MINN-94-7/T, NUC-MINN-94-2/T,UMN-HEP-1242/T, LaTex, 21 pages

Scientific paper

10.1103/PhysRevD.50.2225

We compute the Green's functions for scalars, fermions and vectors in the color field associated with the infinite momentum frame wavefunction of a large nucleus. Expectation values of this wavefunction can be computed by integrating over random orientations of the valence quark charge density. This relates the Green's functions to correlation functions of a two dimensional, ultraviolet finite, field theory. We show how one can compute the sea quark distribution functions, and explictly compute them in the kinematic range of transverse momenta, $\alpha_s^2 \mu^2 << k_t^2 << \mu^2$, where $\mu^2$ is the average color charge squared per unit area. When $m_{quark}^2 << \mu^2 \sim A^{1/3}$, the sea quark contribution to the infinite momentum frame wave function saturates at a value that is the same as that for massless sea quarks.

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