English

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

High Energy Physics - Phenomenology 2011-07-19 v1 Nuclear Theory

Abstract

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, αs2μ2<<kt2<<μ2\alpha_s^2 \mu^2 << k_t^2 << \mu^2, where μ2\mu^2 is the average color charge squared per unit area. When mquark2<<μ2A1/3m_{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.

Keywords

Cite

@article{arxiv.hep-ph/9402335,
  title  = {Green's Functions in the Color Field of a Large Nucleus},
  author = {Larry McLerran and Raju Venugopalan},
  journal= {arXiv preprint arXiv:hep-ph/9402335},
  year   = {2011}
}

Comments

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