Lattice computations of small x parton distributions in a model of parton densities in very large nuclei
May, 199622 pages
Published in:
- Phys.Rev.D 54 (1996) 5795-5803
e-Print:
- hep-ph/9605327 [hep-ph]
Report number:
- DOE-ER-40561-261,
- INT-96-00-126,
- TPI-MINN-96-06,
- NUC-MINN-96-8-T
Citations per year
Abstract:
Using weak coupling methods McLerran and Venugopalan\cite{LV1} expressed the parton distributions in large nuclei as correlation functions of a two dimensional Euclidean field theory. The theory has the dimensionful coupling , where is the valence quark color charge squared per unit area. We use a lattice regularization to investigate these correlation functions both analytically and numerically for the simplified case of gauge theory. In weak coupling (), where is the transverse size of the nucleus, the numerical results agree with the {\it analytic} lattice weak coupling results. For , no solutions exist at O() where is the lattice spacing. This suggests an ill-defined infrared behavior for the two dimensional theory. A recent proposal of McLerran et al.\cite{Kovner} for an {\it analytic} solution of the classical problem is discussed briefly.- 12.38.Bx
- 12.38.Mh
- gauge field theory: SU(2)
- lattice field theory
- dimension: 2
- nuclear physics
- nucleus: heavy
- momentum spectrum: parton
- correlation function
- differential equations: solution
References(15)
Figures(0)