Equaltime twopoint correlation functions in Coulomb gauge YangMills theory
Abstract
We apply a functional perturbative approach to the calculation of the equaltime twopoint correlation functions and the potential between static color charges to oneloop order in Coulomb gauge YangMills theory. The functional approach proceeds through a solution of the Schrödinger equation for the vacuum wave functional to order g and derives the equaltime correlation functions from a functional integral representation via new diagrammatic rules. We show that the results coincide with those obtained from the usual Lagrangian functional integral approach, extract the beta function, and determine the anomalous dimensions of the equaltime gluon and ghost twopoint functions and the static potential under the assumption of multiplicative renormalizability to all orders.
 Publication:

Nuclear Physics B
 Pub Date:
 January 2011
 DOI:
 10.1016/j.nuclphysb.2010.09.013
 arXiv:
 arXiv:0910.4548
 Bibcode:
 2011NuPhB.842..501C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 33 pages, 7 figures with Feyman diagrams generated with pstricks