Variational approach to Yang–Mills theory with non-Gaussian wave functionals

Abstract

A general method for treating non-Gaussian wave functionals in quantum field theory is presented and applied to the Hamiltonian approach to Yang-Mills theory in Coulomb gauge in order to include a three-gluon kernel in the exponential of the vacuum wave functional. The three-gluon vertex is calculated using the propagators found in the variational approach with a Gaussian trial wave functional as input.

The QCD Vacuum as a Disordered Chromomagnetic Condensate

“…On the other hand, interestingly enough, in Refs. [24][25][26], pure Yang-Mills theories have been investigated within the Schrödinger representation in the Coulomb gauge. These authors, by using vacuum functionals that are strongly peaked at the Gribov horizon, showed that the vacuum functional becomes field independent in the infrared consistent with a stochastic vacuum at large distances.…”