Variational Approach to Yang--Mills Theory with non-Gaussian Wave Functionals
Davide R. Campagnari, Hugo Reinhardt
TL;DR
This paper introduces a variational method for non-Gaussian wave functionals in quantum field theory, specifically applied to Yang-Mills theory, incorporating a three-gluon kernel to improve the vacuum state description.
Contribution
It develops a general approach for non-Gaussian wave functionals and applies it to include three-gluon interactions in Yang-Mills theory within the Hamiltonian framework.
Findings
Calculated the three-gluon vertex using variational propagators.
Enhanced the vacuum wave functional with a three-gluon kernel.
Demonstrated the method's applicability to non-Gaussian 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.
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