Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
arXiv:1009.4599 · doi:10.1103/PhysRevD.82.105021
Abstract
A general method to treat non-Gaussian vacuum wave functionals in the Hamiltonian formulation of a quantum field theory is presented. By means of Dyson--Schwinger techniques, the static Green functions are expressed in terms of the kernels arising in the Taylor expansion of the exponent of the vacuum wave functional. These kernels are then determined by minimizing the vacuum expectation value of the Hamiltonian. The method is applied to Yang--Mills theory in Coulomb gauge, using a vacuum wave functional whose exponent contains up to quartic terms in the gauge field. An estimate of the cubic and quartic interaction kernels is given using as input the gluon and ghost propagators found with a Gaussian wave functional.
27 pages, 21 figures
References in corpus (11)
- Three-point vertices in Landau-gauge Yang-Mills theory
- Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
- Coulomb gauge gluon propagator and the Gribov formula
- Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
- Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
- Dielectric function of the QCD vacuum
- The running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory
- Two-Point Functions of Coulomb Gauge Yang-Mills Theory
- Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
- The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
- Topological susceptibility in SU(2) Yang-Mills theory in the Hamiltonian approach in Coulomb gauge