Variational Approach to Yang-Mills Theory with non-Gaussian Wave Functionals

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 calculat...

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Bibliographic Details
Main Authors: Campagnari, Davide R., Reinhardt, Hugo
Format: Conference Proceeding
Language:English
Subjects:
BOSONS
CALCULATION METHODS
CONSTRUCTIVE FIELD THEORY
FIELD THEORIES
FUNCTIONALS
FUNCTIONS
GAUGE INVARIANCE
GLUONS
HAMILTONIANS
INVARIANCE PRINCIPLES
KERNELS
LATTICE FIELD THEORY
MATHEMATICAL OPERATORS
PERTURBATION THEORY
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PROPAGATOR
QUANTUM FIELD THEORY
QUANTUM OPERATORS
VARIATIONAL METHODS
WAVE FUNCTIONS
YANG-MILLS THEORY
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.3574979