Function group approach to unconstrained Hamiltonian Yang–Mills theory

A renormalization group approach to Hamiltonian light - front field theory

A perturbative renormalization group is formulated for the study of Hamiltonian light-front field theory near a critical Gaussian fixed point. The only light-front renormalization group transformations found here that can be approximated by dropping irrelevant operators and using perturbation theory near Gaussian fixed volumes, employ invariant-mass cutoffs. These cutoffs violate covariance and...

A perturbative renormalization group approach to light-front Hamiltonian

A perturbative renormalization group (RG) scheme for light-front Hamiltonian is formulated on the basis of the Bloch-Horowitz effective Hamiltonian, and applied to the simplest φ4 model with spontaneous breaking of the Z2 symmetry. RG equations are derived at one-loop order for both symmetric and broken phases. The equations are consistent with those calculated in the covariant perturbation the...

Hamiltonian approach to Coulomb gauge Yang-Mills Theory

The vacuum wave functional of Coulomb gauge Yang-Mills theory is determined within the vari-ational principle and used to calculate various Green functions and observables. The results show that heavy quarks are confined by a linearly rising potential and gluons cannot propagate over large distances. The 't Hooft loop shows a perimeter law and thus also indicates confinement.

Ab Initio Hamiltonian Approach to Light-Front Quantum Field Theory

Hamiltonian approach to Yang-Mills theory in Coulomb gauge

Recent results obtained within the Hamiltonian approach to continuum Yang-Mills theory in Coulomb gauge are reviewed. INTRODUCTION There have been many attempts in the past to solve the Yang-Mills Schrödinger equation using gauge invariant wave functionals. Unfortunately, all these approaches have not been blessed with much success2. The reason is that it is extremely difficult to work with gau...