Perturbative Yang-Mills Ground State in the Temporal Gauge

Abstract

Second order corrections to the perturbative ground state wave functional and vacuum energy of a Yang-Mills theory are calculated in the temporal gauge. Using dimensional regularization, the concepts of renormalization and a running coupling constant are motivated in a spatially gauge invariant way, before the introduction of a scalar product. After definition of a scalar product, it is shown that the renormalization constants of this approach are just those of the Axial gauge.

arXiv comment7 pages, supporting derivations available from author

References in corpus (4)

• Coulomb Gauge QCD, Confinement, and the Constituent Representation
• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Perturbation theory in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge