Unitary Background Gauges and Hamiltonian approach to Yang--Mills Theories

Details Unitary Background Gauges and Hamiltonian approach to Yang--Mills Theories Unitary Background Gauges and Hamiltonian approach to Yang--Mills Theories

1995-12-06

arxiv.org/abs/hep-th/9512037v1

Physics

High Energy Physics

High Energy Physics - Theory

24 pages including 1 Postscript figure

Scientific paper

A variety of unitary gauges for perturbation theory in a background field is considered in order to find those most suitable for a Hamiltonian treatment of the system. We select two convenient gauges and derive the propagators $D_{\mu\nu}$ for gluonic quantum fluctuations immersed in background configurations. The first one is a unitary generalization of the usual Coulomb gauge in QED which preserves the decoupling of two propagating polarizations from the instantaneous one. The second possibility is the axial light cone gauge which remains ghost free also in the presence of a background. Applications of the formalism to the spectrum and dynamics of QCD at the confinement scale, such as hybrid states, are briefly discussed.

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