Light-front-quantized QCD in a covariant gauge
- Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)
The light-front (LF) canonical quantization of quantum chromodynamics in covariant gauges is discussed. The Dirac procedure is used to eliminate the constraints in the gauge-fixed front form theory quantum action and to construct the LF Hamiltonian formulation. The physical degrees of freedom emerge naturally. The propagator of the dynamical {psi}{sub +} part of the free fermionic propagator in the LF quantized field theory is shown to be causal and not to contain instantaneous terms. Since the relevant propagators in the covariant gauge formulation are causal, rotational invariance--including the Coulomb potential in the static limit--can be recovered, avoiding the difficulties encountered in light-cone gauge. Wick rotation may also be performed allowing the conversion of momentum space integrals into Euclidean space forms. Some explicit computations are done in quantum electrodynamics to illustrate the equivalence of front form theory with the conventional covariant formulation. LF quantization thus provides a consistent formulation of gauge theory, despite the fact that the hyperplanes x{sup {+-}}=0 used to impose boundary conditions constitute characteristic surfaces of a hyperbolic partial differential equation. (c) 1999 The American Physical Society.
- OSTI ID:
- 20215160
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 61, Issue 2; Other Information: PBD: 15 Jan 2000; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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