Coherent States and Constrained Systems

Abstract

The quantization of systems with constraints is important in many applications that include lightfront quantization schemes along with familiar gauge theories. Principal techniques for the quantization of such systems involve conventional operator techniques [1], path integral techniques in terms of the original phase space variables [2], extended operator techniques involving ghost variables in addition to the original variables and extended path integral techniques also including ghost fields [3]. In most popular techniques Gribov ambiguities of one or another kind appear that render the approach difficult if not outright impossible [4]. Gribov difficulties were first established for functional integral techniques, but it has recently been shown that even the popular BRST approach is not immune to Gribov ambiguities [5].