Gauge invariance of parametrized systems and path integral quantization

Content Provider	Semantic Scholar
Author	Cicco, Hernán De Simeone, Claudio
Copyright Year	2001
Abstract	Gauge invariance of systems whose Hamilton-Jacobi equation is separable is improved by adding surface terms to the action fuctional. The general form of these terms is given for some complete solutions of the Hamilton-Jacobi equation. The procedure is applied to the relativistic particle and toy universes, which are quantized by imposing canonical gauge conditions in the path integral; in the case of empty models, we first quantize the parametrized system called “ideal clock”, and then we examine the possibility of obtaining the amplitude for the minisuperspaces by matching them with the ideal clock. The relation existing between the geometrical properties of the constraint surface and the variables identifying the quantum states in the path integral is discussed. PACS numbers: 04.60.Kz 04.60.Gw 98.80.Hw Electronic address: decicco@cnea.gov.ar Electronic address: simeone@tandar.cnea.gov.ar 1
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://arxiv.org/pdf/gr-qc/0108079v1.pdf
Language	English
Access Restriction	Open
Subject Keyword	Hamilton–Jacobi–Bellman equation Jacobi method MATCHING Path integral formulation Physics and Astronomy Classification Scheme Quantization (signal processing) Quantum state Relativistic particle
Content Type	Text
Resource Type	Article