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A Note On The First Class Approaches Of Massive P-Forms

A Note On The First Class Approaches Of Massive P-Forms Received: 28 December 2011 The problem of quantization of the massive p -forms is Accepted: 19 January 2012 considered in the framework of the Batalin-Fradkin (BF) approach based on path integral. The quantization procedure relies on the path integral of Keywords: quantization methods, a first-class system equivalent with the original theory. This first-class path integral. system is constructed using the BF method. 1. Introduction In this paper we approach the problem of the Hamiltonian quantization of the massive -forms. In view of this, we construct a first-class system equivalent with the original second-class theory using the BF method [1]-[4] and then we quantify the resulting first-class system. The associated first-class system has to satisfy the following requirements: its number of physical degrees of freedom coincides with that of the original second-class theory and the algebras of classical observables are isomorphic. 2. BF Method We start with a bosonic dynamic system with the phase-space locally parameterized by a i n canonical pairs z = (q , p ) , endowed with the canonical Hamiltonian H , and subject to i c the second-class constraints  (z) 0,  = 1,2M . (1)  0 0 In order to construct a http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of West University of Timisoara - Physics de Gruyter

A Note On The First Class Approaches Of Massive P-Forms

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Publisher
de Gruyter
Copyright
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ISSN
1224-9718
DOI
10.1515/awutp-2015-0009
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Abstract

Received: 28 December 2011 The problem of quantization of the massive p -forms is Accepted: 19 January 2012 considered in the framework of the Batalin-Fradkin (BF) approach based on path integral. The quantization procedure relies on the path integral of Keywords: quantization methods, a first-class system equivalent with the original theory. This first-class path integral. system is constructed using the BF method. 1. Introduction In this paper we approach the problem of the Hamiltonian quantization of the massive -forms. In view of this, we construct a first-class system equivalent with the original second-class theory using the BF method [1]-[4] and then we quantify the resulting first-class system. The associated first-class system has to satisfy the following requirements: its number of physical degrees of freedom coincides with that of the original second-class theory and the algebras of classical observables are isomorphic. 2. BF Method We start with a bosonic dynamic system with the phase-space locally parameterized by a i n canonical pairs z = (q , p ) , endowed with the canonical Hamiltonian H , and subject to i c the second-class constraints  (z) 0,  = 1,2M . (1)  0 0 In order to construct a

Journal

Annals of West University of Timisoara - Physics – de Gruyter

Published: Dec 1, 2012

Keywords: Materials Sciences; Modeling and Simulations; Physics; Theoretical and Mathematical Physics; Condensed Matter Physics; Medical Physics

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