Open AccessCanonical quantization of dirac field in a finite volume
Author(s) -
Qing Wang,
Zheng-Wen Long,
Chen Luo
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.100305
Subject(s) - quantization (signal processing) , canonical quantization , dirac (video compression format) , boundary value problem , boundary (topology) , mathematical physics , field (mathematics) , finite volume method , physics , mathematics , mathematical analysis , pure mathematics , quantum mechanics , algorithm , quantum , quantum gravity , neutrino
The canonical quantization of Dirac field in a finite volume is studied. Following the idea of taking the boundary conditions as primary Dirac constraints, we propose a method to treat both the intrinsic constraints and boundary conditions equally. We shall work in the discrete version and quantize the model canonically. In order to verify our method to treat the intrinsic constraints and boundary conditions on the same footing, we obtain the same results by choosing two different subsets of constraints to construct the intermediate Dirac brackets.