Dirac and Faddeev–Jackiw quantization of a fivedimensional Stüeckelberg theory with a compact dimension
Abstract
A detailed Hamiltonian analysis for a fivedimensional Stüeckelberg theory with a compact dimension is performed. First, we develop a pure Dirac’s analysis of the theory; we show that after performing the compactification, the theory is reduced to fourdimensional Stüeckelberg theory plus a tower of Kaluza–Klein modes. We develop a complete analysis of the constraints, we fix the gauge and we show that there are present pseudoGoldstone bosons. Then we quantize the theory by constructing the Dirac brackets. As complementary work, we perform the Faddeev–Jackiw quantization for the theory under study, and we calculate the generalized Faddeev–Jackiw brackets, we show that both the Faddeev–Jackiw and Dirac’s brackets are the same. Finally we discuss some remarks and prospects.  Highlights: • Dirac’s method for 5D Stueckelberg theory with a compact dimension is performed. • By fixing the gauge in the effective theory we find present pseudoGoldstone bosons. • Dirac’s brackets are constructed for the zeromodes and the kkexcitations. • The Faddeev–Jackiw quantization is performed. • The equivalence between generalized Faddeev–Jackiw and Dirac’s brackets is shown.
 Authors:
 Publication Date:
 OSTI Identifier:
 22447590
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics; Journal Volume: 353; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FOURDIMENSIONAL CALCULATIONS; GOLDSTONE BOSONS; HAMILTONIANS; KALUZAKLEIN THEORY; MANYDIMENSIONAL CALCULATIONS; QUANTIZATION
Citation Formats
Escalante, Alberto, Email: aescalan@ifuap.buap.mx, and Zarate, Moises, Email: mzarate@ifuap.buap.mx. Dirac and Faddeev–Jackiw quantization of a fivedimensional Stüeckelberg theory with a compact dimension. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2014.11.007.
Escalante, Alberto, Email: aescalan@ifuap.buap.mx, & Zarate, Moises, Email: mzarate@ifuap.buap.mx. Dirac and Faddeev–Jackiw quantization of a fivedimensional Stüeckelberg theory with a compact dimension. United States. doi:10.1016/J.AOP.2014.11.007.
Escalante, Alberto, Email: aescalan@ifuap.buap.mx, and Zarate, Moises, Email: mzarate@ifuap.buap.mx. 2015.
"Dirac and Faddeev–Jackiw quantization of a fivedimensional Stüeckelberg theory with a compact dimension". United States.
doi:10.1016/J.AOP.2014.11.007.
@article{osti_22447590,
title = {Dirac and Faddeev–Jackiw quantization of a fivedimensional Stüeckelberg theory with a compact dimension},
author = {Escalante, Alberto, Email: aescalan@ifuap.buap.mx and Zarate, Moises, Email: mzarate@ifuap.buap.mx},
abstractNote = {A detailed Hamiltonian analysis for a fivedimensional Stüeckelberg theory with a compact dimension is performed. First, we develop a pure Dirac’s analysis of the theory; we show that after performing the compactification, the theory is reduced to fourdimensional Stüeckelberg theory plus a tower of Kaluza–Klein modes. We develop a complete analysis of the constraints, we fix the gauge and we show that there are present pseudoGoldstone bosons. Then we quantize the theory by constructing the Dirac brackets. As complementary work, we perform the Faddeev–Jackiw quantization for the theory under study, and we calculate the generalized Faddeev–Jackiw brackets, we show that both the Faddeev–Jackiw and Dirac’s brackets are the same. Finally we discuss some remarks and prospects.  Highlights: • Dirac’s method for 5D Stueckelberg theory with a compact dimension is performed. • By fixing the gauge in the effective theory we find present pseudoGoldstone bosons. • Dirac’s brackets are constructed for the zeromodes and the kkexcitations. • The Faddeev–Jackiw quantization is performed. • The equivalence between generalized Faddeev–Jackiw and Dirac’s brackets is shown.},
doi = {10.1016/J.AOP.2014.11.007},
journal = {Annals of Physics},
number = ,
volume = 353,
place = {United States},
year = 2015,
month = 2
}

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