The superfield quantisation of a superparticle action with an extended line element

Fitzgerald, P.L., 2005. The superfield quantisation of a superparticle action with an extended line element. International Journal of Modern Physics A, 20 (12), pp. 2639-2655. ISSN 0217-751X

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Abstract

A massive superparticle action based on the generalised line element in N = 1 global superspace is quantised canonically. A previous method of quantising this action, based on a Fock space analysis, showed that states existed in three supersymmetric multiplets, each of a different mass. The quantisation procedure presented uses the single first class constraint as an operator condition on a general N = 1 superwavefunction. The constraint produces coupled equations of motion for the component wavefunctions. Transformations of the component wavefunctions are derived that decouple the equations of motion and partition the resulting wavefunctions into three separate supermultiplets. Unlike previous quantisations of superparticle actions in N = 1 global superspace, the spinor wavefunctions satisfy the Dirac equation and the vector wavefunctions satisfy the Proca equation. The off-shell closure of the commutators of the supersymmetry transformations, that include mass parameters, are derived by the introduction of auxiliary wavefunctions. To avoid the ghosts arising in a previous Fock space quantisation an alternative conjugation is used in the definition of the current, based on a Krein space approach.

Item Type: Journal article
Description: Electronic version of an article published as International Journal of Modern Physics A, 20 (12), 2005, pp. 2639-2655, DOI:10.1142/S0217751X05022263, © World Scientific Publishing Company, http://www.worldscinet.com/ijmpa/20/2012/S0217751X05022263.html
Publication Title: International Journal of Modern Physics A
Creators: Fitzgerald, P.L.
Publisher: World Scientific Publishing Company
Place of Publication: Singapore
Date: 2005
Volume: 20
Number: 12
ISSN: 0217-751X
Identifiers:
NumberType
10.1142/S0217751X05022263DOI
Rights: Copyright © 2005 World Scientific Publishing Co. All rights reserved.
Divisions: Schools > School of Science and Technology
Depositing User: EPrints Services
Date Added: 09 Oct 2015 09:58
Last Modified: 23 Aug 2016 09:07
URI: http://irep.ntu.ac.uk/id/eprint/5679

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