Collective coordinates and constrained hamiltonian systems

Ömer F. Dayi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

A general method of incorporating collective coordinates (transformation of fields into an overcomplete basis) with constrained hamiltonian systems is given where the original phase space variables and collective coordinates can be bosonic or/and fermionic. This method is illustrated by applying it to the SU(2) Yang-Mills-Higgs theory and its BFV-BRST quantization is discussed. Moreover, this formalism is used to give a systematic way of converting second class constraints into effectively first class ones, by considering second class constraints as first class constraints and gauge fixing conditions. This approach is applied to the massive superparticle, Proca lagrangian, and some topological quantum field theories.

Original languageEnglish
Pages (from-to)21-50
Number of pages30
JournalAnnals of Physics
Volume217
Issue number1
DOIs
Publication statusPublished - Jul 1992
Externally publishedYes

Funding

* This work is undertaken with the support of the Alexander von Humboldt Foundation. t e-mail:[email protected]. ’ For some reviews on quantization of solitons and instantons see Refs. [8-121, and for some recent applications of the collective coordinate quantization method see Ref. [13].

FundersFunder number
Alexander von Humboldt-Stiftung

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