Quantization of the superparticle action in the FBF extended phase space

Joshua Feinberg; Moshe Moshe

doi:10.1016/0370-2693(90)91893-G

Quantization of the superparticle action in the FBF extended phase space

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Abstract

Covariant quantization of the zero mode of the Green and Schwarz superstring-the superlattice is studied. The essence of this long lasting problem lies within the difficulty in covariant separation of first- and second-class constraints in these systems. A recent new approach of Faddeev, Batalin and Fradkin (FBF) which treats first- and second-class constraints in a symmetrical way is employed here. In the FBF extended phase space second-class constraints become first class and conventional BRST quantization techniques can be used. The method of FBF is compared to the Stuekelberg-type approach and general conclusions are drawn on restoration of local symmetries in extended phase space. The massive superparticle action is studied and Siegel's local fermionic symmetry in the extended phase space is discussed. The massless limit results here in two disjoint vector supermultiplets.

Original language	English
Pages (from-to)	509-516
Number of pages	8
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	247
Issue number	4
DOIs	https://doi.org/10.1016/0370-2693(90)91893-G
State	Published - 20 Sep 1990
Externally published	Yes

Bibliographical note

Funding Information:
Covarianl quantization of the massless superpar-ticle action \[ 1 \] has been recently intensively studied, having in mind the analogous superstring issues. It was found difficult to quantize the system in a covariant manner and several different approaches \[2-5\] have been suggested. Indeed, the difficulties encountered (and their remedies) in the covariant quantization of the superparticle action have much in common with those that appear in the Green and Schwarz superstring quantization \[6,7\]. These are mainly due to the structure of their first-and second-class constraints systems; conventional canonical quantization, which treats these two classes of constraints differently, clearly breaks manifest covariance. Progress towards solving these problems has ~" Work supported in parl by the US Deparlment of Energy, the Israeli Academy of Sciences-Fund for Basic Research and the Fund for Promotion of Research at the Technion. t Permanent address.

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(90)91893-G

Cite this

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title = "Quantization of the superparticle action in the FBF extended phase space",

abstract = "Covariant quantization of the zero mode of the Green and Schwarz superstring-the superlattice is studied. The essence of this long lasting problem lies within the difficulty in covariant separation of first- and second-class constraints in these systems. A recent new approach of Faddeev, Batalin and Fradkin (FBF) which treats first- and second-class constraints in a symmetrical way is employed here. In the FBF extended phase space second-class constraints become first class and conventional BRST quantization techniques can be used. The method of FBF is compared to the Stuekelberg-type approach and general conclusions are drawn on restoration of local symmetries in extended phase space. The massive superparticle action is studied and Siegel's local fermionic symmetry in the extended phase space is discussed. The massless limit results here in two disjoint vector supermultiplets.",

author = "Joshua Feinberg and Moshe Moshe",

note = "Funding Information: Covarianl quantization of the massless superpar-ticle action \[ 1 \] has been recently intensively studied, having in mind the analogous superstring issues. It was found difficult to quantize the system in a covariant manner and several different approaches \[2-5\] have been suggested. Indeed, the difficulties encountered (and their remedies) in the covariant quantization of the superparticle action have much in common with those that appear in the Green and Schwarz superstring quantization \[6,7\]. These are mainly due to the structure of their first-and second-class constraints systems; conventional canonical quantization, which treats these two classes of constraints differently, clearly breaks manifest covariance. Progress towards solving these problems has ~{"} Work supported in parl by the US Deparlment of Energy, the Israeli Academy of Sciences-Fund for Basic Research and the Fund for Promotion of Research at the Technion. t Permanent address.",

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doi = "10.1016/0370-2693(90)91893-G",

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AU - Moshe, Moshe

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N2 - Covariant quantization of the zero mode of the Green and Schwarz superstring-the superlattice is studied. The essence of this long lasting problem lies within the difficulty in covariant separation of first- and second-class constraints in these systems. A recent new approach of Faddeev, Batalin and Fradkin (FBF) which treats first- and second-class constraints in a symmetrical way is employed here. In the FBF extended phase space second-class constraints become first class and conventional BRST quantization techniques can be used. The method of FBF is compared to the Stuekelberg-type approach and general conclusions are drawn on restoration of local symmetries in extended phase space. The massive superparticle action is studied and Siegel's local fermionic symmetry in the extended phase space is discussed. The massless limit results here in two disjoint vector supermultiplets.

AB - Covariant quantization of the zero mode of the Green and Schwarz superstring-the superlattice is studied. The essence of this long lasting problem lies within the difficulty in covariant separation of first- and second-class constraints in these systems. A recent new approach of Faddeev, Batalin and Fradkin (FBF) which treats first- and second-class constraints in a symmetrical way is employed here. In the FBF extended phase space second-class constraints become first class and conventional BRST quantization techniques can be used. The method of FBF is compared to the Stuekelberg-type approach and general conclusions are drawn on restoration of local symmetries in extended phase space. The massive superparticle action is studied and Siegel's local fermionic symmetry in the extended phase space is discussed. The massless limit results here in two disjoint vector supermultiplets.

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Quantization of the superparticle action in the FBF extended phase space

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