The algebraic structure of BRST quantization

Mark John Bowick, Feza Gürsey

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

It is shown that a system of first-class bosonic constraints obeying a Lie algebra has associated with it a natural superalgebra. BRST quantization arises as a non-linear representation of this superalgebra. Two distinct superalgebras are explicitly constructed and their associated BRST quantizations presented. The first BRST quantization is the canonical one with the BRST charge a grassmannian scalar. The second is new - the BRST charge is a grassmannian spinor transforming in the fundamental representation of the appropriate superalgebra. Generalizations are briefly discussed.

Original languageEnglish (US)
Pages (from-to)182-186
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume175
Issue number2
DOIs
StatePublished - Jul 31 1986
Externally publishedYes

Fingerprint

algebra
scalars

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

The algebraic structure of BRST quantization. / Bowick, Mark John; Gürsey, Feza.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 175, No. 2, 31.07.1986, p. 182-186.

Research output: Contribution to journalArticle

@article{87d0f560176a4be59659aa47ab2512c5,
title = "The algebraic structure of BRST quantization",
abstract = "It is shown that a system of first-class bosonic constraints obeying a Lie algebra has associated with it a natural superalgebra. BRST quantization arises as a non-linear representation of this superalgebra. Two distinct superalgebras are explicitly constructed and their associated BRST quantizations presented. The first BRST quantization is the canonical one with the BRST charge a grassmannian scalar. The second is new - the BRST charge is a grassmannian spinor transforming in the fundamental representation of the appropriate superalgebra. Generalizations are briefly discussed.",
author = "Bowick, {Mark John} and Feza G{\"u}rsey",
year = "1986",
month = "7",
day = "31",
doi = "10.1016/0370-2693(86)90712-4",
language = "English (US)",
volume = "175",
pages = "182--186",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",
number = "2",

}

TY - JOUR

T1 - The algebraic structure of BRST quantization

AU - Bowick, Mark John

AU - Gürsey, Feza

PY - 1986/7/31

Y1 - 1986/7/31

N2 - It is shown that a system of first-class bosonic constraints obeying a Lie algebra has associated with it a natural superalgebra. BRST quantization arises as a non-linear representation of this superalgebra. Two distinct superalgebras are explicitly constructed and their associated BRST quantizations presented. The first BRST quantization is the canonical one with the BRST charge a grassmannian scalar. The second is new - the BRST charge is a grassmannian spinor transforming in the fundamental representation of the appropriate superalgebra. Generalizations are briefly discussed.

AB - It is shown that a system of first-class bosonic constraints obeying a Lie algebra has associated with it a natural superalgebra. BRST quantization arises as a non-linear representation of this superalgebra. Two distinct superalgebras are explicitly constructed and their associated BRST quantizations presented. The first BRST quantization is the canonical one with the BRST charge a grassmannian scalar. The second is new - the BRST charge is a grassmannian spinor transforming in the fundamental representation of the appropriate superalgebra. Generalizations are briefly discussed.

UR - http://www.scopus.com/inward/record.url?scp=22244469696&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22244469696&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(86)90712-4

DO - 10.1016/0370-2693(86)90712-4

M3 - Article

AN - SCOPUS:22244469696

VL - 175

SP - 182

EP - 186

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 2

ER -