Reducible gauge theories in local superfield Lagrangian BRST quantization

Lagrangian quantization rules for general gauge theories are proposed on a basis of a superfield formulation of the standard BRST symmetry. Independence of the S-matrix on a choice of the gauge is proved. The Ward identities in terms of superfields are derived.

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BRST QUANTIZATION OF GAUGE THEORIES ON THE HYPERSPHERE

Modern Physics Letters A ◽

10.1142/s0217732391002414 ◽

1991 ◽

Vol 06 (24) ◽

pp. 2201-2203 ◽

Cited By ~ 1

Author(s):

D. G. C. McKEON

Keyword(s):

Vector Field ◽

Gauge Field ◽

Gauge Theories ◽

Brst Quantization ◽

Radial Component ◽

Effective Lagrangian ◽

Abelian Case ◽

Gauge Fixing

Drummond and Shore have shown that the most convenient gauge fixing term for gauge theories on a hypersphere is not a perfect square. We show how BRST quantization can be used to generate this gauge fixing term. This involves the introduction of two ghost fields, ci and [Formula: see text], the second of which is an anticommuting vector field. In the Abelian case, only the radial component of [Formula: see text] enters the effective Lagrangian; this is true in the non-Abelian case only if the gauge field is tangential to the hypersphere.

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BRST quantization of noncommutative gauge theories

Physical Review D ◽

10.1103/physrevd.67.105005 ◽

2003 ◽

Vol 67 (10) ◽

Cited By ~ 9

Author(s):

Masoud Soroush

Keyword(s):

Gauge Theories ◽

Brst Quantization ◽

Noncommutative Gauge Theories

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SUPERSPACE FORMULATION FOR THE BRST QUANTIZATION OF THE CHIRAL SCHWINGER MODEL

International Journal of Modern Physics A ◽

10.1142/s0217751x98000202 ◽

1998 ◽

Vol 13 (03) ◽

pp. 493-500 ◽

Cited By ~ 5

Author(s):

EVERTON M. C. ABREU ◽

NELSON R. F. BRAGA

Keyword(s):

Gauge Theories ◽

Brst Quantization ◽

Loop Order ◽

Schwinger Model ◽

Closed Algebra ◽

Quantum Action

It has recently been shown that the field–antifield quantization of anomalous irreducible gauge theories with closed algebra can be represented in a BRST superspace where the quantum action at one loop order, including the Wess–Zumino term, and the anomalies show up as components of the same superfield. We show here how the Chiral Schwinger Model can be represented in this formulation.

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Sp(2) COVARIANT QUANTIZATION OF GAUGE THEORIES

Modern Physics Letters A ◽

10.1142/s0217732391002220 ◽

1991 ◽

Vol 06 (22) ◽

pp. 2051-2057 ◽

Cited By ~ 11

Author(s):

P. M. LAVROV

Keyword(s):

Green's Functions ◽

Gauge Theories ◽

Green’S Functions ◽

Brst Quantization ◽

Covariant Quantization ◽

Gauge Dependence

The gauge dependence of the Green's functions generating functionals in the framework of extended Lagrangian BRST quantization is investigated.

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GAUGE ALGEBRA OF IRREDUCIBLE THEORIES IN THE Sp(2)-SYMMETRIC BRST FORMALISM

Modern Physics Letters A ◽

10.1142/s0217732312501702 ◽

2012 ◽

Vol 27 (30) ◽

pp. 1250170 ◽

Cited By ~ 2

Author(s):

A. V. BRATCHIKOV

Keyword(s):

Explicit Solution ◽

Gauge Theories ◽

Brst Quantization ◽

Master Equations ◽

Quantization Scheme ◽

Gauge Algebra ◽

Observable Algebra

An explicit solution to classical master equations of the Sp(2)-symmetric Hamiltonian BRST quantization scheme is presented in the case of irreducible gauge theories. A realization of the observable algebra is constructed.

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