scholarly journals Lagrangian and Hamiltonian BRST structures of the antisymmetric tensor gauge theory

1988 ◽  
Vol 38 (4) ◽  
pp. 1169-1175 ◽  
Author(s):  
C. Batlle ◽  
J. Gomis
Keyword(s):  
Gauge Theory ◽  
Antisymmetric Tensor

scholarly journals A SUPERSPACE FORMULATION OF ABELIAN ANTISYMMETRIC TENSOR GAUGE THEORY

2000 ◽  
Vol 15 (15) ◽  
pp. 965-978 ◽  
Author(s):  
SHINICHI DEGUCHI ◽  
BHABANI PRASAD MANDAL
Keyword(s):  
Gauge Theory ◽  
Tensor Field ◽  
Ad Hoc ◽  
Compact Form ◽  
Antisymmetric Tensor ◽  
Lagrange Equations ◽  
Generating Functional ◽  
Transformation Rules ◽  
Antisymmetric Tensor Field ◽  
Rank 2

We apply a superspace formulation to the four-dimensional gauge theory of a massless Abelian antisymmetric tensor field of rank 2. The theory is formulated in a six-dimensional superspace using rank-2 tensor, vector and scalar superfields and their associated supersources. It is shown that BRS transformation rules of fields are realized as Euler–Lagrange equations without assuming the so-called horizontality condition in an ad hoc manner and that a generating functional [Formula: see text] constructed in the superspace reduces to that of the ordinary gauge theory of Abelian rank-2 antisymmetric tensor field. The WT identity for this theory is derived by making use of the superspace formulation and is expressed in a neat and compact form [Formula: see text].

scholarly journals GAUGE INVARIANCES IN THE PROCA MODEL

1998 ◽  
Vol 13 (05) ◽  
pp. 765-778 ◽  
Author(s):  
A. S. VYTHEESWARAN
Keyword(s):  
Gauge Theory ◽  
Phase Space ◽  
Projection Operator ◽  
Tensor Field ◽  
Gauge Theories ◽  
Lorentz Invariance ◽  
Maxwell Field ◽  
Antisymmetric Tensor ◽  
Antisymmetric Tensor Field

We show that the Abelian Proca model, which is gauge noninvariant with second class constraints can be converted into gauge theories with first class constraints. The method used, which we call gauge unfixing, employs a projection operator defined in the original phase space. This operator can be constructed in more than one way and so we get more than one gauge theory. Two such gauge theories are the Stückelberg theory and the theory of Maxwell field interacting with an antisymmetric tensor field. We also show that the application of the projection operator does not affect the Lorentz invariance of this model.

SP(2)–BRST quantization of the antisymmetric tensor gauge theory

1990 ◽  
Vol 68 (4-5) ◽  
pp. 454-455
Author(s):  
Won-Sang Chung ◽  
Minho Chung ◽  
Jae-Kwan Kim
Keyword(s):  
Gauge Theory ◽  
Irreducible Representation ◽  
Brst Quantization ◽  
Antisymmetric Tensor ◽  
Invariant Action ◽  
General Method

A general method is given for the construction of gauge-fixed BRS and anti-BRS invariant action for the antisymmetric tensor gauge theory. The method is based on the single requirement that the space of fields carries an irreducible representation of the SP(2)–BRST algebra.

ABELIAN GAUGE THEORY IN TOPOLOGICALLY NON-TRIVIAL SPACE

1989 ◽  
Vol 04 (26) ◽  
pp. 2539-2547 ◽  
Author(s):  
AKIO HOSOYA ◽  
JIRO SODA
Keyword(s):  
Gauge Theory ◽  
Higher Dimensions ◽  
Antisymmetric Tensor ◽  
Wilson Loops ◽  
Tensor Fields ◽  
Maxwell Theory ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Global Modes

We quantize the (1+1)-dimensional Abelian gauge theory on cylinder to illustrate our idea how to extract global modes of topological origin. A new analysis is made for the (2+1)-dimensional Maxwell theory on T2(torus)×R(time). The dynamics is explicitly given for the Wilson loops around cycles of the torus with arbitrary moduli parameters. We also discuss an extension to antisymmetric tensor fields in higher dimensions.

Antisymmetric tensor fields and the Weyl gauge theory

1997 ◽  
Vol 113 (1) ◽  
pp. 1299-1308 ◽  
Author(s):  
B. M. Barbashov ◽  
A. B. Pestov
Keyword(s):  
Gauge Theory ◽  
Antisymmetric Tensor ◽  
Tensor Fields

Generalized canonical quantization of antisymmetric tensor gauge theory

1988 ◽  
Vol 214 (1) ◽  
pp. 47-50 ◽  
Author(s):  
M. Blagojevic ◽  
D.S. Popovic ◽  
B. Sazdovic
Keyword(s):  
Gauge Theory ◽  
Canonical Quantization ◽  
Antisymmetric Tensor

scholarly journals Antisymmetric tensor gauge theory

1993 ◽  
Vol 10 (7) ◽  
pp. 1249-1266 ◽  
Author(s):  
G Bandelloni ◽  
A Blasi
Keyword(s):  
Gauge Theory ◽  
Antisymmetric Tensor

LOCAL GAUGE FIELDS BASED ON A U(1) GAUGE THEORY IN LOOP SPACE

1994 ◽  
Vol 09 (11) ◽  
pp. 1889-1908 ◽  
Author(s):  
SHINICHI DEGUCHI ◽  
TADAHITO NAKAJIMA
Keyword(s):  
Gauge Theory ◽  
Vector Field ◽  
Loop Space ◽  
Tensor Field ◽  
Antisymmetric Tensor ◽  
Quantum Theories ◽  
Massive Vector ◽  
Local Field Theory ◽  
Antisymmetric Tensor Field ◽  
Stueckelberg Formalism

We present a U(1) gauge theory defined in loop space, the space of all loops in Minkowski space. On the basis of the U(1) gauge theory, we derive a local field theory of the second-rank antisymmetric tensor field (Kalb-Ramond field) and the Stueckelberg formalism for a massive vector field; the second-rank antisymmetric tensor field and the massive vector field are regarded as parts of a U(1) gauge field on the loop space. We also consider the quantum theories of the second-rank antisymmetric tensor field and the massive vector field on the basis of a BRST formalism for the U(1) gauge theory in loop space. In addition, reparametrization invariance in the U(1) gauge theory is discussed in detail.

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