HAMILTONIAN BRST QUANTIZATION OF AN ABELIAN MASSIVE VECTOR FIELD WITH AN ANTISYMMETRIC TENSOR FIELD

1995 ◽  
Vol 10 (10) ◽  
pp. 813-822 ◽  
Author(s):  
HIROHUMI SAWAYANAGI
Keyword(s):  
Vector Field ◽  
Tensor Field ◽  
Brst Quantization ◽  
Antisymmetric Tensor ◽  
Massive Vector ◽  
Fixed Action ◽  
Antisymmetric Tensor Field ◽  
Covariant Gauge ◽  
New Variables

The Lagrangian of an Abelian massive vector field gives a system with second class constraints. We apply the Batalin–Fradkin formalism, which converts second class constraints to first class ones through the introduction of new variables. As a new variable, instead of the Stueckelberg field, we introduce an antisymmetric tensor field. A covariant gauge-fixed action is presented. The unitarity and the duality are also discussed.

scholarly journals ON THE TENSOR FORMULATION OF EFFECTIVE VECTOR LAGRANGIANS AND DUALITY TRANSFORMATIONS

1996 ◽  
Vol 11 (13) ◽  
pp. 1069-1080 ◽  
Author(s):  
JOHAN BIJNENS ◽  
ELISABETTA PALLANTE
Keyword(s):  
Vector Field ◽  
Tensor Field ◽  
Axial Vector ◽  
Antisymmetric Tensor ◽  
Vector Mesons ◽  
Massive Vector ◽  
Duality Transformations ◽  
Effective Lagrangian ◽  
Antisymmetric Tensor Field ◽  
Tensor Formulation

Using two different methods inspired by duality transformations we present the equivalence between effective Lagrangians for massive vector mesons using a vector field and an antisymmetric tensor field. This completes the list of explicit field transformations between the various effective Lagrangian methods to describe massive vector and axial vector mesons. Our method automatically generates the point-like terms needed for off-shell equivalence.

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.

scholarly journals THE FINITENESS OF THE FOUR-DIMENSIONAL ANTISYMMETRIC TENSOR FIELD MODEL IN A CURVED BACKGROUND

1998 ◽  
Vol 13 (26) ◽  
pp. 4513-4537
Author(s):  
U. FEICHTINGER ◽  
O. MORITSCH ◽  
J. RANT ◽  
M. SCHWEDA ◽  
H. ZERROUKI
Keyword(s):  
Perturbation Theory ◽  
Vector Field ◽  
Tensor Field ◽  
Field Model ◽  
Antisymmetric Tensor ◽  
Vector Parameter ◽  
Constant Vector ◽  
Curved Space ◽  
Closed Algebra ◽  
Antisymmetric Tensor Field

A renormalizable rigid supersymmetry for the four-dimensional antisymmetric tensor field model in a curved space–time background is constructed. A closed algebra between the BRS and the supersymmetry operators is only realizable if the vector parameter of the supersymmetry is a covariantly constant vector field. This also guarantees that the corresponding transformations lead to a genuine symmetry of the model. The proof of the ultraviolet finiteness to all orders of perturbation theory is performed in a pure algebraic manner by using the rigid supersymmetry.

scholarly journals QUANTIZATION OF MASSIVE ABELIAN ANTISYMMETRIC TENSOR FIELD AND LINEAR POTENTIAL

2002 ◽  
Vol 17 (09) ◽  
pp. 503-516 ◽  
Author(s):  
SHINICHI DEGUCHI ◽  
YOUSUKE KOKUBO
Keyword(s):  
Tensor Field ◽  
Theoretical Aspect ◽  
Antisymmetric Tensor ◽  
Gauge Parameter ◽  
Linear Potential ◽  
Generating Functional ◽  
Axial Gauge ◽  
Antisymmetric Tensor Field ◽  
Covariant Gauge ◽  
Tensor Current

We discuss a quantum-theoretical aspect of the massive Abelian antisymmetric tensor gauge theory with antisymmetric tensor current. To this end, an Abelian rank-2 antisymmetric tensor field is quantized both in the covariant gauge with an arbitrary gauge parameter and in the axial gauge of the Landau type. The covariant quantization yields the generating functional written in terms of an antisymmetric tensor current and its divergence. Origins of the terms in the generating functional are clearly understood in comparison with the quantization in the unitary gauge. The quantization in the axial gauge with a suitable axis directly yields the generating functional which is the same as that obtained by using Zwanziger's formulation for electric and magnetic charges. It is shown that the generating functionals lead to a composite of the Yukawa and the linear potentials.

scholarly journals On the quantum equivalence of an antisymmetric tensor field with spontaneous Lorentz violation

2020 ◽  
Vol 35 (12) ◽  
pp. 2050087 ◽  
Author(s):  
Sandeep Aashish ◽  
Sukanta Panda
Keyword(s):  
Vector Field ◽  
Minimal Model ◽  
Tensor Field ◽  
Field Model ◽  
Lorentz Violation ◽  
Antisymmetric Tensor ◽  
Curved Spacetime ◽  
Antisymmetric Tensor Field ◽  
Rank 2 ◽  
Explicit Proof

We present an explicit proof that a minimal model of rank-2 antisymmetric field with spontaneous Lorentz violation and a classically equivalent vector field model are also quantum equivalent by calculating quantum effective actions of both theories. We comment on the issues encountered while checking quantum equivalence in curved spacetime.

Hamiltonian BRST quantization of the interacting antisymmetric tensor field

1988 ◽  
Vol 215 (3) ◽  
pp. 537-541 ◽  
Author(s):  
Robertus Potting ◽  
Hui-Shu Tao ◽  
Cyrus Taylor
Keyword(s):  
Tensor Field ◽  
Brst Quantization ◽  
Antisymmetric Tensor ◽  
Antisymmetric Tensor Field

scholarly journals DUALITY INVARIANCE OF COSMOLOGICAL SOLUTIONS WITH TORSION

1999 ◽  
Vol 14 (31) ◽  
pp. 4953-4966 ◽  
Author(s):  
DEBASHIS GANGOPADHYAY ◽  
SOUMITRA SENGUPTA
Keyword(s):  
Physical Meaning ◽  
Tensor Field ◽  
Antisymmetric Tensor ◽  
Dilaton Field ◽  
Maximal Symmetry ◽  
Killing Vectors ◽  
Cosmological Solutions ◽  
Antisymmetric Tensor Field ◽  
Vacuum Solutions

We show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the O(d) ⊗ O(d) transformation on the vacuum solutions gives inequivalent solutions that are not maximally symmetric. We then show that the usual physical meaning of maximal symmetry can be made to remain unaltered even if torsion is present and illustrate this through two toy models by determining the torsion fields, the metric and Killing vectors. Finally we show that under the O(d) ⊗ O(d) transformation this generalized maximal symmetry can be preserved under certain conditions. This is interesting in the context of string related cosmological backgrounds.

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