Stueckelberg mechanism for antisymmetric tensor fields

2002 ◽  
Vol 80 (7) ◽  
pp. 767-779 ◽  
Author(s):  
S V Kuzmin ◽  
D.G.C. McKeon
Keyword(s):  
Gauge Invariance ◽  
Tensor Field ◽  
Vector Fields ◽  
Antisymmetric Tensor ◽  
Tensor Fields ◽  
Antisymmetric Tensor Field ◽  
Mass Terms

It is shown how vector Stueckelberg fields can be introduced to ensure gauge invariance for mass terms for an antisymmetric tensor field. Scalar Stueckelberg fields allow one to have gauge invariance for these vector fields. Both the Abelian and non-Abelian cases are considered. Fully antisymmetric rank-three tensor fields and symmetric rank-two tensor fields are also discussed. PACS No.: 11.15-1

scholarly journals Lorentz-violating gaugeon formalism for rank-2 tensor theory

2019 ◽  
Vol 34 (30) ◽  
pp. 1950245
Author(s):  
Sudhaker Upadhyay ◽  
Mushtaq B. Shah ◽  
Prince A. Ganai
Keyword(s):  
Tensor Field ◽  
Vector Fields ◽  
Fock Space ◽  
Antisymmetric Tensor ◽  
Type I ◽  
Classical Action ◽  
Tensor Theory ◽  
Antisymmetric Tensor Field ◽  
Gauge Fixing ◽  
Rank 2

We develop a BRST symmetric gaugeon formalism for the Abelian rank-2 antisymmetric tensor field in the Lorentz-breaking framework. The Lorentz-breaking is achieved here by considering a proper subgroup of Lorentz group together with translation. In this scenario, the gaugeon fields together with the standard fields of the Abelian rank-2 antisymmetric tensor theory get mass. In order to develop the gaugeon formulation for this theory in very special relativity (VSR), we first introduce a set of dipole vector fields as a quantum gauge freedom to the action. In order to quantize the dipole vector fields, the VSR-modified gauge-fixing and corresponding ghost action are constructed as the classical action is invariant under a VSR-modified gauge transformation. Further, we present a Type I gaugeon formalism for the Abelian rank-2 antisymmetric tensor field theory in VSR. The gauge structures of Fock space constructed with the help of BRST charges are also discussed.

scholarly journals Constraints on antisymmetric tensor fields from Bhabha scattering

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
Siddharth Tiwary ◽  
Rainer Dick
Keyword(s):  
String Theory ◽  
Effective Mass ◽  
Particle Physics ◽  
Tensor Field ◽  
Dipole Moments ◽  
Mass Scale ◽  
Antisymmetric Tensor ◽  
Tensor Fields ◽  
Bhabha Scattering ◽  
Antisymmetric Tensor Field

AbstractAntisymmetric tensor fields are a compelling prediction of string theory. This makes them an interesting target for particle physics because antisymmetric tensors may couple to electromagnetic dipole moments, thus opening a possible discovery opportunity for string theory. The strongest constraints on electromagnetic dipole couplings would arise from couplings to electrons, where these couplings would contribute to Møller and Bhabha scattering. Previous measurements of Bhabha scattering constrain the couplings to $${\tilde{M}}_e m_C>7.1\times 10^4\,{\mathrm {GeV}}^2$$ M ~ e m C > 7.1 × 10 4 GeV 2 , where $$m_C$$ m C is the mass of the antisymmetric tensor field and $${\tilde{M}}_e$$ M ~ e is an effective mass scale appearing in the electromagnetic dipole coupling.

scholarly journals ON THE LARGE N LIMIT, WILSON LOOPS, CONFINEMENT AND COMPOSITE ANTISYMMETRIC TENSOR FIELD THEORIES

2004 ◽  
Vol 19 (25) ◽  
pp. 4251-4270 ◽  
Author(s):  
CARLOS CASTRO
Keyword(s):  
Tensor Field ◽  
Degrees Of Freedom ◽  
Vacuum Expectation ◽  
Field Theories ◽  
Antisymmetric Tensor ◽  
Wilson Loops ◽  
Tensor Fields ◽  
Yang Mills ◽  
Large N ◽  
Antisymmetric Tensor Field

A novel approach to evaluate the Wilson loops associated with a SU (∞) gauge theory in terms of pure string degrees of freedom is presented. It is based on the Guendelman–Nissimov–Pacheva formulation of composite antisymmetric tensor field theories of area (volume) preserving diffeomorphisms which admit p-brane solutions and which provide a new route to scale-symmetry breaking and confinement in Yang–Mills theory. The quantum effects are discussed and we evaluate the vacuum expectation values (VEV) of the Wilson loops in the large N limit of the quenched reduced SU (N) Yang–Mills theory in terms of a path integral involving pure string degrees of freedom. The quenched approximation is necessary to avoid a crumpling of the string worldsheet giving rise to very large Hausdorff dimensions as pointed out by Olesen. The approach is also consistent with the recent results based on the AdS/CFT correspondence and dual QCD models (dual Higgs model with dual Dirac strings). More general Loop wave equations in C-spaces (Clifford manifolds) are proposed in terms of generalized holographic variables that contain the dynamics of an aggregate of closed branes (p-loops) of various dimensionalities. This allows us to construct the higher-dimensional version of Wilson loops in terms of antisymmetric tensor fields of arbitrary rank which couple to p-branes of different dimensionality.

GAUGE FIXING FOR LINEARIZED GRAVITY AND ANTISYMMETRIC TENSOR FIELDS

1990 ◽  
Vol 05 (11) ◽  
pp. 2145-2154
Author(s):  
DEBASHIS GANGOPADHYAY
Keyword(s):  
Tensor Field ◽  
Antisymmetric Tensor ◽  
Projection Operators ◽  
Tensor Fields ◽  
Linearized Gravity ◽  
Longitudinal Modes ◽  
Covariant Derivatives ◽  
Antisymmetric Tensor Field ◽  
Gauge Fixing

Using the functional stochastic scheme, the gauge fixing term for linearized gravity is shown to be related to longitudinal modes within the framework of the usual set of momentum projection operators. A similar analysis is done for non-Abelian antisymmetric tensor field by replacing derivatives with covariant derivatives in all relevant equations and by constructing suitable operators for projecting out transverse and longitudinal modes.

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.

scholarly journals Inflation with an antisymmetric tensor field

2018 ◽  
Vol 78 (11) ◽  
Author(s):  
Sandeep Aashish ◽  
Abhilash Padhy ◽  
Sukanta Panda ◽  
Arun Rana
Keyword(s):  
Tensor Field ◽  
Antisymmetric Tensor ◽  
Antisymmetric Tensor Field

scholarly journals A Yang–Mills Theory in Loop Space and Chapline–Manton Coupling

1997 ◽  
Vol 12 (02) ◽  
pp. 111-119 ◽  
Author(s):  
Shinichi Deguchi ◽  
Tadahito Nakajima
Keyword(s):  
Field Theory ◽  
Local Field ◽  
Loop Space ◽  
Tensor Field ◽  
Symmetric Tensor ◽  
Tensor Fields ◽  
Yang Mills ◽  
Local Field Theory ◽  
Antisymmetric Tensor Field ◽  
Chern Simons

We consider a Yang–Mills theory in loop space with the affine gauge group. From this theory, we derive a local field theory with Yang–Mills fields and Abelian antisymmetric and symmetric tensor fields of the second rank. The Chapline–Manton coupling, i.e. coupling of Yang–Mills fields and a second-rank antisymmetric tensor field via the Chern–Simons three-form is obtained systematically.

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