Gauge invariance in the theory of antisymmetric tensor fields

1982 ◽  
Vol 50 (3) ◽  
pp. 229-235 ◽  
Author(s):  
Yu. N. Obukhov
2002 ◽  
Vol 80 (7) ◽  
pp. 767-779 ◽  
Author(s):  
S V Kuzmin ◽  
D.G.C. McKeon

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


2006 ◽  
Vol 84 (1) ◽  
pp. 37-52
Author(s):  
D.G.C. McKeon ◽  
T N Sherry

The Bargmann–Wigner formalism is adapted to spherical surfaces embedded in three to eleven dimensions. This is demonstrated to generate wave equations in spherical space for a variety of antisymmetric tensor fields. Some of these equations are gauge invariant for particular values of the parameters characterizing them. For spheres embedded in three, four, and five dimensions, this gauge invariance can be generalized so as to become non-Abelian. This non-Abelian gauge invariance is shown to be a property of second-order models for two index antisymmetric tensor fields in any number of dimensions. The O(3) model is quantized and the two-point function is shown to vanish at the one-loop order.PACS No.: 11.30–j


1987 ◽  
Vol 97 (2) ◽  
pp. 141-169
Author(s):  
A. Z. Capri ◽  
M. Kobatashi

2010 ◽  
Vol 693 (4) ◽  
pp. 503-508 ◽  
Author(s):  
G. Alencar ◽  
R.R. Landim ◽  
M.O. Tahim ◽  
C.R. Muniz ◽  
R.N. Costa Filho

1989 ◽  
Vol 501 (6) ◽  
pp. 439-444 ◽  
Author(s):  
S. N. Solodukhin

1989 ◽  
Vol 6 (8) ◽  
pp. 1125-1140 ◽  
Author(s):  
P Howe ◽  
S Penati ◽  
M Pernici ◽  
P K Townsend

1993 ◽  
Vol 08 (05) ◽  
pp. 929-945 ◽  
Author(s):  
N. MAGGIORE ◽  
S.P. SORELLA

Perturbation theory for a class of topological field theories containing antisymmetric tensor fields is considered. These models are characterized by a supersymmetric structure which allows us to establish their perturbative finiteness.


1988 ◽  
Vol 37 (10) ◽  
pp. 2872-2877 ◽  
Author(s):  
Chandra Pathinayake ◽  
Alexander Vilenkin ◽  
Bruce Allen

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