General covariant quantization of antisymmetric tensor gauge fields

1983 ◽  
Vol 131 (1-3) ◽  
pp. 99-103 ◽  
Author(s):  
C.B. Kim ◽  
Hyo Yol Lee
Keyword(s):  
Antisymmetric Tensor ◽  
Gauge Fields ◽  
Covariant Quantization

scholarly journals Antisymmetric tensor gauge fields on S4

2004 ◽  
Vol 82 (7) ◽  
pp. 541-548
Author(s):  
D.G.C. McKeon
Keyword(s):  
Field Model ◽  
Free Field ◽  
Flat Space ◽  
Antisymmetric Tensor ◽  
Gauge Fields ◽  
Scalar Model ◽  
Abelian Gauge ◽  
Five Dimensions ◽  
Higher Dimensional

Antisymmetric tensor gauge fields ϕab(η) are formulated on the surface of a sphere S4(η2 = a2) embedded in five dimensions. Such compact manifolds occur in the dimensional reduction of higher dimensional spaces that naturally occur in string theories. The free field model is equivalent to a scalar model on this sphere. Interactions with gauge fields are discussed. It is feasable to formulate models for interactions with U(1) gauge fields Aa(η) that are akin to those of Freedman and Townsend in flat space. In addition, it proves possible to have a novel interaction of ϕab with Aa and a spinor field Ψ(η) on S4 with both Abelian and non-Abelian gauge invariance. In these models, Aa plays the role of a Stueckelberg field.PACS No.: 11.30.Ly

Unified geometry of antisymmetric tensor gauge fields and gravity

1982 ◽  
Vol 199 (3) ◽  
pp. 482-494 ◽  
Author(s):  
Peter G.O. Freund ◽  
Rafael I. Nepomechie
Keyword(s):  
Antisymmetric Tensor ◽  
Gauge Fields

A NOVEL COVARIANT APPROACH TO THE QUANTIZATION OF INTERACTIVE CHIRAL BOSONS

1994 ◽  
Vol 09 (14) ◽  
pp. 1273-1281 ◽  
Author(s):  
JIAN-GE ZHOU ◽  
YAN-GANG MIAO ◽  
YAO-YANG LIU
Keyword(s):  
Path Integral ◽  
Integral Approach ◽  
Gauge Fields ◽  
Covariant Quantization ◽  
Covariant Approach ◽  
Schwinger Model ◽  
Path Integral Approach ◽  
Chiral Bosons

A new covariant quantization of chiral bosons in the chiral Schwinger model with faddeevian regularization is carried out from Batalin-Fradkin (BF) algorithm. In order to turn the second class chiral constraint into first class constraints, infinitely many BF fields are first introduced. When combined with Batalin-Fradkin-Vilkovisky (BFV) formalism, two kinds of BRST-invariant actions have been derived. The first contains the Wess-Zumino action induced from the usual path-integral approach. But the second includes Wotzasek’s Wess-Zumino action coupled to the gauge fields.

scholarly journals ON THE COVARIANT QUANTIZATION OF THE SECOND-ILK SUPERPARTICLE

1992 ◽  
Vol 07 (19) ◽  
pp. 4583-4594 ◽  
Author(s):  
J.L. VÁZQUEZ-BELLO
Keyword(s):  
Light Cone ◽  
Gauge Fields ◽  
Covariant Quantization ◽  
Brst Charge ◽  
Brst Cohomology ◽  
Physical Spectrum ◽  
Full Structure ◽  
Light Cone Quantization ◽  
Quantum Action ◽  
Gauge Conditions

This paper is devoted to the quantization of the second-ilk superparticle using the Batalin-Vilkovisky method. We show the full structure of the master action. By imposing gauge conditions on the gauge fields rather than on coordinates we find a gauge-fixed quantum action which is free. The structure of the BRST charge is exhibited, and the BRST cohomology yields the same physical spectrum as the light-cone quantization of the usual superparticle.

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