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Prog. Theor. Phys. Vol. 73 No. 4 (1985) pp. 979-986

Geometric Description of BRS^* Transformations for the Fields in P₄ Theory

Hiroyuki Kikukawa and Junko Kikukawa^*

Laboratory of Engineering Oceanography, Faculty of Fisheries, University of Kagoshima, Kagoshima 890
^*Department of Physics, Kagoshima Junior College, Kagoshima 890

(Received October 5, 1984)

Abstract:

The BRS^* transformations for the fields in the gauge theory of the 4-dimensional Poincaré group P₄ are derived with the help of the heuristic geometrical approach. There appear three types of ghost fields. Among them, two types correspond to the translational and the additional one to the abelian T₄ group. When the simplest form of the Lagrangian is adopted, the theory is shown to be equivalent to Einstein's theory of gravitation.

URL : http://ptp.ipap.jp/link?PTP/73/979/
DOI : 10.1143/PTP.73.979

[ Full Text PDF : FREE ACCESS (339K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 73 No. 4 (1985) pp. 987-998 :

   Geometric Approach to the BRS^* Transformation in Superspace-Poincaré Theory

   Hiroyuki Kikukawa and Junko Kikukawa

2. Progress of Theoretical Physics Vol. 89 No. 2 (1993) pp. 523-530 :

   Internal Translation Group, Extended Cartan-Maurer Condition and Soldering Forms

   Hiroyuki Kikukawa, Junko Kikukawa and Akihiro Nakamura

3. Progress of Theoretical Physics Vol. 89 No. 5 (1993) pp. 1063-1075 :

   Internal P⁴_cI Group in Spin Space and Gauge Theory of Gravity

   Hiroyuki Kikukawa, Junko Kikukawa and Akihiro Nakamura

4. Progress of Theoretical Physics Vol. 91 No. 3 (1994) pp. 611-624 :

   Modified Maurer-Cartan Condition and Fiber Bundle Structure of the Gauge Theory of Gravity

   Akihiro Nakamura, Hiroyuki Kikukawa and Junko Kikukawa

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