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Prog. Theor. Phys. Vol. 107 No. 1 (2002) pp. 191-210

[ Full Text PDF : FREE ACCESS (223K) ]

Massless Modes of Lorentz Gauge Fields in Poincaré Gauge Theory of Gravity

— The Case with α+2a/3=β-2a/3=γ+3a/2=0 —

Kazumi Fukuma*

Department of Control Engineering, Takuma National College of Technology, Kagawa 769-1192, Japan

(Received September 18, 2001)

Abstract:

The Lorentz gauge fields in Poincaré gauge theory of gravity are considered in a linear approximation. Propagators of Lorentz gauge fields are examined to show the existence of massless modes of these fields. Our consideration is restricted to the case with the condition α+2a/3=β-2a/3=γ+3a/2=0, where α, β, γ and a are parameters appearing in the gravitational Lagrangian. We find that four ghost-free theories have normal modes and that each of the theories has a mode with helicity-parity 1+ or 1-. We also demonstrate a duality of the approximated Poincaré gauge theories in this case.


URL : http://ptp.ipap.jp/link?PTP/107/191/
DOI : 10.1143/PTP.107.191


*E-mail: fukuma@dc.takuma-ct.ac.jp

[ Full Text PDF : FREE ACCESS (223K) ] Citation:

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