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GR: Gravitation und Relativitätstheorie

GR 9: Quantisierte Gravitation?

GR 9.3: Talk

Thursday, March 20, 1997, 16:40–17:00, HS 132

Covariant Gauge Fixing of the Metric–Affine Gauge Theory of Gravity — •Frank Gronwald — Institute for Theoretical Physics, Zülpicher Str.77, 50937 Köln, GERMANY

We show how to derive gauge fixed actions of the metric–affine gauge theory of gravity (MAG) in the framework of the antifield formalism (also known as BV-BRST formalism). In particular we obtain a gauge fixed action of an arbitrary two–dimensional model of MAG which contains as a special case the gauge fixed action of the bosonic string in conformal gauge.

[1] F.W. Hehl, J.D. McCrea, E.W. Mielke, and Y. Ne’eman: “Metric–Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance”, Phys. Rep. 258 (1995) 1.

[2] J. Gomis, J. Paris, and S. Samuel: “Antibracket, Antifields and Gauge–Theory Quantization”, Phys. Rep. 259 (1995) 1.