Abstract
Abstract
Poincaré Gauge Theories are a class of Metric-Affine Gravity theories with a metric-compatible (i.e. Lorentz) connection and with an action quadratic in curvature and torsion. We perform an explicit one-loop calculation starting with a single term of each type and show that not only are all other terms generated, but also many others. In our particular model all terms containing torsion are redundant and can be eliminated by field redefinitions, but there remains a new term quadratic in curvature, making the model non-renormalizable. We discuss the likely behavior of more general theories of this type.
Publisher
Springer Science and Business Media LLC
Reference56 articles.
1. R. Utiyama, Invariant theoretical interpretation of interaction, Phys. Rev. 101 (1956) 1597 [INSPIRE].
2. F.W. Hehl, P. Von Der Heyde, G.D. Kerlick and J.M. Nester, General Relativity with Spin and Torsion: Foundations and Prospects, Rev. Mod. Phys. 48 (1976) 393 [INSPIRE].
3. 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. Rept. 258 (1995) 1 [gr-qc/9402012] [INSPIRE].
4. M. Blagojević and F.W. Hehl, Gauge Theories of Gravitation: a Reader with Commentaries, World Scientific (2013).
5. R. Percacci, Geometry of nonlinear field theories, World Scientific (1984).
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