Renormalization of Field Theories in Riemann-Cartan Space-Time

Pronin, P. I.

doi:10.1007/978-1-4615-3814-1_18

P. I. Pronin³

Part of the book series: NATO ASI Series ((NSSB,volume 230))

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Abstract

Eiemann-Cartan geometry with curvature and torsion arises naturally within the framework of Poincaré gauge theory of gravity. The simplest example is given by the Einstein-Cartan theory (Kibble, 1961; Sciama, 1962; Trautman, 1973; Hehl et al., 1976) in which the coupling of spin and torsion is realised in a degenerate algebraic manner. More general models are based on the Yang-Mills type Lagrangians, quadratic both in torsion and curvature. Classical dynamics of the Poincaré gravitational fields is at present intensively studied (some bibliography can be found in books by Ivanenko et al., (1985) and Ponomariev et al. (1985)).

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Moscow State University, Moscow, USSR
P. I. Pronin

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P. I. Pronin
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Konstanz University, Konstanz, Federal Republic of Germany
Jürgen Audretsch
Bologna University, Bologna, Italy
Venzo de Sabbata

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Pronin, P.I. (1990). Renormalization of Field Theories in Riemann-Cartan Space-Time. In: Audretsch, J., de Sabbata, V. (eds) Quantum Mechanics in Curved Space-Time. NATO ASI Series, vol 230. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3814-1_18

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DOI: https://doi.org/10.1007/978-1-4615-3814-1_18
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