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Poincaré gauge invariance and gravitation in Minkowski spacetime

C Wiesendanger

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A formulation of Poincaré symmetry as an inner symmetry of field theories defined on a fixed Minkowski spacetime is given. Local P gauge transformations and the corresponding covariant derivative with P gauge fields are introduced. The renormalization properties of scalar, spinor and vector fields in P gauge field backgrounds are determined. A minimal gauge field dynamics consistent with the renormalization constraints is given.


PACS

11.30.Cp Lorentz and Poincare invariance

11.10.Hi Renormalization group evolution of parameters

11.15.-q Gauge field theories

04.20.Gz Spacetime topology, causal structure, spinor structure

MSC

83C47 Methods of quantum field theory (See also 81T20)

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

81T17 Renormalization group methods

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 4 (April 1996)

Received 10 May 1995, in final form 2 January 1996



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