A Poincaré Gauge Theory of Gravitation in Minkowski Spacetime

The conventional role of spacetime geometry in the description of gravity is pointed out. Global Poincaré symmetry as an inner symmetry of field theories defined on a fixed Minkowski spacetime is discussed. Its extension to local P gauge symmetry and the corresponding P gauge fields are introduced. Their minimal coupling to matter is obtained. The scaling behaviour of the partition function of a spinor in P gauge field backgrounds is computed. The corresponding renormalization constraint is used to determine a minimal gauge field dynamics