Poincare gauge invariance and gravitation in Minkowski spacetime

Abstract

A formulation of Poincare 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.

36 pages, latex-file

References in corpus (4)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Avoiding degenerate coframes in an affine gauge approach to quantum gravity
• Ordinary Matter in Nonlinear Affine Gauge Theories of Gravitation
• Projective Invariance and One-Loop Effective Action in Affine-Metric Gravity Interacting with Scalar Field

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• Asymptotic States and the Definition of the S-matrix in Quantum Gravity
• Local Lorentz invariance and a new theory of gravitation equivalent to General Relativity
• Poincaré gauge gravity: an emergent scenario
• Fresh perspective on gauging the conformal group
• A Non-Geometrodynamic Quantum Yang-Mills Theory of Gravity Based on the Homogeneous Lorentz Group