Avoiding degenerate coframes in an affine gauge approach to quantum gravity
arXiv:gr-qc/9301023 · doi:10.1103/PhysRevD.48.673
Abstract
In quantum models of gravity, it is surmized that configurations with degenerate coframes could occur during topology change of the underlying spacetime structure. However, the coframe is not the true Yang--Mills type gauge field of the translations, since it lacks the inhomogeneous gradient term in the gauge transformations. By explicitly restoring this ``hidden" piece within the framework of the affine gauge approach to gravity, one can avoid the metric or coframe degeneracy which would otherwise interfere with the integrations within the path integral. This is an important advantage for quantization.
14 pages, Preprint Cologne-thp-1993-H2
References in corpus (5)
- Jones Polynomials for Intersecting Knots as Physical States of Quantum Gravity
- Dynamical Origin of the Lorentzian Signature of Spacetime
- Improved Energy-Momentum Currents in Metric-Affine Spacetime
- Chern--Simons Gravity from 3+1 Dimensional Gravity
- Matter Coupling and Spontaneous Symmetry Breaking in Topological Gravity
Cited by in corpus (20)
- Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
- Volterra Distortions, Spinning Strings, and Cosmic Defects
- Gravitational Goldstone fields from affine gauge theory
- The Higgs sector of gravitational gauge theories
- The Dislocation Stress Functions From the Double Curl T(3)-Gauge Equation: Linearity and a Look Beyond
- Towards complete integrability of two dimensional Poincaré gauge gravity
- Algebraic structure of Gravity with Torsion
- Ordinary Matter in Nonlinear Affine Gauge Theories of Gravitation
- Poincare gauge invariance and gravitation in Minkowski spacetime
- Einsteinian gravity from a topological action
- Anomalies and gravity
- Chiral Anomaly in Contorted Spacetimes
- Projective Invariance and One-Loop Effective Action in Affine-Metric Gravity Interacting with Scalar Field
- Hamiltonian Poincaré Gauge Theory of Gravitation
- The One-Loop Divergences of the Linear Gravity with the Torsion Terms
- Neutrino Helicity and Chirality Transitions in Schwarzschild Space-Time
- Torsion as a dynamic degree of freedom of quantum gravity
- Non-Linear Affine Embedding of the Dirac Field from the Multiplicity-Free SL(4,R) Unirreps
- Time evolution in the presence of gravity
- A unified view of curvature and torsion in metric-affine gauge theory of gravity through affine-vector bundles