Path integral measure for first order and metric gravities
arXiv:gr-qc/0303113 · doi:10.1088/0264-9381/20/13/336
Abstract
The equivalence between the path integrals for first order gravity and the standard torsion-free, metric gravity in 3+1 dimensions is analyzed. Starting with the path integral for first order gravity, the correct measure for the path integral of the metric theory is obtained.
10 pages, No figures
References in corpus (8)
- Large N Field Theories, String Theory and Gravity
- The Dynamics of General Relativity
- Physical Aspects of the Space-Time Torsion
- The dynamical structure of higher dimensional Chern-Simons theory
- Higher Dimensional Gravity, Propagating Torsion and AdS Gauge Invariance
- Path integral for the Hilbert-Palatini and Ashtekar gravity
- Darboux coordinates for (first order) tetrad gravity
- A note on the spin connection representation of gravity
Cited by in corpus (13)
- Standard Model Meets Gravity: Electroweak Symmetry Breaking and Inflation
- Perturbative quantum gravity with the Immirzi parameter
- Matter matters in Einstein-Cartan gravity
- Cosmology with Scalar-Euler form Coupling
- Coupling Metric-Affine Gravity to the Standard Model and Dark Matter Fermions
- Boundary conditions in first order gravity: Hamiltonian and Ensemble
- Quantum algebra of the Hamiltonian constraint in reduced four-dimensional gravity
- About the (in)equivalence between holonomic versus non-holonomic theories of gravity
- Matter coupling to degenerate spacetimes in first order gravity
- Purely geometric path integral for spin foams
- On topology changes in quantum field theory and quantum gravity
- Energy and Hamiltonian in first order gravity
- Covariant quantization of the Einstein-Hilbert theory in first-order form