Factor ordering and path integral measure for quantum gravity in \((1+1)\) dimensions
DOI10.3842/SIGMA.2017.039zbMath1366.81291arXiv1612.05622OpenAlexW2565238999MaRDI QIDQ2628015
Publication date: 9 June 2017
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.05622
factor ordering in quantum gravitypath integrals in quantum gravityquantization on a half-linesingularity avoidance in quantum gravity
Linear symmetric and selfadjoint operators (unbounded) (47B25) Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45) Path integrals in quantum mechanics (81S40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Analogues of general relativity in lower dimensions (83C80)
Uses Software
Cites Work
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- Remarks on the Trotter-Kato product formula for unitary groups
- Self-adjoint extensions in quantum mechanics. General theory and applications to Schrödinger and Dirac equations with singular potentials.
- Self-adjoint operators
- NIST digital library of mathematical functions
- 2d CDT is 2d Hořava-Lifshitz quantum gravity
- Singular potentials in quantum mechanics and ambiguity in the self-adjoint Hamiltonian
- Self-adjoint extensions and spectral analysis in the Calogero problem
- Can singularities be avoided in quantum cosmology?
- Explicit time-dependent Schrodinger propagators
- Quantum Theory for Mathematicians
- Relational motivation for conformal operator ordering in quantum cosmology
- Feynman Integrals and the Schrödinger Equation
- Wave function of the Universe
- Factor ordering in standard quantum cosmology
- Quantum cosmological Friedman models with an initial singularity
- Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles