Yang-Mills analogues of the Immirzi ambiguity
arXiv:gr-qc/9801055 · doi:10.1103/PhysRevD.59.047505
Abstract
We draw parallels between the recently introduced ``Immirzi ambiguity'' of the Ashtekar-like formulation of canonical quantum gravity and other ambiguities that appear in Yang-Mills theories, like the ambiguity. We also discuss ambiguities in the Maxwell case, and implication for the loop quantization of these theories.
arXiv comment5 pages, revtex, no figures
References in corpus (14)
- Discreteness of area and volume in quantum gravity
- Quantum Geometry and Black Hole Entropy
- Quantum Theory of Gravity I: Area Operators
- Real Ashtekar Variables for Lorentzian Signature Space-times
- Black Hole Entropy from Loop Quantum Gravity
- Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
- Real and complex connections for canonical gravity
- The physical hamiltonian in nonperturbative quantum gravity
- The Immirzi parameter in quantum general relativity
- Counting surface states in the loop quantum gravity
- On Quantum Statistical Mechanics of a Schwarzschild Black Hole
- Physics with nonperturbative quantum gravity: radiation from a quantum black hole
- A Loop Representation for the Quantum Maxwell Field
- Loop Variables for compact two-dimensional quantum electrodynamics
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- Generalized Ashtekar variables for Palatini f(R) models
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