On the Dirac Quantization of two Dimensional Gravity
M.C.B. Abdalla, F.P. Devecchi, E. Abdalla
TL;DR
This paper explores the Dirac quantization process for two-dimensional gravity coupled with bosonic matter, providing a complete gauge fixing and deriving explicit commutator relations.
Contribution
It offers a detailed analysis of the Dirac quantization procedure in 2D gravity with explicit commutator calculations and gauge fixing.
Findings
Closed-form commutators derived
Complete gauge fixing achieved
Insights into quantization of 2D gravity
Abstract
We discuss the Dirac quantization of two dimensional gravity with bosonic matter fields. After defining the extended Hamiltonian it is possible to fix the gauge completely. The commutators can all be obtained in closed form; nevertheless, the results are not particularly simple.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Cosmology and Gravitation Theories