Comparative quantizations of (2+1)-dimensional gravity

Nov, 1994
23 pages
Published in:
  • Phys.Rev.D 51 (1995) 5643-5653
e-Print:
Report number:
  • UCD-94-37,
  • DFTT-49-94

Citations per year

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Abstract: (DESY)
We compare three approaches to the quantization of (2+1)-dimensional gravity with a negative cosmological constant: reduced phase space quantization with the York time slicing, quantization of the algebra of holonomies, and quantization of the space of classical solutions. The relationships among these quantum theories allow us to define and interpret time-dependent operators in the ``frozen time'' holonomy formulation.
  • quantum gravity
  • dimension: 3
  • general relativity
  • cosmological constant
  • quantization: phase space
  • algebra: holonomy
  • space-time