Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe

被引:0
作者
Steven Carlip
机构
[1] University of California,Department of Physics
来源
Living Reviews in Relativity | 2005年 / 8卷
关键词
Quantum Gravity; Torus Universe; Reduced Phase Space Quantization; Spin Foam; Covariant Canonical Quantization;
D O I
暂无
中图分类号
学科分类号
摘要
In three spacetime dimensions, general relativity drastically simplifies, becoming a “topological” theory with no propagating local degrees of freedom. Nevertheless, many of the difficult conceptual problems of quantizing gravity are still present. In this review, I summarize the rather large body of work that has gone towards quantizing (2 + 1)-dimensional vacuum gravity in the setting of a spatially closed universe.
引用
收藏
相关论文
共 50 条
  • [41] Exact quantisation of U(1)3 quantum gravity via exponentiation of the hypersurface deformation algebroid
    Thiemann, T.
    CLASSICAL AND QUANTUM GRAVITY, 2023, 40 (24)
  • [42] NON-TRIVIAL 2+1-DIMENSIONAL GRAVITY
    Grigore, D. R.
    Scharf, G.
    ROMANIAN JOURNAL OF PHYSICS, 2013, 58 (5-6): : 583 - 598
  • [43] Monte Carlo renormalization of 2d simplicial quantum gravity coupled to Gaussian matter
    Gregory, EB
    Catterall, SM
    Thorleifsson, G
    NUCLEAR PHYSICS B, 1999, 541 (1-2) : 289 - 304
  • [44] Cosmological measurements, time and observables in (2+1)-dimensional gravity
    Meusburger, C.
    CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (05)
  • [45] Complete loop quantization of a dimension 1+2 Lorentzian gravity theory
    Barbosa, Rodrigo M. S.
    Constantinidis, Clisthenis P.
    Oporto, Zui
    Piguet, Olivier
    LOOPS 11: NON-PERTURBATIVE / BACKGROUND INDEPENDENT QUANTUM GRAVITY, 2012, 360
  • [46] Gauge fixing in (2+1)-gravity: Dirac bracket and spacetime geometry
    Meusburger, C.
    Schoenfeld, T.
    CLASSICAL AND QUANTUM GRAVITY, 2011, 28 (12)
  • [47] Spacetime Geometry in (2+1)-gravity via Measurements with Returning Lightrays
    Meusburger, C.
    PLANCK SCALE, 2009, 1196 : 181 - 189
  • [48] Quantizing models of (2+1)-dimensional gravity on non-orientable manifolds
    Chen, Si
    Witt, Donald M.
    Plotkin, Steven S.
    CLASSICAL AND QUANTUM GRAVITY, 2014, 31 (05)
  • [49] Towards Non-Commutative Deformations of Relativistic Wave Equations in 2+1 Dimensions
    Schroers, Bernd J.
    Wilhelm, Matthias
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2014, 10
  • [50] (2+1)-Dimensional Gravity Coupled to a Dust Shell: Quantization in Terms of Global Phase Space Variables
    Andrianov, A. A.
    Starodubtsev, A. N.
    Elmahalawy, Y.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2019, 200 (03) : 1269 - 1281