Lattice Gravity

Classical Version > s.a. [gravity]; discrete geometry; teleparallel; {& DeWitt}.
@ General references: Lindquist & Wheeler RMP(57); Brewin CQG(98)gq/97 [ADM].
@ Connection and related variables: Boström et al gq/93 [discretization].
@ Consistent discretizations: Gambini & Pullin gq/01-in, GRG(05)gq-GRF [classical and quantum].
@ Other discretizations: de Albuquerque et al PRL(03)ht, MPLA(03)ht-in [Euclidean, non-commutative spectral principle dynamics]; Gambini & Pullin gq/05-in, gq/05-in.
@ On a triangulation: Ko & Rocek JHEP(06)ht/05, ht/06-in [effective action and variation]; > s.a. regge calculus.
@ 2+1: Criscuolo & Waelbroeck gq/96 [constant curvature].
@ Continuum limit: Feinberg et al NPB(84) [and fundamental nature].
@ Related topics: Wheater JPA(94) [random surfaces and strings in various dimensions]; Gionti CQG(05)gq [Poincaré-invariant, first-order].

Quantum version > s.a. canonical quantum gravity; discrete spacetime; quantum regge calculus; spin foam; spin networks.
@ Reviews: Krzywicki APPB(96)hl/95 [euclidean]; Loll gq/97-in, LRR(98)gq; Loll NPPS(01)ht/00-in [lorentzian].
@ Connection/loop representation: Loll ACosm(95)gq, NPPS(97)gq, gq/97-in; Loll CQG(98)gq/97 [algebra of diffeomorphism constraints]; Fort et al PRD(97)gq/96.
@ Consistent discretization: Gambini & Pullin PRL(03)gq/02 [canonical formalism], CQG(03)gq/02 [and cosmology], Pra(04)gq, gq/04-in [canonical quantum gravity].
@ Continuum limit: Vergeles ht/06 [and state doubling problem].
@ Related topics: Greensite PLB(91) [minimum length from lattice regularization]; Corichi & Zapata NPB(97)gq/96 [diffeomorphism invariance]; Malyshev gq/01 [and Gibbs measure].

Other Theories > s.a. discrete geometries; lattice field theory and gauge theory.
@ Various theories: Zubkov PLB(04)hl/03 [teleparallel].

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Send feedback and suggestions to bombelli at olemiss.edu – Modified 27 jun 2008