2-Dimensional Quantum Gravity |
Based on General Relativity
> s.a. 2D gravity, quantum gravity / modified
general relativity [strong coupling limit]; regge calculus.
* Lorentzian vs Euclidean:
The non-perturbative path integral can be computed exactly, and one sees that
the two theories yield completely different results; The causal structure
seems to play an important role.
@ Reviews: Kummer gq/05-conf.
@ General references: Rajeev PLB(82);
Martinec PRD(84) [+ scalar matter];
Hartle CQG(85);
Knizhnik et al MPLA(88) [fractal structure];
Awada & Chamseddine PLB(89) [partition function];
Isler & Trugenberger PRL(89);
Polchinski NPB(89);
D'Hoker MPLA(91) [and Liouville];
Weis PhD(97)ht/98 [topological];
Ambjørn et al PLB(06)gq [and emergence of background geometry].
@ Canonical:
Banks & Susskind IJTP(84) [synchronous gauge];
McKeon CQG(06).
@ Canonical, with matter: Vergeles JETP(00)gq/01 [scalar + Majorana field];
Mann & Young CQG(07)gq/06 [particles].
@ Lorentzian vs Euclidean: Ambjørn & Loll NPB(98)ht;
Aldaya & Jaramillo CQG(00)gq/99;
Ambjørn et al CSF(99)ht/98,
PLB(00)ht/99.
@ Path integral: Muslih GRG(04) [Hamilton-Jacobi based];
> s.a. regge calculus [measure].
@ Path integral, Lorentzian: Loll et al NPPS(00)ht/99;
Loll & Westra CQG(06)ht/03,
APPB(03)ht-proc [sum over topologies].
@ Spin foam: Livine et al CQG(03)gq/01 [manifold-independent];
Oriti et al CQG(05)gq/04 [as constrained BF theory].
@ Other approaches: Benedict PLB(94)gq [gauge theory and geometrical methods];
Benedict et al PRD(96) [functional Schrödinger and BRST];
Lavrov & Moshin CQG(99) [BV and BLT, with torsion].
@ Simulations: Ambjørn et al PRD(99)ht [with matter],
PRD(00)hl/99 [with conformal field theory, phase transitions].
@ With Ising matter:
Bowick et al PLB(97) [Hausdorff dimension].
@ With cosmlogical constant: Govaerts ht/02 [cosmological constant quantization];
Govaerts & Zonetti CQG(11)-a1102 [and scalar matter].
Related Topics
> s.a. 2D black holes; spacetime topology.
@ Time: Ambjørn et al JHEP(98)ht [and fractal dimension];
Ambjørn et al a0911-proc [proper time is stochastic time].
@ Branched polymer phase: Jonsson & Wheater NPB(98) [spectral dimension].
@ Other topics: Ambjørn et al JHEP(99)hl/98 [correlations and order],
PLB(06) [fluctuations and background geometry];
Gliozzi PRL(11) [from quantum entanglement in a spin chain];
Codello & D'Odorico PRD(15)-a1412 [scaling and renormalization].
Dilaton Theories
> s.a. 2D gravity / dilaton theories.
@ General references:
Seiler & Tucker PRD(96) [reduced phase space];
Louis-Martinez PRD(97) [exact states];
Grumiller & Kummer gq/03-proc [background-independent].
@ Dirac quantization: Louis-Martinez et al PLB(94)gq/93;
Kuchař et al PRD(97)gq/96 [collapse];
Laddha CQG(07)gq/06,
CQG(07) [polymer quantization of CGHS model].
@ Path integral: Kummer et al NPB(97)gq/96;
Kummer et al NPB(98)ht/97,
NPB(99)ht/98,
Grumiller PhD(01)gq [with scalar matter];
Meyer ht/06-MGXI [with Dirac fields];
Bergamin & Meyer a0711-proc [with boundary].
@ Trace anomaly: Bousso & Hawking PRD(97)ht,
comment Kummer et al PRD(98)ht.
Other Theories
> s.a. 2D gravity; Liouville
Theory; non-commutative field theory.
@ General references: Strobl PRD(94) [R2 gravity + Yang-Mills];
Amelino-Camelia et al PLB(95)ht [area-preserving diffeomorphisms and anomalies];
Cherkas & Kalashnikov GRG(12)-a1107 [inhomogeneous model].
@ Jackiw-Teitelboim theory:
Constantinidis et al PRD(09)-a0812;
Iliesiu et al a1905;
Cotler et al a1905;
Mertens & Turiaci JHEP(19)-a1904 [defects].
@ Related topics:
Polyakov & Zamolodchikov MPLA(88) [fractal structure];
Sengupta CQG(14)
[asymptotically flat, parametrized scalar field];
Rotondo & Nojiri MPLA(17)-a1703 [discrete toy model].
main page
– abbreviations
– journals – comments
– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 8 sep 2019