Semiclassical
Quantum Gravity| Semiclassical
Quantum Gravity |
In General > s.a. canonical quantum
gravity;
covariant quantum gravity [Minkowski and stability]; quantum
geometrodynamics [WKB approximation].
* Remark: The breakdown in the semiclassical approximation can be a coordinate-dependent
phenomenon.
@ General references: Barvinsky PLB(90)
[and Wheeler-DeWitt equation, unitarity]; Lifschytz et al PRD(96)gq/94 [canonical];
Schuller & Wohlfarth PLB(05)gq/04 [and
deformation
of general relativity]; Livine BJP(05)gq-in
[deformations and information]; Kiefer et al PRD(05)gq [supersymmetric
quantum gravity]; Hsu & Reeb a0803 [unitarity
and Hilbert space].
@ In euclidean quantum gravity: Magnon JMP(81)
[euclidean Levi-Civita as model for thermal fluctuations].
@ Spin foams: Magliaro et al CQG(08)-a0710 [with
flipped vertex]; > s.a. spin
foam [Barrett-Crane model].
> Related topics: see effective
action.
Weave States in Loop Quantum Gravity > s.a. critical phenomena; renormalization.
* Idea: Weaves are kinematical
states of quantum gravity which are simultaneous eigenstates of volume and
area operators, and are meant to approximate classical
geometries;
Loops need to intersect for volumes not to vanish.
@ Flat space: Ashtekar et al PRL(92)
[single loops]; Ashtekar in(93); Corichi & Reyes IJMPD(01)gq/00;
Conrady CQG(05)gq/04;
Shao et al IJTP(08)
[Gaussian weave, metric operator].
@ Gravitons: Zegwaard NPB(92); Iwasaki & Rovelli IJMPD(93),
CQG(94); Iwasaki
gq/98.
@ Curved metrics: Borissov PRD(94)
[plane waves]; Zegwaard PLB(93),
CQG(93); Iwasaki gq/95 [Kerr-Newman].
@ Related topics: Grot & Rovelli GRG(97)
[with intersecting loops]; Varadarajan & Zapata CQG(00)gq;
Ma & Ling
PRD(00)gq [degenerate
metrics]; Ashtekar & Lewandowski CQG(01)gq [and
Fock states]; Rovelli & Speziale CQG(06)gq [tetrahedron].
Semiclassical States and Continuum Limit > s.a. loop
quantum gravity and topological field theories [Kodama
state];
FRW models; minisuperspace.
* Continuum limit: From
renormalization group arguments, for it to exist the theory should have critical
behavior.
@ Continuum limit: Smolin gq/95 [critical
phenomena],
gq/96; Kauffman & Smolin
LNP(00)ht/98 [non-equilibrium
critical phenomena]; Bojowald CQG(01)gq [loop
quantum cosmology]; Ashtekar et al CQG(03)gq/02 [quantum
mechanical model].
@ Recovering classical spacetime: de Souza & Silveira gq/99 [general
relativity]; Tsushima gq/02/PRD
[Gaussian state, 
metric
];
Bojowald et al PRD(04)gq [coordinate
time and length scales].
@ Coherent states: Thiemann CQG(01)ht/00, & Winkler
CQG(01)ht/00,
CQG(01)ht/00,
CQG(01)ht/00;
Sahlmann et al NPB(01)gq;
Thiemann CQG(06)gq/02;
Dasgupta JCAP(03)ht [around
Schwarzschild]; Bojowald PRD(07)gq [dynamical,
for quantum cosmology bounces]; Robles-Perez et al a0709 [dark
energy model]; Bahr & Thiemann a0709 [gauge-invariant,
U(1)], a0709 [gauge-invariant,
SU(2)]; > s.a. FRW
models.
@ Statistical geometry: Bombelli gq/01-MG9.
@ Other proposals: Arnsdorf gq/99 [semiclassical
connections]; Sharatchandra & Gadiyar
gq/00 [fitting
area and length bits]; Zimmermann gq/00-in
[entangled ensembles];
Mikovic CQG(04)gq,
erratum CQG(06)gq [flat
spacetime]; Koslowski a0709 ["condensate"
of quantum geometry].
@ Corrections to classical dynamics: Schuller & Wohlfarth PLB(05)
[accelerating universe,
R–1 term]; > s.a. modified
newtonian
gravity.
@ With matter: Ita gq/07 [Klein-Gordon
scalar, Kodama-like state]; > s.a. boundary conditions [Hartle-Hawking's
no-boundary].
Specific Spacetimes and Phenomenology > s.a. quantum
cosmology [decoherence]; quantum gravity
phenomenology [including stability].
@ Black holes: Kiefer NPPS(97)gq [semiclassical
states]; Frasca GRG(05)ht/04
[Schwarzschild, Bohr-Sommerfeld]; Dasgupta CQG(06)gq/05;
Dasgupta
& Thomas gq/06 [state
degeneracy and entropy]; Cartin & Khanna PRD(06)
[Schwarzschild interior]; Gambini & Pullin a0805 [complete
Schwarzschild]; > s.a. quantum
black holes.
@ In quantum cosmology: Sinha & Hu PRD(91)
[limits of validity of minisuperspace aproach]; Kim CQG(96)gq [FRW
+ scalar]; Pollock PLB(99)
[FRW, from superstrings]; Appignani & Casadio a0711 [asymptotic freedom].
@ And inflation: Vereshchagin JCAP(04)gq,
NCB(07);
Lidsey et al PRD(04)gq,
Mulryne et al PRD(05)ap [lqg,
oscillations]; Alberghi et al a0708 [massless scalar in dS, dispersion relations
from Born-Oppenheimer approximation]; > s.a. inflationary
models.
@ Homogeneous, isotropic: Lidsey JCAP(04)gq [lqg,
cyclic]; Mulryne et al IJMPA(05)gq/04;
Tan & Ma CQG(06)gq; > s.a. frw
models.
@ Bianchi models: Imponente & Montani IJMPD(03)gq/04 [chaos
and semiclassical
quantum gravity].
> Other models: see de
sitter spacetime; Stephani Model.
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
5
jul 2008