Semiclassical Quantum Gravity| Semiclassical Quantum Gravity |
In General
> s.a. canonical and covariant quantum gravity [Minkowski and stability];
effective action; quantum geometrodynamics [WKB approximation].
* Idea: A sector of quantum
gravity in which the probability distributions for values of all operators
in a complete set of geometrical operators are sharply peaked around values
corresponding to a classical geometry; This is usually taken to be necessary
in order for the theory to make contact with reality.
@ General references: Lifschytz et al PRD(96)gq/94 [canonical];
Schuller & Wohlfarth PLB(05)gq/04 [and deformation of general relativity];
Livine BJP(05)gq-proc [deformations and information];
Kiefer et al PRD(05)gq [supersymmetric quantum gravity];
Hsu & Reeb CQG(08)-a0803 [unitarity and Hilbert space];
Bojowald et al PRD(11)-a1011 [quantum back-reaction by fluctuations];
Bradonjić a1104-GRF
[the low-energy limit may not be general relativity];
Magueijo & Bethke a1207
[new "ground state" for quantum gravity and non-semiclassical nature of physical spacetime].
@ And the Wheeler-DeWitt equation:
Barvinsky PLB(90) [unitarity];
Kiefer & Wichmann GRG(18);
Kamenshchik et al a2104
[Born-Oppenheimer approximation, Wigner function and emergence of time].
@ Lqg: Neville a0807 [spin networks];
Lin PhD-a0912 [and general relativity];
Smolin a1001 [and Newton's law of gravity];
Koslowski & Sahlmann Sigma(12)-a1109 [non-degenerate geometries];
Lin CQG(12)-a1111 [emergence of general relativity];
Bojowald & Paily PRD(12)-a1112 [effective actions and consequences];
Haggard et al PRD(13)-a1211 [twisted geometry, spin connection];
de Vegvar a1308/CQG [coherent states and length scales];
Han PRD(14) [covariant lqg and high-curvature UV corrections];
Alesci & Cianfrani PRD(14);
Hamma et al PRD(18)-a1506 [single-link wavefunctions and area law];
in Bianchi et al PRD(16)-a1609 [loop expansion];
Sahlmann & Seeger PRD(20)-a1906 [U(1) holonomy-flux algebra toy model].
@ Lqg, asymptotically flat: Sengupta CQG(14)-a1309;
Campiglia & Varadarajan CQG(14)-a1311,
CQG(15)-a1412
+ CQG+(15)aug.
@ 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];
Bianchi & Satz NPB(08)-a0808 [and Regge calculus];
Conrady & Freidel PRD(08)-a0809 [Riemannian];
Miković & Vojinović a1010,
a1103,
CQG(11)-a1104 [background-field method, effective action];
Magliaro & Perini IJMPD(13)-a1105 [Regge gravity];
Dupuis & Livine JPCS(12)-a1111 [and simplicity constraints for topological BF theory];
Han CQG(14)-a1304 [large-spin regime],
PRD(13)-a1304 [small Barbero-Immirzi parameter];
Han PRD(17)-a1705,
Han et al PRD(19)-a1812 [emergence of general relativity];
Gozzini et al a1909-CQG [numerical method];
Asante et al a2011 [effective spin foams];
> s.a. spin-foam models; Barrett-Crane Model.
@ In other approaches / theories: Giesel & Thiemann CQG(07)gq/06,
CQG(07)gq/06 [algebraic quantum gravity];
Aastrup et al CMP(11)-a0907 [spectral triple over holonomy loops];
Kuzmichev & Kuzmichev a0910 [geometrodynamical, extremely small scales];
Aastrup & Grimstrup a0911 [lattice lqg];
Aastrup et al CQG(11)-a1012 [with matter, spectral triple approach];
Kiefer & Nikolić a1612-fs [Weyl gravity];
> s.a. semiclassical gravity;
classical limit of quantum theory.
Weave States in Loop Quantum Gravity > s.a. loop quantum gravity
/ 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];
> s.a. models in canonical quantum gravity.
@ Related topics: Grot & Rovelli GRG(97) [with intersecting loops];
Varadarajan & Zapata CQG(00)gq ["macroscopic'' operators];
Ma & Ling PRD(00)gq [degenerate metrics];
Ashtekar & Lewandowski CQG(01)gq [and Fock states];
Rovelli & Speziale CQG(06)gq [tetrahedron].
Semiclassical States / Continuum Limit
> s.a. loop quantum gravity and topological field
theories [Kodama state]; modified newtonian gravity.
* Continuum limit: From renormalization
group arguments, for it to exist the theory should have critical behavior.
@ Continuum limit: Smolin LNP(95)gq [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];
Dittrich a1409-in,
Wieland a1804 [of lqg].
@ Recovering classical spacetime: de Souza & Silveira gq/99 [general relativity];
Tsushima gq/02/PRD [Gaussian state, \(\langle\)metric\(\rangle\)];
Bojowald et al PRD(04)gq [coordinate time and length scales];
Freidel et al PRD(09)-a0905 [3D Boulatov model];
Kempf PRL(09)-a0908 [sampling spacetime with ultraviolet cutoff];
> s.a. geometrical operators.
@ Quantum corrections to general relativity: Cognola et al PRD(13)-a1304 [Gauss-Bonnet entropic corrections].
@ 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-Pérez et al a0709 [dark energy model];
Bahr & Thiemann CQG(09)-a0709 [gauge-invariant, U(1)],
CQG(09)-a0709 [gauge-invariant, SU(2)];
Neville a0807,
a0807 [planar];
Flori & Thiemann a0812 [flux coherent states];
Flori a0904 [re area-complexifier coherent states];
Bianchi et al PRD(10)-a0912;
Freidel & Livine JMP(11)-a1005 [U(N) coherent states];
Oriti et al JPA(12)-a1110 [flux representation];
Oriti et al CQG(12)-a1202;
Pittelli & Sindoni a1301 [and modified heat equations];
Ita & Soo AP(15)-a1408
[minimum-uncertainty, Gaussian solutions of the Wheeler-DeWitt equation and the Yamabe construction];
Schliemann PRA(15)-a1503 [properties of fluctuations];
Girelli & Sellaroli JMP(17)-a1701 [SO*(2N) coherent states];
Assanioussi PRD(18)-a1805,
a2004 [graph coherent states];
Calcinari et al CQG-a2009 [twisted geometries];
Long et al a2105 [superposition type];
> s.a. minisuperspace [affine coherent states];
semiclassical quantum cosmology; types of coherent states.
@ Statistical geometry:
Bombelli gq/01-MG9 [random weave states];
Bombelli et al CQG(09)-a0905 [manifolds from graphs];
Díaz-Polo & Garay CQG(14)-a1308 [curvature from Voronoi graphs].
@ Condensate states: Koslowski a0709;
Gielen CQG(14) [example, semiclassicality in terms of large-scale observables];
Oriti et al CQG(15)-a1501;
Hamber Symm(19)-a1707 [gravitational vacuum condensate].
@ Other proposals:
Arnsdorf gq/99 [semiclassical connections];
Sharatchandra & Gadiyar gq/00 [fitting area and length bits];
Zimmermann gq/00-conf [entangled ensembles];
Miković CQG(04)gq,
erratum CQG(06)gq [flat spacetime];
Cirilo-Lombardo & Prudêncio IJGMP(14)-a1309 [physics from supergeometries];
Chirco et al CQG(15)-a1408 [thermally correlated states].
@ With matter: Ita CQG(08)gq/07,
CQG(08) [Klein-Gordon scalar, Kodama-like state];
Laddha & Varadarajan PRD(08)-a0805 [2D model];
Giesel et al a0911,
Stottmeister & Thiemann JMP(16)-a1504,
JMP(16)-a1504,
JMP(16)-a1504
[recovering quantum field theory on curved spacetimes, and Born-Oppenheimer decomposition];
> s.a. quantum field theory on curved backgrounds.
Phenomenology and Specific Spacetimes
> s.a. quantum-gravity phenomenology; semiclassical
quantum cosmology; gravitational thermodynamics.
@ Matter phenomenology:
Smolin a0808 [effective deformed special relativity];
Major JPCS(12)-a1112 [angle and semiclassical states].
@ Schwarzschild black hole: Frasca GRG(05)ht/04 [Bohr-Sommerfeld];
Cartin & Khanna PRD(06) [interior];
Gambini & Pullin PRL(08)-a0805 [complete spacetime];
Ben Achour et al EPL(18)-a1803 [loop quantum deformation].
@ Black holes: Kiefer NPPS(97)gq [semiclassical states];
Dasgupta CQG(06)gq/05;
Dasgupta & Thomas gq/06 [state degeneracy and entropy];
Modesto IJTP(10)-a0811 [spacetime structure];
Husain & Terno PRD(10)-a0903 [gravity + scalar collapse];
Dasgupta Sigma(13)-a1203 [thermodynamics];
Nomura et al JHEP(15)-a1412 [limitations of semiclassical descriptions];
Bojowald et al PRD(18)-a1803 [effective line elements];
> s.a. quantum black holes.
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