Types of Approaches to Quantum Gravity| Types of Approaches to Quantum Gravity |
Group Field Theory > s.a. deformed special relativity;
renormalization; tensor networks.
@ General references: Oriti JPCS(06)gq/05,
in(09)gq/06;
Freidel IJTP(05)ht;
Ryan gq/06 [new proposal];
Oriti JPCS(07)ht/06,
a0709-proc,
a0710-proc;
Oriti CQG(10)-a0902 [and simplicial quantum gravity],
JPCS(09)-a0903;
Oriti & Tlas CQG(10)-a0912 [simplicial quantum geometry];
Oriti a0912-proc [rev];
Oriti & Sindoni NJP(11)-a1010-in [hydrodynamics, and classical geometrodynamics];
Vitale PoS-a1103
[relationship with discretized BF models];
Livine et al CQG(11)-a1104 [and the canonical Hamiltonian constraint];
Oriti a1110-ch [introduction];
Baratin & Oriti JPCS(12)-a1112 [non-technical];
Vitale AIP(12)-a1203 [rev];
Carrozza PRD(15)-a1411 [in dimension 4 – ε];
Kotecha & Oriti NJP(18)-a1801 [Gibbs states];
Wilson-Ewing PRD(19)-a1810 [relational Hamiltonian];
Oriti a1811 [I];
Carrozza et al Univ(20)-a2001 [overview].
@ And lqg / lqc: Oriti & Tlas CQG(08)-a0710 [unifying framework for lqg and simplicial quantum gravity];
Oriti CQG(16)-a1310
& CQG+ [as the 2nd quantization of lqg];
Oriti a1408-in [lqg];
Oriti et al NJP(15)-a1409 [for the whole loop quantum gravity state space].
@ Quantum cosmology: Gielen et al PRL(13)-a1303;
Calcagni PRD(14)-a1407 [lqc];
Gielen & Sindoni Sigma(16)-a1602;
Gielen CQG(16)-a1604 [from GFT condensate];
de Cesare et al PRD(16)-a1606 [cyclic universe and accelerated expansion];
Oriti a1612-CRP [intro];
de Cesare et al CQG(18)-a1709,
Gielen & Oriti PRD(18)-a1709 [cosmological perturbations];
Baytaş et al Univ(19)-a1811 [and lqc];
Pithis & Sakellariadou Univ(19)-a1904 [rev].
@ With matter: Li et al CQG(17)-a1703 [scalar field];
Gielen a1808 [in a matter reference frame].
@ Related topics: Pithis & Thürigen a1808 [phase transitions, Landau perspective].
Other Approaches
> s.a. emergent gravity; physical theories;
non-commutative gravity; spacetime topology;
stochastic quantum mechanics; quaternions.
@ Conformal factor:
Padmanabhan PRD(83),
PRD(83);
Bleecker CQG(87);
Floreanini & Percacci NPB(95) [effective potential];
Antoniadis et al PRD(97)ht/95,
PRD(97)ht/95;
in Burdet & Perrin gq/97;
Shojai et al MPLA(98)gq/99;
Shojai IJMPA(00)gq [??];
't Hooft a1009 [integrating over the conformal factor first];
Hamada PRD(12).
@ Geodesic distance, metric uncertainty:
Diósi & Lukács PLA(89);
Álvarez et al PLB(92) [geodesic distance as variable],
PRD(92) [quantum metric space];
Maggiore PLB(93)ht;
Chiang et al PRD(16)-a1512 [spacetime interval operator];
Padmanabhan MPLA(20)-a1911;
> s.a. world function.
@ Covariant Hamiltonian: Kanatchikov gq/98-proc,
gq/99,
IJTP(01)gq/00 [de Donder-Weyl];
Aleksandrov TMP(04) [covariant lqg].
@ Theory of embeddings: Pavšič CQG(85)-a1403,
FP(96)gq/95,
G&C(96)gq/95;
Hájíček & Kiefer NPB(01)ht/00 [spherical shell];
Park ATMP(18)-a1406 [hypersurface foliation].
@ And spinor fields: Lisi gq/02;
Galehouse in(04)mp/02;
Kober PRD(09)-a0812;
Hughes & Randono a1105 [is geometry bosonic or fermionic?];
Vladimirov & Diakonov PRD(12)-a1208 [phase transitions in spinor quantum gravity on a lattice];
> s.a. canonical quantum gravity; spin networks.
@ Local: Noldus a1101;
Larsson a1407
[diffeomorphism symmetry, unitarity, and locality postulated];
Palmer a1709.
@ Quasilocal: Conrady et al PRD(04)gq/03 [vacuum].
@ Based on fluctuations: Zakir ht/98,
ht/99;
Hu IJTP(02)gq [kinetic theory of fluctuations];
Hall GRG(05) [from "exact uncertainty"];
Succi IJMPC(12)-a1111 [Kolmogorov scaling theory, turbulence, and fractal spacetime];
> s.a. quantum spacetime; stochastic quantization.
@ Newtonian: Hansson PE(10)gq/06;
Bramson PRS(07) [axisymmetric, spinning systems].
@ Algebraic methods: Crane JMP(95)gq;
Tanasa CQG(10)-a0909;
Martins IJMPA(13)-a1003 [overview];
Etesi ATMP(16)-a1402 [and orientation-preserving diffeomorphism group];
Giddings JHEP(15)-a1503 [Hilbert space structure, non-locality and entanglement];
Araya-Gochez a1601 ["quantum ring theory"];
Rejzner IJMPD(16)-a1603-MG14 [perturbative];
Freidel et al a2007 [corner symmetry algebra].
@ Renormalizable theory proposals:
Krasnov ht/06 [non-metric];
Wiesendanger JModP(14)-a1308 [gauge theory of volume-preserving diffeomorphisms],
CQG(19)-a1806 [gauge theory of the Lorentz group].
@ And gauge theory: Ragiadakos a1204-GRF [Lorentzian complex structure of spacetime];
Hanada a1407-conf
[gauge-gravity duality and super Yang-Mills theory];
> s.a. covariant quantum gravity;
types of gauge theory [higher gauge theory].
@ Precanonical quantization: Kanatchikov NPPS(00)gq,
IJTP(01)gq/00,
AIP(13)-a1212,
NPCS-a1407,
a1512-MG14;
> s.a. approaches to canonical qg.
@ Related topics: Banks NPB(85);
Gotay CQG(86);
Casher PLB(87);
Kleinert PLB(87);
Kocharovsky & Kocharovsky FP(87);
Balbinot et al PRD(90) [and adiabatic phase];
Myers CQG(92) [unbounded action];
Greensite PRD(94)gq/93 [transfer matrix formalism];
Galehouse qp/94;
Modanese NPB(95) [potential energy];
Prugovečki in(96)gq/95 [quantum frame bundles];
Federbush ht/99;
Dzhunushaliev & Singleton Ent(02)gq/01 [and complexity];
Nishikawa ht/02-conf [minimal assumptions];
Minic & Tze PLB(04)ht/03,
ht/04-proc;
Moffat gq/04 [in momentum space];
Jejjala et al IJMPD(04)gq [??];
Iftime DGDS-gq/07;
Nassif a0709 [at large length scales];
Finkelstein IJTP(08) [homotopy];
Glinka G&C(10)-a0808;
Darabi a0809 [phenomenological];
Yang MPLA(10)-a1007;
Yang a1111-proc ["background-independent"];
Takook & Rouhani a1208 [Krein space quantization];
Palmer a1210 ["gravitational theory of the quantum"];
news ns(13)may [Weinstein's theory of everything];
Salvio & Strumia JHEP(14)-a1403,
EPJC(18)-a1705 [without scales, "agravity"];
Sutherland a1502
["naive", using final boundary conditions];
Mandrin a1505 [non-dynamical approach, NDA];
Walstad a1507 [from special relativity and quantum theory];
Horndeski a1508 [with gravitons as holes in space];
Arbuzov et al PAN(17)-a1511 [Von Neumann's procedure];
> s.a. decomposition; Dirac Sea;
duality [gauge-gravity, surface-state]; holography
in gravitation; renormalization and asymptotic safety;
Third Quantization.
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