Quantum Cosmology Formalism and Techniques| Quantum Cosmology Formalism and Techniques |
In General
> s.a. BRST theory; geometrodynamics;
histories-based quantum theory; loop quantum cosmology;
regge calculus.
@ Path-integral approach:
Narlikar & Padmanabhan PRP(83);
Qin & Ma PRD(12)-a1110 [coherent-state path integrals, minisuperspace].
@ Formulations: Calzetta & Hu PRD(89) [phase-space formulation];
Khosravi et al GRG(10)-a0909 [canonical and deformed phase space].
@ WKB: Calzetta & González PRD(95)gq/94,
Cornish & Shellard PRL(98)gq/97 [and chaos];
Embacher gq/96 [interpretation].
@ Unitarity:
Lemos PRD(90) [and self-adjointness];
Linden & Perry NPB(91);
Barvinsky PRP(93);
Massar & Parentani PRD(99)gq/98.
@ Normalizability: Sarangi & Tye ht/05 [role of environment and decoherence].
@ Decoherence:
Halliwell PRD(89);
Padmanabhan PRD(89);
Habib & Laflamme PRD(90) [Wigner function, WKB, coarse-graining];
Kiefer CQG(91) [scalar in de Sitter space];
Laflamme & Louko PRD(91);
Whelan PRD(98)gq/96,
gq/97-TX18 [conformally flat];
Castagnino IJTP(99)gq/00;
Calzetta CQG(12)-a1205 [chaos and the WKB approximation];
> s.a. semiclassical general relativity
and semiclassical quantum gravity.
@ Conformal rotation: Hartle & Schleich in(87);
Schleich PRD(89) [Bianchi I].
@ Measure on superspace: Barvinsky NPB(89);
Gibbons & Turok PRD(08)ht/06;
Page JCAP(11)-a1103 [FLRW models with a scalar field and Λ > 0].
@ Time: Feinberg & Peleg PRD(95)gq [and Wheeler-DeWitt operator];
Thibeault & Simeone IJMPD(07) [and two-component formalism];
Husain & Pawłowski CQG(11)-a1108,
a1306-MG13
[with pressureless dust and additional matter, physical Hamiltonian].
@ Information-theoretic approaches: Parwani a1203-proc;
Bao et al a1702.
@ Other topics: Horowitz PRD(85);
Page IJTP(86) [size of universe];
D'Eath & Halliwell PRD(87) [fermions];
Fang & Mo PLB(87);
Hu in(88)gq/95 [condensed-matter ideas];
Vachaspati PLB(89);
Farhi et al NPB(90);
McGuigan PRD(90);
Conradi & Zeh PLA(91);
Calzetta & Kandus PRD(93) [observer dependence];
Laflamme CQG(93) [time-symmetric];
Halliwell & Ortiz PRD(93)gq/92 [composition laws];
Mena CQG(94) [reality conditions];
Halliwell PRD(01)gq/00 [with detectors];
Asselmeyer-Maluga & Król MPLA(13)-a1309
[S3 × \(\mathbb R\) with exotic smoothness structure];
Mielczarek a1404-GRF [Big Bang as a critical point].
> Other: see Baby Universes;
boundary conditions; canonical quantum gravity [including factor ordering];
cosmological constant; effective quantum field theory;
entropy; numerical relativity;
spacetime topology.
Third Quantization > s.a. cosmological
constant problem; multiverse.
* Idea: A "second quantized"
theory of ψ, considered as a field on superspace.
* Criticism: The wave function ψ
is not measurable in any sense, so this appears not to make sense [@ Unruh & Wald
PRD(89)].
@ References: McGuigan PRD(88);
Fischler et al NPB(89);
Giddings & Strominger NPB(89);
Hosoya PRD(89);
Strominger & Ellis PTRS(89);
Cline NPB(90);
Peleg CQG(91);
Pimentel & Mora PLA(01)gq/00 [Brans-Dicke model];
Robles-Pérez & González-Díaz PRD(10)-a1005;
Robles-Pérez JPCS(13)-a1211;
Kim a1212-proc
[FLRW cosmology, with N minimal massless fields];
Faizal PLB(13)-a1304 [fourth quantization];
Kim a1304-Univ [with a massive inflaton];
Faizal IJMPA(15)-a1503 [deformed theory].
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