In General > s.a. BF theory; clifford
algebra; newton-cartan
theory; Non-Symmetric
Gravity; theories of gravitation.
@ Strong-coupling limit: Henneaux et al PLB(82);
Pilati PRD(82); PRD(83);
Francisco & Pilati PRD(85);
Rovelli PRD(87);
Husain CQG(88);
Kakas CQG(89)
[matter]; Gamboa PRL(95)
[2D]; Maeda & Sakamoto PRD(96)ht [expansion];
Sakamoto PRD(09)-a0905 [renormalized,
and z = 2 Lifshitz point]; > s.a. modified
general relativity [classical].
@ Scalar-tensor theory: Pimentel & Mora gq/00 [Bergmann-Wagoner
theory]; > s.a. renormalization.
@ Modified dynamics: Smolin CQG(92)
[G → 0];
Wang JPCS(06)gq/05 [conformally
symmetric]; Broda et al PLB(07)
[abelian theory].
@ Other dimensions: Bjerrum-Bohr NPB(04)ht/03 [D →
];
Nieto
a0704 [8D, background-independent
Kaluza-Klein à la lqg]; > s.a. 2D and 3D
quantum gravity; regge
calculus.
> Other theories of gravity:
see classical theories
of gravity; Horava-Lifshitz Gravity; quantum cosmology [varying
constants].
Linearized Gravity > s.a. [perturbations]; canonical and covariant
quantum gravity.
@ Approaches: Ashtekar et al PRD(91) [lqg]; Grigore CQG(00)ht/99;
Shojai & Shojai PS(03)gq [Bohmian
approach]; Quevedo & Tafoya GRG(05)gq/04 [deformation];
Bomstad & Klauder CQG(06)gq [projection
operator].
@ Ground state: Kuchar JMP(70)
[canonical];
Hartle PRD(84)
[Euclidean path integral].
@ Gravitons: Varadarajan PRD(02)gq [loop
and Fock
space]; Speziale JHEP(06)gq/05 [2-point
function from spin foam, 3D model]; > s.a. quantum
field theory
in curved spacetime [graviton].
@ Around FRW backgrounds: Ford & Parker PRD(77);
Bojowald et al PRD(08)-a0806 [in
lqg].
@ Related topics: Moncrief GRG(79)
[linearization instabilities]; > s.a. quantum
regge calculus.
Higher-Order Theories > s.a. classical
higher-order theories; covariant
quantum gravity [stability of Minkowski].
* Results: It is renormalizable
and asymptotically free [@ Tomboulis], but non-unitary (due to quartic
terms
in R2 that give ghosts
in the propagators) and with H unbounded below [@ Stelle, etc].
@ General references: Mazzitelli PRD(92),
Tomboulis PLB(96)ht [relationship
with general relativity, and renormalization]; Asorey et al IJMPA(97);
Mielke PRD(08)-a0707 [topological
action]; Deser PRL(09) [3D ghost-free, UV-finite theory].
@ Renormalization: Utiyama & DeWitt JMP(62);
Stelle PRD(77);
Fukuma & Matsuura PTP(02); de
Berredo-Peixoto & Shapiro PRD(05)ht/04 [Gauss-Bonnet
term, 4–
]; Chaves
a0808 [with quadratic
terms]; >
s.a. renormalization of quantum gravity [UV fixed points].
@ Around de Sitter: Cognola et al JCAP(05)ht,
Cognola & Zerbini JPA(06)in
[one-loop covariant f(R)
gravity].
@ In quantum cosmology: Hawking & Luttrell NPB(84);
van Elst et al
CQG(94)gq [R + R3 action];
Pimentel et al CQG(97)
[pure R2 action];
Davis
GRG(00)
[string-motivated]; Fabris & Reuter GRG(00);
Sanyal & Modak PRD(01)gq,
CQG(02)gq/01 [R + R2 action];
Shojai & Shojai GRG(08)-a0801 [spatially
flat]; Tkach MPLA(09)-a0808 [ghost-free
theory and hierarchy problem].
@ FRW minisuperspace: Sanyal PLB(02)gq [Schrödinger
equation
and interpretation].
@ Related topics: Accioly et al IJTP(00)
[propagator]; Kleidis et al PLB(02)ht [with
massive scalar]; > s.a. approaches [asymptotic safety].
> Related topics:
see Hierarchy Problem;
path-integral quantum gravity;
quantum gravity; semiclassical quantum
gravity.
Approaches Based on Different Frameworks > s.a. non-commutative
geometry; quantum spacetime.
* Possibilities: Modify
the underlying structure, such as (i) Twistors; (ii) Algebraic approaches,
quantum groups, non-commutative geometry; (iii) Finkelstein and other fundamentally
quantum approaches (plexars, quantum topology); (iv) Posets, as finite spatial
topologies, or as causal sets; (v) Fundamentally discrete approaches.
@ From space of histories: DeWitt & Molina-Paris MPLA(98)ht.
@ Bohm / pilot-wave theory: Shtanov PRD(96)gq/95;
Goldstein & Teufel qp/99-in;
Shojai PRD(99)gq, & Golshani IJMPA(98), IJMPA(98)gq/99, & Shojai CQG(04)gq/03;
Santini PhD(00)gq
[canonical quantum gravity]; Pinto-Neto & Santini GRG(02);
Kenmoku et al CQG(02)
[3D spherical]; Shojai & Shojai gq/04-in
[lqg]; Shojai et al IJMPA(05)gq [Einstein
universe]; Carroll TMP(07)
[fluctuations and entropy]; > s.a. canonical quantum
gravity.
@ And other hidden variables: 't Hooft CQG(99)gq [information
dissipation].
@ And spectral geometry: Esposito 98-ht/97, ht/97-in, CM(05)ht/03-in
[Euclidean]; Booss-Bavnbek et al Sigma(07)-a0708 [rev];
Kempf & Martin PRL(08)-a0708 [information
theory and cutoffs].
@ Causality-based: Schorn CQG(97), CQG(97);
Rainer IJTP(00)gq/97, CQG(00)gq/99 [algebraic];
Hardy gq/05, JPA(07)gq/06-in, a0804-in
["causaloids"]; Christensen & Crane JMP(05)
[causal sites]; Markes & Hardy a0910 [and entropy]; > s.a. causal
sets.
@ Discrete: Holfter & Paschke JGP(03)ht/02 [and
Dirac operator]; Gambini & Pullin gq/05-in; > s.a. discrete
spacetime.
@ Categorical: Crane ht/93, gq/00;
Isham ATMP(03)gq, ATMP(03)gq, ATMP(04)gq/03;
Isham qp/04-in;
Baez qp/04;
Raptis IJTP(06)gq/04-in, IJTP(07)
[and abstract differential geometry]; Crane gq/06-in;
> s.a. quantum spacetime models.
@ Relational: Corichi et al MPLA(02)gq;
Dreyer gq/04;
Raptis IJTP(07)
['third quantization']; Dreyer in(06)gq,
PoS-a0710
[internal relativity]; Anderson a0809.
@ Deformed: Finkelstein LMP(96);
Antonsen gq/97;
Gavrilik gq/99-in
[quantum algebras]; Vacaru a0801 [Lagrange-Finsler
variables and Fedosov quantization]; > s.a. loop representation; modified
theories [linearized gravity]; modified versions
of general relativity.
@ Related topics: Ghosh ht/02 [use
all signatures]; Siino ht/06 [algebraic];
Finkelstein IJTP(08)gq/06 [homotopy
approach]; Raptis IJTP(06)
[Glafka meeting, iconoclastic approaches]; Baker a0810 [using
elastic solid model]; > s.a. approaches to quantum
gravity; Topos Theory.
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nov
2009