Gauge Theories of Gravity| Gauge Theories of Gravity |
In General
> s.a. gauge theory; gravity / higher-order
theories; linearized gravity; supersymmetric field theories.
* Idea: The variables
are gauge fields in flat spacetime, a tetrad (translational potential)
and a connection (rotational potential).
* In terms of symmetry
breaking: The n-dimensional general relativity symmetry
group GL(n, \(\mathbb R\)) is broken to the Lorentz group.
@ General references:
Utiyama PR(56);
Thirring AP(60),
APA(78);
Kibble JMP(61);
Yang PRL(74)
[and Guilfoyle & Nolan GRG(98)gq];
Asorey & Boya IJTP(79)
[observational difference with respect to the electromagnetic case];
Lenzen GRG(85) [quadratic S];
Dehnen & Ghaboussi PRD(86);
Ghaboussi et al PRD(87);
Frønsdal JGP(90);
Hecht et al PRD(91);
Hehl et al PRP(95)gq/94;
Wu et al ht/02;
Sardanashvily TMP(02)gq;
Chamseddine IJGMP(06)ht/05 [rev];
Randono a1010 [forward-looking introduction];
Cattaneo & Schiavina AHP(19)-a1707 [reduced phase space];
Struckmeier et al PRD(17)-a1704,
IJMPE(19)-a1711;
Schücker a1812-proc [general formalism].
@ Books, reviews:
Ivanenko & Sardanashvily PRP(83);
Gronwald & Hehl gq/96-ln [rev];
Blagojević 01;
Sardanashvily gq/02;
Blagojević gq/03-ln;
Tiemblo & Tresguerres RRDP-gq/05 [non-linear framework];
Sardanashvily IJGMP(06)gq/05 [geometric],
IJGMP(11)-a1110;
Hehl a1204;
Blagojević & Hehl a1210,
13 [intro and reprint volume];
Nester & Chen IJMPD(16)-a1604-proc [and phenomenology];
Cordeiro dos Santos a1905;
Hehl & Obukhov a1909
[starting from matter energy-momentum conservation].
@ As a diffeomorphism-invariant gauge theory:
Cho et al PLB(92);
Krasnov PRD(11)-a1101 [and perturbative quantisation],
PRS(12)-a1202 [rev].
@ And general relativity: Vignolo et al IJGMP(06) [general relativity as constrained gauge theory];
Obukhov & Hehl a2007
[special case of Poincaré gauge gravity]
@ Gravity and Yang-Mills theory:
Baulieu ht/00-talk [supersymmetric gauge theory];
Ananth IJMPD(10)-a1009;
Maltwi a1911.
@ With matter couplings:
Kerr a1408 [ISO(n) theory].
@ Solutions:
Francis & Kosowsky gq/03-wd;
Wu & Zhang gq/05 [and tests];
Blagojević & Cvetković PRD(16)-a1510 [black holes, conformally flat];
> s.a. Birkhoff Theorem.
@ Related topics: Tresguerres IJGMP(13)-a1202 [description of motion];
Borsten & Duff PS(15)-a1602
[symmetries of gravitational theories as originating from those of "Yang-Mills squared"].
> And quantum gravity:
see covariant quantum gravity [relationship with gauge theory];
path integral quantum gravity.
Different Versions > s.a. Bargmann Algebra
[gauging, and Newtonian gravity]; non-commutative gravity.
@ Lorentz group:
Carlevaro & Montani a0903-proc;
Cho IJMPA(09) [abelian decomposition];
Pak et al PRD(12)-a1112 [as a model of emergent gravity];
Öttinger a1806.
@ Poincaré group, Hamiltonian structure:
López-Pinto et al CQG(97)gq/96;
Yo & Nester IJMPD(02)gq/01;
Blagojević & Cvetković PRD(18)-a1804.
@ Poincaré group, other:
Edelen IJTP(85),
IJTP(85),
IJTP(85),
IJTP(85),
IJTP(86);
Edelen IJTP(89);
Batakis gq/97;
Blagojević AdP(01)ht/00 [and teleparallel];
Leclerc PRD(05)gq [teleparallel limit];
Frolov G&C(04)gq/05 [foundations];
Obukhov IJGMP(06)gq;
Leclerc IJMPD(07) [second-order formalism];
Minkevich APPB(09)-a0808;
Ali et al IJTP(09)-a0907 [rev];
Banerjee et al PRD(10) [symmetry generators];
Kaźmierczak a1010-MG12 [with coupled fermions, and the Immirzi parameter];
Obukhov IJGMP(18)-a1805 [rev, status];
Tseng a1812-PhD;
Beltrán & Maldonado EPJC(20)-a1910 [stability];
Obukhov & Hehl PRD(20)-a2007 [general relativity as a special case];
> s.a. parity [violation].
@ Self-dual: Kerr a1504 [Hamiltonian analysis];
Krasnov CQG(17)-a1610.
@ SL(2, C):
Nissani PRP(84);
Carmeli et al 90;
Carmeli & Malin IJTP(98) [quantum].
@ SO(3):
Mattes PhD(90)gq/03;
Kaul PRD(06)gq [complex SU(2), and supergravity].
@ SO(D+1): Botta Cantcheff GRG(02)gq/00 [with cosmological constant and torsion].
@ SO(4, 1): MacDowell & Mansouri PRL(77) [with Λ > 0];
Randono CQG(10)-a1005 [spontaneously broken local de Sitter symmetry];
Sobreiro et al a1210-conf [and anti-de Sitter].
@ SO(4, 2):
Anabalón et al JPA(08);
Gegenberg et al PRD(16)-a1505 [and infrared modification of gravity].
@ SL(5, R): Mielke PLB(11) [spontaneous breaking, and weak equivalence principle].
@ Conformal group: Hobson & Lasenby a2008;
Herfray & Scarinci a2011.
@ Other: Wallner PRD(90),
Mielke PLA(90) [new variables];
Gaitan gq/01;
Bertolini IJMPA(03)ht-ln;
Wu CTP(04)ht/03 [shielding effect];
Hestenes FP(05) [with geometric calculus];
Hsu IJMPA(06)-a1102;
Cuzinatto et al ASS(11)-a0712 [second-order, and acceleration];
Hsu IJMPA(09)-a1005,
Martín-Martín & Tiemblo IJGMP(10) [gauge theory of translations];
Maluf & Faria AdP(12)-a1203 [teleparallel];
Lasenby & Hobson JMP(16)-a1510 [scale-invariant];
Sardanashvily IJGMP(16)-a1602-conf [gravity as a Higgs field];
Manolakos et al a1911 [on a fuzzy space].
> Related topics and phenomenology: see FLRW
spacetimes; higgs mechanism; gravitational phenomenology;
torsion in physics; unified theories.
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