Dilaton Field / Gravity |
In General
> s.a. 2D gravity; 2D quantum gravity;
solutions in general relativity.
* Idea: A theory arising
in dimensional reduction from higher-dimensions (Kaluza-Klein theory,
large extra dimensions, string theory), which includes a U(1) gauge field
Aa, and depends on a
constant χ; The dilaton also arises as the Goldstone boson
of spontaneously broken conformal field theories (in flat spacetime).
* Action: If \(F_{ab}\) is
the curvature of \(A_a\),
S[g, A, φ] = \(1\over16\pi G\)∫ dv (R − \(1\over2\)gab ∂aφ ∂bφ + \(1\over4\)exp{χφ} Fab Fab) .
@ General references:
Nojiri & Odintsov IJMPA(01) [quantum, D = 2, 4, 5];
Sundrum ht/03 [as scalar analog of general relativity].
@ Dynamics: Burton & Mann CQG(98) [Palatini, N-dimensional];
Cadoni & Mana CQG(01)gq/00 [Hamiltonian with boundary].
@ Related topics: Álvarez & Gómez PLB(00)ht [soft dilaton theorem];
Cavaglià MPLA(00)ht [Weyl invariance].
> Related phenomenology:
Screening; tests of newtonian gravity [constraints].
> And quantum gravity: see anomaly;
asymptotic safety in quantum gravity.
> Online resources:
see Wikipedia page.
Specific Models and Phenomenology > s.a. black-hole solutions;
gauge-theory solutions; solutions of general relativity.
@ With other matter: Meyer ht/05-proc [fermions];
Grumiller & Meyer CQG(06)ht [Dirac fermion, quantum].
@ Black holes:
Gibbons & Maeda NPB(88);
Garfinkle et al PRD(91);
Chan et al NPB(95);
Gibbons & Kallosh PRD(95)ht/94;
Kiem & Park;
Casadio et al PRD(97);
Casadio & Harms MPLA(99) [different frames];
Vorontsova & Sharov TMP(05)
[d-dimensional Schwarzschild-like].
@ As dark matter: Dick ht/96;
Cho & Kim PRD(09)-a0711;
Kennedy et al PRL(20) [constraints on interaction with ordinary matter].
@ Other cosmology: Cabo & Amezaga ht/99-conf [as inflaton, and redshift];
Billyard et al JMP(00)gq;
Chen et al PRD(00)ht [Bianchi I];
Cabo & Brandenberger JCAP(09)-a0806 [stabilized by fermion masses];
> s.a. bianchi models; cosmological constant;
dark energy; dark matter.
@ Quantum cosmology:
Catren & Simeone mp/05-ch;
Ahmed NCB(06)gq [+ pfluid].
@ Related topics: Maeda et al PRL(98)gq [naked singularities].
> Related topics: see fine-structure
constant [spatial variation]; topological defects.
Axion-Dilaton Gravity > s.a. axion;
black-hole solutions.
* Idea: A theory arising in the
low-energy limit of heterotic string theory, via toroidal compactification to 4D.
* Action: If H
= dB − A ∧ F (which implies dH
= −F ∧ F),
SADJ
= ∫M dv
[exp{−2Φ}(R + 4 ∇aΦ
∇aΦ −
\(1\over3\)Habc
Habc
− Fab
Fab)
+ \(\cal L\)matter]
SADE
= ∫M dv
[R − 2 ∇aΦ
∇a Φ −
\(1\over3\)exp{−4Φ} Habc
Habc
− exp{−2Φ} Fab
Fab
+ exp{4Φ} \(\cal L\)matter(exp{2Φ}g)] .
main page
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send feedback and suggestions to bombelli at olemiss.edu – modified 16 nov 2020