Dilaton
Field / Gravity| 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, large extra
dimensions, strings), which includes a U(1) gauge field Aa,
and depends on a constant 
;
The dilaton also arises as the Goldstone boson of spontaneously broken conformal
field theories (in flat spacetime).
* Action: If Fab is the curvature of Aa,
S[g, A, 
]
= (1/16
G)
dv (R – 
gab
a b
+ 
exp{}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].
@ Inflaton: Cabo & Amezaga ht/99-in
[and redshift].
@ Related topics: Álvarez & Gómez
PLB(00)ht [soft
dilaton theorem]; Cavaglià MPLA(00)ht [Weyl
invariance]; > s.a. anomaly, cosmological
constant, dark
energy, dark matter, tests
of newtonian gravity [constraints].
Specific Models and Solutions > s.a. black
hole solutions; gauge theory solutions; solutions
of general relativity; topological
defects.
@ With other matter: Meyer ht/05-in
[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].
@ Cosmology: Billyard
et al JMP(00)gq;
Chen et al PRD(00)ht [Bianchi
I]; Cabo & Brandenberger a0806 [stabilized by fermion masses]; > s.a. bianchi
models.
@
Quantum cosmology: Catren & Simeone mp/05-in;
Ahmed gq/06 [+
pfluid].
@ Related topics: Maeda et al PRL(98)gq [naked
singularities].
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{–2
}(R +
4 
a a – 
Habc Habc –
Fab Fab)
+ 
matter]
SADE =
M dv [R –
2 a a – exp{–4} Habc Habc
– exp{–2} Fab Fab +
exp{4}matter(exp{2}g)]
.
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
10 jun 2008