The Coupling of Shape Dynamics to Matter

Shape Dynamics (SD) is a theory dynamically equivalent to vacuum General Relativity (GR), which has a different set of symmetries. It trades refoliation invariance, present in GR, for local 3-dimensional conformal invariance. This contribution to the Loops 11 conference addresses one of the more urgent questions regarding the equivalence: is it possible to incorporate normal matter in the new framework? The answer is yes, in certain regimes. We present general criteria for coupling and apply it to a few examples.The outcome presents bounds and conditions on scalar densities (such as the Higgs potential and the cosmological constant) not present in GR.

Note:

4 pages. Contribution to Loops '11 conference in Madrid, to appear in Journal of Physics: Conference Series (JPCS)

invariance: conformal
potential: Higgs
density: scalar
cosmological constant

References(4)

Figures(0)

The Link between General Relativity and Shape Dynamics

Henrique Gomes
(
- Nottingham U. and
- Imperial Coll., London
)
,
Tim Koslowski
(
- Perimeter Inst. Theor. Phys.
)

- Class.Quant.Grav. 29 (2012) 075009
•
e-Print:
- 1101.5974
•
DOI:
- 10.1088/0264-9381/29/7/075009

Einstein gravity as a 3D conformally invariant theory

Henrique Gomes
(
- Nottingham U.
)
,
Sean Gryb
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Tim Koslowski
(
- Perimeter Inst. Theor. Phys.
)

- Class.Quant.Grav. 28 (2011) 045005
•
e-Print:
- 1010.2481
•
DOI:
- 10.1088/0264-9381/28/4/045005

Interaction energy in electrodynamics and in the field theory of nuclear forces

E.C.G. Stueckelberg
(
- Geneva U.
)

- Helv.Phys.Acta 11 (1938) 225-244
•
DOI:
- 10.5169/seals-110852

Coupling Shape Dynamics to Matter Gives Spacetime

- Gen.Rel.Grav. 44 (2012) 1539-1553
•
e-Print:
- 1110.3837
•
DOI:
- 10.1007/s10714-012-1355-2