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Conformal model of gravitons

John F. Donoghue
(
- Massachusetts U., Amherst
)

Sep 12, 2016

12 pages

Published in:

Phys.Rev.D 96 (2017) 4, 044006

Published: Aug 7, 2017

e-Print:

1609.03524 [hep-th]

DOI:

10.1103/PhysRevD.96.044006

Report number:

ACFI-T16-25

View in:

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Abstract: (arXiv)

In the description of general covariance, the vierbein and the Lorentz connection can be treated as independent fundamental fields. With the usual gauge Lagrangian, the Lorentz connection is characterized by an asymptotically free running coupling. When running from high energy, the coupling gets large at a scale which can be called the Planck mass. If the Lorentz connection is confined at that scale, the low energy theory can have the Einstein Lagrangian induced at low energy through dimensional transmutation. However, in general there will be new divergences in such a theory and the Lagrangian basis should be expanded. I construct a conformally invariant model with a larger basis size which potentially may have the same property.

Note:

15 pages - corrected typos, updated references, small changes in discussion

energy: low
energy: high
transmutation: dimensional
gravitation: model
model: graviton
scale: Planck
coupling constant: energy dependence
Lorentz
covariance
conformal

References(53)

Figures(0)

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