Shape Dynamics and Effective Field Theory
Abstract
Shape Dynamics is a gauge theory based on spatial diffeomorphism- and Weyl-invariance which is locally indistinguishable form classical General Relativity. If taken seriously, it suggests that the spacetime--geometry picture that underlies General Relativity can be replaced by a picture based on spatial conformal geometry. This classically well understood trading of gauge symmetries opens new conceptual avenues in many approaches to quantum gravity. I focus on the general implications for quantum gravity and effective field theory and consider the application of the Shape Dynamics picture in the exact renormalization group approaches to gravity, loop- and polymer- quantization approaches to gravity and low energy effective field theories. I also discuss the interpretation of known results through in the Shape Dynamics picture, in particular holographic renormalization and the problem of time in canonical quantum gravity.
Cite
@article{arxiv.1305.1487,
title = {Shape Dynamics and Effective Field Theory},
author = {Tim Koslowski},
journal= {arXiv preprint arXiv:1305.1487},
year = {2015}
}
Comments
56 pages, LaTex, 1 figure