Linking shape dynamics and loop quantum gravity
TL;DR: In this article, shape dynamics is derived in a formulation related to the Ashtekar variables by beginning with a modification of the Plebanski action, and the constraints of shape dynamics and their algebra are reproduced in terms of these new variables.
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Abstract: Shape dynamics is a reformulation of general relativity, locally equivalent to Einstein’s theory, in which the refoliation invariance of the older theory is traded for local scale invariance. Shape dynamics is here derived in a formulation related to the Ashtekar variables by beginning with a modification of the Plebanski action. The constraints of shape dynamics and their algebra are reproduced in terms of these new variables.
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Citations
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Shape dynamical loop gravity from a conformal Immirzi parameter
TL;DR: In this article, a three-dimensional gravitational gauge connection is constructed within the linking theory of shape dynamics in a manner analogous to loop quantum gravity, thereby facilitating the application of the established procedure of loop quantization.
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Shape Dynamical Loop Gravity from a Conformal Immirzi Parameter
TL;DR: In this article, a three-dimensional gravitational gauge connection is constructed within the linking theory of shape dynamics in a manner analogous to loop quantum gravity, thereby facilitating the application of the established procedure of loop quantization.
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References
Quantum Gravity at a Lifshitz Point
TL;DR: In this article, a quantum field theory of gravity with dynamical critical exponent equal to $z = 3$ in the UV is presented. But this theory is restricted to satisfy the condition of detailed balance.
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2.6K
The Dynamics of General Relativity
TL;DR: This article appeared as Chapter 7 of an often cited compendium edited by L. Witten in 1962 as mentioned in this paper, which is now long out of print and is intended to provide contemporary accessibility to the flavor of the original ideas.
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New variables for classical and quantum gravity.
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