Universität zu Köln

Wong, Patrick J. (2017). Shape dynamical loop gravity from a conformal Immirzi parameter. Int. J. Mod. Phys. D, 26 (11). SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD. ISSN 1793-6594

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Abstract

The Immirzi parameter of loop quantum gravity is a one-parameter ambiguity of the theory whose precise interpretation is not universally agreed upon. It is an inherent characteristic of the quantum theory as it appears in the spectra of geometric operators, despite being irrelevant at the classical level. The parameter's appearance in the area and volume spectra to the same power as the Planck area suggest that it plays a role in determining the fundamental length scale of space. In fact, a consistent interpretation is that it represents a constant rescaling of the kinematical spatial geometry. An interesting realization is that promoting the Immirzi parameter to be a general conformal transformation leads to a system which can be identified as analogous to the linking theory of shape dynamics. A three-dimensional gravitational gauge connection is then constructed within the linking theory in a manner analogous to loop quantum gravity, thereby facilitating the application of the established procedure of loop quantization.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Wong, Patrick J. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-216225
DOI:	10.1142/S0218271817501310
Journal or Publication Title:	Int. J. Mod. Phys. D
Volume:	26
Number:	11
Date:	2017
Publisher:	WORLD SCIENTIFIC PUBL CO PTE LTD
Place of Publication:	SINGAPORE
ISSN:	1793-6594
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language BACKGROUND INDEPENDENT QUANTIZATIONS; QUANTUM GENERAL-RELATIVITY; HAMILTONIAN-FORMULATION; SCALAR FIELD; VARIABLES; GEOMETRY; REAL; AREA Multiple languages Astronomy & Astrophysics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/21622