Propagation in polymer parameterised field theory

Varadarajan, Madhavan

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6732

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DC Field	Value	Language
dc.contributor.author	Varadarajan, Madhavan	-
dc.date.accessioned	2017-09-19T06:40:39Z	-
dc.date.available	2017-09-19T06:40:39Z	-
dc.date.issued	2017-01	-
dc.identifier.citation	Classical and Quantum Gravity, 2017, Vol.34, p015012	en_US
dc.identifier.issn	0264-9381	-
dc.identifier.issn	1361-6382 (E)	-
dc.identifier.uri	http://hdl.handle.net/2289/6732	-
dc.description	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)	en_US
dc.description.abstract	The Hamiltonian constraint operator in loop quantum gravity acts ultralocally. Smolin has argued that this ultralocality seems incompatible with the existence of a quantum dynamics which propagates perturbations between macroscopically seperated regions of quantum geometry. We present evidence to the contrary within an LQG type 'polymer' quantization of two dimensional parameterised field theory (PFT). PFT is a generally covariant reformulation of free field propagation on flat spacetime. We show explicitly that while, as in LQG, the Hamiltonian constraint operator in PFT acts ultralocally, states in the joint kernel of the Hamiltonian and diffeomorphism constraints of PFT necessarily describe propagation effects. The particular structure of the finite triangulation Hamiltonian constraint operator plays a crucial role, as does the necessity of imposing (the continuum limit of) its kinematic adjoint as a constraint. Propagation is seen as a property encoded by physical states in the kernel of the constraints rather than that of repeated actions of the finite triangulation Hamiltonian constraint on kinematic states. The analysis yields robust structural lessons for putative constructions of the Hamiltonian constraint in LQG for which ultralocal action co-exists with a description of propagation effects by physical states.	en_US
dc.language.iso	en	en_US
dc.publisher	IOP Publishing Ltd.	en_US
dc.relation.uri	http://arxiv.org/abs/1609.06034	en_US
dc.relation.uri	http://dx.doi.org/10.1088/1361-6382/34/1/015012	en_US
dc.relation.uri	http://adsabs.harvard.edu/abs/2017CQGra..34a5012V	en_US
dc.rights	2016 IOP Publishing Ltd.	en_US
dc.subject	loop quantum gravity	en_US
dc.subject	general convariance	en_US
dc.title	Propagation in polymer parameterised field theory	en_US
dc.type	Article	en_US
Appears in Collections:	Research Papers (TP)

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