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Galileo symmetries in polymer particle representation

Dah-Wei Chiou 2007 Class. Quantum Grav. 24 2603-2620   doi: 10.1088/0264-9381/24/10/007  Help

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Dah-Wei Chiou
Department of Physics, University of California, Berkeley, CA 94720, USA
and
Institute for Gravitational Physics and Geometry, Department of Physics, The Pennsylvania State University, University Park, PA 16802, USA
E-mail: chiou@gravity.psu.edu

Abstract. To illustrate the conceptual problems for the low-energy symmetries in the continuum of spacetime emerging from the discrete quantum geometry, Galileo symmetries are investigated in the polymer particle representation of a non-relativistic particle as a simple toy model. The complete Galileo transformations (translation, rotation and Galileo boost) are naturally defined in the polymer particle Hilbert space and Galileo symmetries are recovered with highly suppressed deviations in the low-energy regime from the underlying polymer particle description.

PACS numbers: 04.60.Pp, 04.60.Ds, 04.60.Nc, 03.65.Sq

Print publication: Issue 10 (21 May 2007)
Received 4 January 2007, in final form 13 March 2007
Published 30 April 2007

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