Abhay Ashtekar et al 2003 Class. Quantum Grav. 20 L11 doi:10.1088/0264-9381/20/1/103
Abhay Ashtekar1,3, Jerzy Lewandowski1,2,3,4 and Hanno Sahlmann1,3
Show affiliationsIn loop quantum gravity, matter fields can have support only on the 'polymer-like' excitations of quantum geometry, and their algebras of observables and Hilbert spaces of states cannot refer to a classical, background geometry. Therefore, to adequately handle the matter sector, one has to address two issues already at the kinematic level. First, one has to construct the appropriate background-independent operator algebras and Hilbert spaces. Second, to make contact with low-energy physics, one has to relate this 'polymer description' of matter fields to the standard Fock description in Minkowski space. While this task has been completed for gauge fields, important gaps remained in the treatment of scalar fields. The purpose of this letter is to fill these gaps.
Issue 1 (7 January 2003)
Received 26 November 2002
Published 11 December 2002
Abhay Ashtekar et al 2003 Class. Quantum Grav. 20 L11
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