Polymer and Fock representations for a scalar field

Sahlmann H, Ashtekar A, Lewandowski J (2003)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2003


Publisher: Institute of Physics: Hybrid Open Access

Book Volume: 20

Journal Issue: 1

DOI: 10.1088/0264-9381/20/1/103


In 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.

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Sahlmann, H., Ashtekar, A., & Lewandowski, J. (2003). Polymer and Fock representations for a scalar field. Classical and Quantum Gravity, 20(1). https://dx.doi.org/10.1088/0264-9381/20/1/103


Sahlmann, Hanno, Abhay Ashtekar, and Jerzy Lewandowski. "Polymer and Fock representations for a scalar field." Classical and Quantum Gravity 20.1 (2003).

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