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arXiv · 1002.0138

Ultraviolet behavior in background independent quantum field theory

Viqar Husain·Andreas Kreienbuehl
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Abstract

We describe a background independent quantization of the scalar field that provides an explicit realization of Fock-like states and associated operators in a polymer Hilbert space. The vacuum expectation values of the commutator and anti-commutator of the creation and annihilation operators become energy dependent, and exhibit a surprising transition to fermionic behavior at high energy. Furthermore the approach yields a modified dispersion relation with a leading correction proportional to the momentum cubed. These results suggests a fundamental change in the ultraviolet properties of quantum fields.

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Viqar Husain, Andreas Kreienbuehl. 2010-01-31. Ultraviolet behavior in background independent quantum field theory. https://doi.org/10.1103/physrevd.81.084043

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