Ultraviolet behavior in background independent quantum field theory

Details Ultraviolet behavior in background independent quantum field theory Ultraviolet behavior in background independent quantum field theory

2010-01-31

arxiv.org/abs/1002.0138v1

Phys.Rev.D81:084043,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 5 figures

Scientific paper

10.1103/PhysRevD.81.084043

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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