The Shortest Scale of Quantum Field Theory

Details The Shortest Scale of Quantum Field Theory The Shortest Scale of Quantum Field Theory

2000-09-08

arxiv.org/abs/hep-th/0009063v2

Phys.Rev. D65 (2002) 105013

Physics

High Energy Physics

High Energy Physics - Theory

8 pages. One author added, additional clarifcations and discussions. Figure removed. Version published in PRD

Scientific paper

10.1103/PhysRevD.65.105013

It is suggested that the Minkowski vacuum of quantum field theories of a large number of fields N would be gravitationally unstable due to strong vacuum energy fluctuations unless an N dependent sub-Planckian ultraviolet momentum cutoff is introduced. We estimate this implied cutoff using an effective quantum theory of massless fields that couple to semi-classical gravity and find it (assuming that the cosmological constant vanishes) to be bounded by $M_Planck/N^1/4$. Our bound can be made consistent with entropy bounds and holography, but does not seem to be equivalent to either, and it relaxes but does not eliminate the implied bound on N inherent in entropy bounds.

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