Shortest Scale of Quantum Field Theory

Ram Brustein, David Eichler, Stefano Foffa, David H. Oaknin

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


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 semiclassical gravity and find it (assuming that the cosmological constant vanishes) to be bounded by M Planck/N1/4. 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.

Original languageEnglish
Article number105013
JournalPhysical Review D
Issue number10
StatePublished - 1 Dec 2002

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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