Are there scaling solutions in the O(N)-models for large N in d>4?

Roberto Percacci and Gian Paolo Vacca
Phys. Rev. D 90, 107702 – Published 17 November 2014

Abstract

There have been some speculations about the existence of critical unitary O(N)-invariant scalar field theories in dimensions 4<d<6 and for large N. Using the functional renormalization group equation, we show that in the lowest order of the derivative expansion and assuming that the anomalous dimension vanishes for large N, the corresponding critical potentials are either unbounded from below or singular for some finite value of the field.

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  • Received 6 June 2014

DOI:https://doi.org/10.1103/PhysRevD.90.107702

© 2014 American Physical Society

Authors & Affiliations

Roberto Percacci*

  • SISSA, via Beirut 4, I-34014 Trieste, Italy, and INFN, 34127 Sezione di Trieste, Italy

Gian Paolo Vacca

  • INFN, Sezione di Bologna, Via Irnerio 46, I-40126 Bologna, Italy

  • *percacci@sissa.it
  • vacca@bo.infn.it

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Issue

Vol. 90, Iss. 10 — 15 November 2014

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