The operator product expansion, non-perturbative couplings and the Landau pole: Lessons from the O(N) σ-model

M. Beneke, V. M. Braun, N. Kivel

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

We obtain the operator product expansion of the self-energy in the O(N) non-linear σ-model to all orders in the coupling and the large momentum, and to next-to-leading order in 1/N. In the light of this result we discuss recent suggestions that there may be additional power corrections from short distances, associated with defining the coupling constant non-perturbatively. The non-linear σ-model provides no evidence for such 'non-standard' power corrections. We also find that the OPE converges for sufficiently large external momentum, presumably because there are no multi-particle thresholds at arbitrarily high energies in the 1/N expansion.

Original languageEnglish
Pages (from-to)308-316
Number of pages9
JournalPhysics Letters B
Volume443
Issue number1-4
DOIs
StatePublished - 10 Dec 1998
Externally publishedYes

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