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 language | English |
---|---|
Pages (from-to) | 308-316 |
Number of pages | 9 |
Journal | Physics Letters B |
Volume | 443 |
Issue number | 1-4 |
DOIs | |
State | Published - 10 Dec 1998 |
Externally published | Yes |