Operator Products in the SU($\infty$) Principal Chiral Model
High Energy Physics - Theory
2024-01-23 v1 High Energy Physics - Lattice
Mathematical Physics
math.MP
Abstract
The SU() principal chiral model is asymptotically free and integrable in dimensions. In the large- limit, there is no scattering, but correlation functions are {\em not} those of a free field theory. We briefly review the derivation of form factors for local operators. Two-point functions for such operators are known exactly. The two-point function of scaling-field operators has the short-distance behavior expected from the renormalization group. We briefly discuss non-vacuum operator products. The ultimate goal is to derive the Lagrangian field theory from this axiomatic quantum-field-theory formalism.
Cite
@article{arxiv.2401.11331,
title = {Operator Products in the SU($\infty$) Principal Chiral Model},
author = {Peter Orland},
journal= {arXiv preprint arXiv:2401.11331},
year = {2024}
}
Comments
10 pages, Contribution to the proceedings volume for "Gravity, Strings and Fields: A conference in honor of Gordon Semenoff."