Glueballs propagators in large-N YM

TL;DR

This paper advances the understanding of glueball propagators in large-N Yang-Mills theory by connecting surface operator correlators with perturbative and OPE constraints, including finite-L cases.

Contribution

It demonstrates that surface operator correlators reproduce perturbative logarithms, anomalous dimensions, and satisfy OPE constraints in large-L limit, extending previous work.

Findings

Surface operator correlators match perturbative leading logs

Correlators satisfy operator product expansion constraints

Finite-L correlator behavior discussed

Abstract

We have computed in [arXiv:1107.4320 (hep-th)] the glueballs spectrum in a certain sector of the large-N YM theory by solving by a change of variables the holomorphic loop equation for cusped twistor Wilson loops supported on certain Lagrangian submanifolds and by evaluating the correlators of surface operators supported on these Lagrangian submanifolds. We have shown that the correlators of composite surface operators of length L reproduce in the large-L limit the leading logarithms of perturbation theory of the corresponding glueballs propagators, including the correct anomalous dimensions. In this paper we show that the correlators of surface operators match in the large-L limit the stronger constraints arising by the operator product expansion, according to Migdal technique of computing the spectral sum over the glueballs including the subleading asymptotics given by the Euler formula. Finally, we discuss correlators of surface operators for finite L.