5-loop Konishi from linearized TBA and the XXX magnet

TL;DR

This paper analytically confirms that the 5-loop anomalous dimension of the Konishi operator matches previous results by relating linearized TBA equations to the XXX model TBA, advancing understanding in integrable models.

Contribution

It establishes an analytical proof connecting linearized TBA equations to the XXX model TBA, confirming previous numerical results for the Konishi operator.

Findings

Analytical confirmation of 5-loop Konishi anomalous dimension

Relation between linearized TBA and XXX model TBA equations

Agreement with previous Luscher formula results

Abstract

Using the linearized TBA equations recently obtained in [arXiv:1002.1711] we show analytically that the 5-loop anomalous dimension of the Konishi operator agrees with the result obtained previously from the generalized Luscher formulae. The proof is based on the relation between this linear system and the XXX model TBA equations.