Perturbative test of exact vacuum expectation values of local fields in affine Toda theories

TL;DR

This paper verifies the exact vacuum expectation values of local fields in affine Toda theories through perturbative Feynman diagram calculations, confirming the theoretical predictions up to two loops.

Contribution

It provides the first perturbative validation of the proposed exact vacuum expectation values in non-simply laced affine Toda theories.

Findings

Agreement between perturbative calculations and exact values up to two loops

Validation of dual pair predictions in affine Toda theories

Supports the accuracy of the proposed exact formulas

Abstract

Vacuum expectation values of local fields for all dual pairs of non-simply laced affine Toda field theories recently proposed are checked against perturbative analysis. The computations based on Feynman diagram expansion are performed upto two-loops. Agreement is obtained.