One-point functions in integrable coupled minimal models

TL;DR

This paper derives exact vacuum expectation values for local fields in coupled minimal models related to affine Toda theory, providing insights into their correlation functions and physical properties.

Contribution

It introduces explicit formulas for vacuum expectation values in coupled minimal models derived from affine Toda theory, a novel result in integrable quantum field theories.

Findings

Exact vacuum expectation values for local fields are obtained.

Asymptotic behavior of two-point correlation functions is characterized.

Models include coupled Ising and Heisenberg spin ladders.

Abstract

We propose exact vacuum expectation values of local fields for a quantum group restriction of the $C_2^{(1)}$ affine Toda theory which corresponds to two coupled minimal models. The central charge of the unperturbed models ranges from $c=1$ to $c=2$, where the perturbed models correspond to two magnetically coupled Ising models and Heisenberg spin ladders, respectively. As an application, in the massive phase we deduce the leading term of the asymptotics of the two-point correlation functions.