Expectation values of descendent fields in the sine-Gordon model

TL;DR

This paper calculates exact vacuum expectation values of specific fields in the sine-Gordon model and perturbed minimal conformal field theory, aiding the understanding of short-distance behaviors of correlation functions.

Contribution

It provides the first exact formulas for these expectation values in the sine-Gordon and perturbed minimal models, expanding theoretical understanding.

Findings

Exact vacuum expectation values derived for sine-Gordon fields.

Results applied to short-distance expansion of two-point functions.

Enhances analytical tools for integrable quantum field theories.

Abstract

We obtain exactly the vacuum expectation values $<(\partial\phi)^2 ({\bar\partial}\phi) e^{i\alpha\phi}>$ in the sine-Gordon model and $<L_{-2}{\bar L}_{-2} \Phi_{l,k}>$ in $\Phi_{1,3}$ perturbed minimal CFT. We discuss applications of these results to short-distance expansions of two-point correlation functions.