Explicit boundary form factors: the scaling Lee-Yang model

TL;DR

This paper derives explicit boundary form factors for the boundary scaling Lee-Yang model, including the boundary stress tensor and primary field, under all integrable boundary conditions, enhancing understanding of boundary effects in integrable quantum field theories.

Contribution

It provides explicit determinant and polynomial expressions for boundary form factors in the scaling Lee-Yang model, covering all integrable boundary conditions.

Findings

Boundary form factors of the stress tensor are expressed as determinants.

Form factors of the boundary primary field include explicit polynomials.

Results apply to all integrable boundary conditions in the model.

Abstract

We provide explicit expressions for boundary form factors in the boundary scaling Lee-Yang model for operators with the mildest ultraviolet behavior for all integrable boundary conditions. The form factors of the boundary stress tensor take a determinant form, while the form factors of the boundary primary field contain additional explicit polynomials.