Reflection Scattering Matrix of the Ising Model in a Random Boundary Magnetic Field

TL;DR

This paper investigates the effects of a quenched surface magnetic field on the Ising model using boundary quantum field theory, proposing exact scattering amplitudes to analyze correlation functions.

Contribution

It introduces exact boundary scattering amplitudes for the Ising model with a random boundary magnetic field, advancing the understanding of boundary effects in quantum field theory.

Findings

Derived exact boundary scattering amplitudes.

Analyzed averaged quenched correlation functions.

Enhanced understanding of boundary magnetic field effects.

Abstract

The physical properties induced by a quenched surface magnetic field in the Ising model are investigated by means of boundary quantum field theory in replica space. Exact boundary scattering amplitudes are proposed and used to study the averaged quenched correlation functions.