Finite size effects in integrable quantum field theory: the sine-Gordon model with boundaries

TL;DR

This thesis reviews recent advances in using Nonlinear Integral Equations to analyze finite size effects in boundary integrable quantum field theories, focusing on the sine-Gordon model with Dirichlet boundaries, providing exact energy spectrum calculations.

Contribution

It applies the Nonlinear Integral Equation approach to compute finite size effects in the sine-Gordon model with boundaries, including excited states and boundary conditions.

Findings

Exact energy spectra dependence on size and boundary conditions.

Analysis of vacuum and excited states energies.

Advancement in boundary integrable quantum field theory methods.

Abstract

In this thesis we review recent progresses on Nonlinear Integral Equation approach to finite size effects in two dimensional integrable quantum field theory with boundaries, with emphasis to sine-Gordon model with Dirichlet boundary conditions. Exact calculations of the dependence of the energy spectrum on the size and on boundary conditions are presented for vacuum and many excited states.