Finite volume form factors in the presence of integrable defects

Abstract

We developed the theory of finite volume form factors in the presence of integrable defects. These finite volume form factors are expressed in terms of the infinite volume form factors and the finite volume density of states and incorporate all polynomial corrections in the inverse of the volume. We tested our results, in the defect Lee-Yang model, against numerical data obtained by truncated conformal space approach (TCSA), which we improved by renormalization group methods adopted to the defect case. To perform these checks we determined the infinite volume defect form factors in the Lee-Yang model exactly, including their vacuum expectation values. We used these data to calculate the two point functions, which we compared, at short distance, to defect CFT. We also derived explicit expressions for the exact finite volume one point functions, which we checked numerically. In all of these comparisons excellent agreement was found.

pdflatex, 34 pages, many figures

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Cited by in corpus (8)

• Chirally Factorised Truncated Conformal Space Approach
• Exact finite volume expectation values of local operators in excited states
• Finite-Volume Spectra of the Lee-Yang Model
• On form factors of boundary changing operators
• Explicit boundary form factors: the scaling Lee-Yang model
• Entanglement Entropy in Integrable Field Theories with Line Defects I. Topological Defect
• Entanglement Entropy in Integrable Field Theories with Line Defects II. Non-topological Defect
• On the critical boundary RSOS \mathcal{M}(3,5) model