Boundary form factors in finite volume

Abstract

We describe the volume dependence of matrix elements of local boundary fields to all orders in inverse powers of the volume. Using the scaling boundary Lee-Yang model as testing ground, we compare the matrix elements extracted from boundary truncated conformal space approach to exact form factors obtained using the bootstrap method. We obtain solid confirmation for the boundary form factor bootstrap, which is different from all previously available tests in that it is a non-perturbative and direct comparison of exact form factors to multi-particle matrix elements of local operators, computed from the Hamiltonian formulation of the quantum field theory.

v1: 25 pages, 12 eps figures, LaTex2e file. v2: a new eps figure and some explanatory notes added

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Cited by in corpus (20)

• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Form factor expansion for thermal correlators
• Mean values of local operators in highly excited Bethe states
• Sine-Gordon form factors in finite volume
• Spectral expansion for finite temperature two-point functions and clustering
• Diagonal multi-soliton matrix elements in finite volume
• Sine-Gordon multi-soliton form factors in finite volume
• Form factors of boundary exponential operators in the sinh-Gordon model
• Form factors in the presence of integrable defects
• Duality and Form Factors in the Thermally Deformed Two-Dimensional Tricritical Ising Model
• Breather boundary form factors in sine-Gordon theory
• Finite volume form factors in the presence of integrable defects
• Finite temperature expectation values of boundary operators
• Finite volume form factors and correlation functions at finite temperature
• Regularization of multi-soliton form factors in sine-Gordon model
• The effect of magnetization and electric polarization on the anomalous transport coefficients of a chiral fluid
• Explicit boundary form factors: the scaling Lee-Yang model
• TCSA and the finite volume boundary state
• Lee-Yang Model in Presence of Defects
• Boundary Quantum Field Theories Perturbed by $\mathrm{T}\bar{\mathrm{T}}$: Towards a Form Factor Program