TCSA and the finite volume boundary state

Abstract

We develop a new way to calculate the overlap of a boundary state with a finite volume bulk state in the truncated conformal space approach. We check this method in the thermally perturbed Ising model analytically, while in the scaling Lee-Yang model numerically by comparing our results to excited state g-functions, which we obtained by the analytical continuation method. We also give a simple argument for the structure of the asymptotic overlap between the finite volume boundary state and a periodic multiparticle state, which includes the ratio of Gaudin type determinants.

arXiv comment29 pages, 15 figures, v2: typos corrected, comments added, references updated

References in corpus (50)

• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Time evolution of local observables after quenching to an integrable model
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• On the Boundary Entropy of One-dimensional Quantum Systems at Low Temperature
• Excited states by analytic continuation of TBA equations
• What is an integrable quench?
• Boundary energy and boundary states in integrable quantum field theories
• One-point Functions in Defect CFT and Integrability
• Form factors in finite volume II:disconnected terms and finite temperature correlators
• Form factors in finite volume I: form factor bootstrap and truncated conformal space
• One-point Functions in AdS/dCFT from Matrix Product States
• TBA and TCSA with boundaries and excited states
• A Gaudin-like determinant for overlaps of Néel and XXZ Bethe states
• Hamiltonian truncation approach to quenches in the Ising field theory
• g-function flow in perturbed boundary conformal field theories
• Scalar one-point functions and matrix product states of AdS/dCFT
• Initial states in integrable quantum field theory quenches from an integral equation hierarchy
• Exact Three-Point Functions of Determinant Operators in Planar N=4 Supersymmetric Yang-Mills Theory
• Overlaps after quantum quenches in the sine-Gordon model
• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• One-loop one-point functions in gauge-gravity dualities with defects
• Asymptotic one-point functions in AdS/dCFT
• Surface free energy of the open XXZ spin-1/2 chain
• Spin Chain Overlaps and the Twisted Yangian
• Integrable quantum field theory with boundaries: the exact g-function
• Boundary states, overlaps, nesting and bootstrapping AdS/dCFT
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• One-point functions in massive integrable QFT with boundaries
• Generalisations of the Coleman-Thun mechanism and boundary reflection factors
• On the boundary form factor program
• Overlap singularity and time evolution in integrable quantum field theory
• Overlaps with arbitrary two-site states in the XXZ spin chain
• One-Point Functions of Non-protected Operators in the SO(5) symmetric D3-D7 dCFT
• On O(1) contributions to the free energy in Bethe Ansatz systems: the exact g-function
• Finite size effects in quantum field theories with boundary from scattering data
• Boundary TBA, trees and loops
• Boundary form factors in finite volume
• O(1) contribution of saddle point fluctuations to the free energy of Bethe Ansatz systems
• RG boundaries and interfaces in Ising field theory
• Approaching the Self-Dual Point of the Sinh-Gordon model
• Boundary one-point function, Casimir energy and boundary state formalism in D+1 dimensional QFT
• Nonstandard Bethe Ansatz equations for open O(N) spin chains
• Diagonal finite volume matrix elements in the sinh-Gordon model
• Exact finite volume expectation values of conserved currents
• On the normalization of the partition function of Bethe Ansatz systems
• Leading exponential finite size corrections for non-diagonal form factors
• Breather boundary form factors in sine-Gordon theory
• Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz
• Excited state g-functions from the Truncated Conformal Space