One-point functions in massive integrable QFT with boundaries

Abstract

We consider the expectation value of a local operator on a strip with non-trivial boundaries in 1+1 dimensional massive integrable QFT. Using finite volume regularisation in the crossed channel and extending the boundary state formalism to the finite volume case we give a series expansion for the one-point function in terms of the exact form factors of the theory. The truncated series is compared with the numerical results of the truncated conformal space approach in the scaling Lee-Yang model. We discuss the relevance of our results to quantum quench problems.

43 pages, 20 figures, v2: typos corrected

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Cited by in corpus (35)

• Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
• The Quench Action
• Quantum quench in the sine-Gordon model
• Dynamics in the Ising field theory after a quantum quench
• Correlation functions and transport coefficients in generalised hydrodynamics
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Form factor expansion for thermal correlators
• Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
• Mean values of local operators in highly excited Bethe states
• Boundary State in an Integrable Quantum Field Theory Out of Equilibrium
• Overlaps after quantum quenches in the sine-Gordon model
• Spin Chain Overlaps and the Twisted Yangian
• Integrable Matrix Product States from boundary integrability
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• Quantum quenches in the sinh-Gordon and Lieb-Liniger models
• Entanglement of Stationary States in the Presence of Unstable Quasiparticles