Form factor approach to diagonal finite volume matrix elements in Integrable QFT

Abstract

We derive an exact formula for finite volume excited state mean values of local operators in 1+1 dimensional Integrable QFT with diagonal scattering. Our result is a non-trivial generalization of the LeClair-Mussardo series, which is a form factor expansion for finite size ground state mean values.

29 pages

References in corpus (5)

• Review of AdS/CFT Integrability: An Overview
• 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
• Luscher's mu-term and finite volume bootstrap principle for scattering states and form factors
• Determining matrix elements and resonance widths from finite volume: the dangerous mu-terms

Cited by in corpus (16)

• Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
• HHL correlators, orbit averaging and form factors
• Generalized hydrodynamics regime from the thermodynamic bootstrap program
• Local correlations in the attractive 1D Bose gas: from Bethe ansatz to the Gross-Pitaevskii equation
• Diagonal Form Factors and Heavy-Heavy-Light Three-Point Functions at Weak Coupling
• Hexagons and Correlators in the Fishnet Theory
• LeClair-Mussardo series for two-point functions in Integrable QFT
• Classical limit of diagonal form factors and HHL correlators
• Exact finite volume expectation values of local operators in excited states
• One-point functions in finite volume/temperature: a case study
• Leading exponential finite size corrections for non-diagonal form factors
• Field theoretical derivation of Lüscher's formula and calculation of finite volume form factors
• Exact finite volume expectation values of $\bar{\Psi }\Psi$ in the Massive Thirring model from light-cone lattice correlators
• Diagonal Form Factors and Hexagon Form Factors II. Non-BPS Light Operator
• Lattice approach to finite volume form-factors of the Massive Thirring/Sine-Gordon model
• Finite volume form factors in integrable theories