On the problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions

Abstract

The problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions is addressed by considering a particular nonlocal correlation function, called row configuration probability. This correlation function can be used as building block for computing various (both local and nonlocal) correlation functions in the model. The row configuration probability is calculated using the quantum inverse scattering method; the final result is given in terms of a multiple integral. The connection with the emptiness formation probability, another nonlocal correlation function which was computed elsewhere using similar methods, is also discussed.

15 pages, 2 figures

References in corpus (5)

• Integral Formulas for the Asymmetric Simple Exclusion Process
• The arctic curve of the domain-wall six-vertex model
• Emptiness formation probability in the domain-wall six-vertex model
• The limit shape of large alternating sign matrices
• Boundary correlation functions of the six and nineteen vertex models with domain wall boundary conditions

Cited by in corpus (10)

• Partial domain wall partition functions
• Multiply-refined enumeration of alternating sign matrices
• The frustration-free fully packed loop model
• Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions
• Generalized emptiness formation probability in the six-vertex model
• Coupled Fredkin and Motzkin chains from quantum six- and nineteen-vertex models
• Exact time evolution formulae in the XXZ spin chain with domain wall initial state
• Integral formulas and antisymmetrization relations for the six-vertex model
• Finite-size scaling of free energy in the dimer model on a hexagonal domain
• Scaling limit of domino tilings on a pentagonal domain