Multipoint correlation functions at phase separation. Exact results from field theory

Abstract

We consider near-critical two-dimensional statistical systems with boundary conditions inducing phase separation on the strip. By exploiting low-energy properties of two-dimensional field theories, we compute arbitrary $n$-point correlation of the order parameter field. Finite-size corrections and mixed correlations involving the stress tensor trace are also discussed. As an explicit illustration of the technique, we provide a closed-form expression for a three-point correlation function and illustrate the explicit form of the long-ranged interfacial fluctuations as well as their confinement within the interfacial region.

arXiv comment49 pages, 3 figures

References in corpus (23)

• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Universal amplitude ratios in the two-dimensional $q$-state Potts model and percolation from quantum field theory
• Enhanced wavelength-dependent surface tension of liquid-vapour interfaces
• One-point functions in massive integrable QFT with boundaries
• Stress-Energy Tensor and Ultraviolet Behaviour in Massive Integrable Quantum Field Theories
• Universal amplitude ratios in the two-dimensional Ising model
• On the boundary form factor program
• Phase separation in a wedge. Exact results
• Phase separation and interface structure in two dimensions from field theory
• Exact theory of intermediate phases in two dimensions
• First order phase transitions and integrable field theory. The dilute q-state Potts model
• Interfaces and wetting transition on the half plane. Exact results from field theory
• Multiple phases and vicious walkers in a wedge
• Boundary conditions changing operators in non conformal theories
• Long range correlations generated by phase separation. Exact results from field theory
• Correlations and structure of interfaces in the Ising model. Theory and numerics
• Correlators in integrable quantum field theory. The scaling RSOS models
• Action at a distance in classical uniaxial ferromagnetic arrays
• Interface localization near criticality
• Structure of interfaces at phase coexistence. Theory and numerics
• Four-point interfacial correlation functions in two dimensions. Exact results from field theory and numerical simulations
• Boundary S-matrix for the Integrable q-Potts Model
• On form factors of boundary changing operators

Cited by in corpus (2)

• Correlations and structure of interfaces in the Ising model. Theory and numerics
• Four-point interfacial correlation functions in two dimensions. Exact results from field theory and numerical simulations