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.

49 pages, 3 figures

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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