Droplet-mediated long-range interfacial correlations. Exact field theory for entropic repulsion effects

A bstract We consider near-critical two-dimensional statistical systems at phase coexistence on the half plane with boundary conditions leading to the formation of a droplet separating coexisting phases. General low-energy properties of two-dimensional field theories are used in order to find exact...

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Bibliographic Details
Published in:The journal of high energy physics 2023-03, Vol.2023 (3), p.123-40, Article 123
Main Authors: Squarcini, Alessio, Tinti, Antonio
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary Quantum Field Theory
Classical and Quantum Gravitation
Droplets
Elementary Particles
Energy
Field Theories in Lower Dimensions
Field theory
Half planes
High energy physics
Integrable Field Theories
Interfaces
Mathematical analysis
Nonperturbative Effects
Order parameters
Phase transitions
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Statistical analysis
String Theory
Structure factor
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Summary:A bstract We consider near-critical two-dimensional statistical systems at phase coexistence on the half plane with boundary conditions leading to the formation of a droplet separating coexisting phases. General low-energy properties of two-dimensional field theories are used in order to find exact analytic results for one- and two-point correlation functions of both the energy density and order parameter fields. The subleading finite-size corrections are also computed and interpreted within an exact probabilistic picture in which interfacial fluctuations are characterized by the probability density of a Brownian excursion. The explicit analysis of the closed-form expression for order parameter correlations reveals the long-ranged character of interfacial correlations and their confinement within the interfacial region. The analysis of correlations is then carried out in momentum space through the notion of interface structure factor, which we extend to the case of systems bounded by a flat wall. The presence of the wall and its associated entropic repulsion leads to a specific term in the interface structure factor which we identify.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2023)123