The interfacial profile in two-loop order

TL;DR

This paper analytically calculates the interfacial profile in statistical systems using two-loop renormalized field theory, revealing small loop corrections that slightly broaden the interface.

Contribution

It introduces a two-loop calculation of the interfacial profile within the local potential approximation, providing a more precise understanding of interface broadening.

Findings

Loop corrections are small but cause interface broadening.

Analytical profile function derived in the local potential approximation.

Effective potential used to two-loop order enhances understanding of interfacial structure.

Abstract

The profile of interfaces separating different phases of statistical systems is investigated in the framework of renormalized field theory. The profile function is calculated analytically in the local potential approximation, using the effective potential to two loops. It can be interpreted as an intrinsic interfacial profile. The loop corrections to the leading tanh-type term turn out to be small. They yield a broadening of the interface.