Critical Dynamics of Three-Dimensional Spin Systems with Long-Range Interactions

TL;DR

This paper develops a field-theoretic model for three-dimensional Ising systems with long-range interactions, revealing how these interactions influence critical behavior and relaxation times.

Contribution

It provides a two-loop approximation in three dimensions for the critical dynamics of long-range interacting spin systems, advancing theoretical understanding.

Findings

Long-range interactions modify the relaxation time of the system.

The two-loop approximation offers detailed insights into critical behavior.

Long-range effects are explicitly incorporated into the field-theoretic framework.

Abstract

A field-theoretic description of critical behavior of Ising systems with long-range interactions is obtained in the two-loop approximation directly in the three-dimensional space. It is shown that long-range interactions affect the relaxation time of the system.