Influence the effect of long-range interaction on critical behavior of the three-dimentional systems

TL;DR

This paper investigates how long-range interactions affect the critical behavior of three-dimensional Ising systems using field theory and renormalization group analysis, revealing potential changes in phase transition types.

Contribution

It provides a theoretical analysis of long-range interactions' impact on critical phenomena in 3D systems using two-loop approximation and Pade-Borel resummation.

Findings

Long-range interactions can alter the mode of critical behavior.

They can change the type of phase transition.

The analysis uses two-loop approximation and fixed point analysis.

Abstract

It Is realized the theoretic - field description of Ising systems behaviour with effect of long-range interaction in two-loop approximation in three-dimensional space with using Pade-Borel resummation technique. The renorm-group equations are analysed and it is chosen fixed points, defining critical behaviour of the system. It Is shown that the influence effect of long-range interaction can bring as to change the mode of the critical behaviour, so and to change the type of the phase transition.