Phase diagram of Model C in the parametric space of order parameter and space dimensions

TL;DR

This paper investigates the phase diagram of Model C, analyzing how different scaling regimes depend on the order parameter and space dimensions using advanced renormalization group techniques.

Contribution

It provides a detailed phase diagram of Model C in the (n, d) space, identifying conditions for various scaling regimes through high-order RG calculations.

Findings

Identified borders between different scaling regimes in the (n, d) plane.

Calculated phase boundaries using $mbda$-expansions and fixed dimension approaches.

Mapped the conditions for the realization of distinct dynamical behaviors.

Abstract

The scaling behavior of model C describing the dynamical behaviour of the $n$-component nonconserved order parameter coupled statically to a scalar conserved density is considered in $d$-dimensional space. Conditions for the realization of different types of scaling regimes in the $(n,d)$ plane are studied within the field-theoretical renormalization group approach. Borders separating these regions are calculated on the base of high-order RG functions using $\epsilon$-expansions as well as by fixed dimension $d$ approach with resummation.