Universal Ratios of the Renormalization Group

TL;DR

This paper discusses how universal ratios of thermodynamic amplitudes near critical points can be computed using Quantum Field Theory methods, aiding in classifying universality classes and connecting theory with experiments.

Contribution

It introduces a method to calculate universal ratios for a specific universality class using Quantum Field Theory techniques.

Findings

Universal ratios can be derived from Quantum Field Theory.

These ratios help classify universality classes.

The approach links theoretical predictions with experimental measurements.

Abstract

The scaling form of the free--energy near a critical point allows for the definition of various universal ratios of thermodynamical amplitudes. Together with the critical exponents they characterize the universality classes and may be useful experimental quantities. We show how these universal quantities can be computed for a particular class of universality by using several Quantum Field Theory methods