Direct Calculation of the Critical Effective Potential

TL;DR

This paper presents a method to compute the critical effective potential at phase transitions using renormalization group flow, applied to the Ising model beyond leading order with a full field-dependent potential.

Contribution

It introduces a simplified approach to calculate the critical effective potential directly from an ordinary differential equation, extending analysis beyond leading order.

Findings

Successful calculation of the critical effective potential for the Ising model

Demonstration of the method's effectiveness beyond leading order

Potential for simplified nonperturbative analysis in phase transition studies

Abstract

The critical effective potential is the nonperturbative part of the effective action at a phase transition. It equals the scale invariant effective average potential and can be calculated from the renormalization group flow of the effective average action. In some cases this requires only the solution of an ordinary differential equation without actually simulating the renormalization group flow. Here the Ising model is examined beyond leading order and with full field dependent effective potential.