Spontaneous symmetry breaking and optimization of functional renormalization group

TL;DR

This paper optimizes the functional renormalization group equations in sine-Gordon theory by using the absence of spontaneous symmetry breaking in one dimension, identifying the optimal regulator parameters beyond the local potential approximation.

Contribution

It introduces a new optimization method based on symmetry considerations and determines the optimal CSS regulator parameters, improving the accuracy of FRG calculations.

Findings

Litim limit of CSS regulator is optimal

Optimization improves regulator dependence

Results compare favorably with existing methods

Abstract

The requirement for the absence of spontaneous symmetry breaking in the d=1 dimension has been used to optimize the regulator dependence of functional renormalization group equations in the framework of the sine-Gordon scalar field theory. Results obtained by the optimization of this kind were compared to those of the Litim-Pawlowski and the principle of minimal sensitivity optimization scenarios. The optimal parameters of the compactly supported smooth (CSS) regulator, which recovers all major types of regulators in appropriate limits, have been determined beyond the local potential approximation, and the Litim limit of the CSS was found to be the optimal choice.