Precision calculation of universal amplitude ratios in $O(N)$ universality classes: Derivative Expansion results at order $\mathcal{O}(\partial^4)$

Gonzalo De Polsi; Guzm\'an Hern\'andez-Chifflet; Nicol\'as Wschebor

Precision calculation of universal amplitude ratios in O(N) universality classes: Derivative Expansion results at order mathcal{O}(partial⁴)

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arxiv 2109.14731 v2 pith:KYWPN55V submitted 2021-09-29 cond-mat.stat-mech hep-th

Precision calculation of universal amplitude ratios in O(N) universality classes: Derivative Expansion results at order mathcal{O}(partial⁴)

Gonzalo De Polsi , Guzm\'an Hern\'andez-Chifflet , Nicol\'as Wschebor This is my paper

classification cond-mat.stat-mech hep-th

keywords computationcriticalderivativeexpansionamplitudegroupmathcalnon-perturbative

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In the last few years the derivative expansion of the Non-Perturbative Renormalization Group has proven to be a very efficient tool for the precise computation of critical quantities. In particular, recent progress in the understanding of its convergence properties allowed for an estimate of the error bars as well as the precise computation of many critical quantities. In this work we extend previous studies to the computation of several universal amplitude ratios for the critical regime of $O(N)$ models using the derivative expansion of the Non-Perturbative Renormalization Group at order $\mathcal{O}(\partial^4)$ for three dimensional systems.

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Functional Dimensional Regularization for O(N) Models
hep-th 2026-04 unverdicted novelty 5.0

Functional dimensional regularization applied to the O(N) universality class yields critical exponents comparable to advanced non-perturbative methods while retaining efficiency and rapid convergence.