QCD determination of the magnetic field dependence of QCD and hadronic parameters

TL;DR

This paper uses finite energy QCD sum rules to analyze how key QCD and hadronic parameters depend on an external magnetic field, providing insights into non-perturbative QCD effects under magnetic influence.

Contribution

It introduces a method to determine the magnetic field dependence of multiple QCD parameters using finite energy sum rules, connecting theoretical predictions with lattice QCD insights.

Findings

Magnetic field dependence of quark masses and pion decay constant determined

Gluon condensate and perturbative threshold s_0 analyzed under magnetic influence

Results enhance understanding of QCD behavior in magnetic fields

Abstract

A set of four Finite Energy QCD sum rules are used to determine the magnetic field dependence of the sum of the up- and down-quark masses of QCD, $(m_u + m_d)$, the pion decay constant $f_\pi$, the pion mass $m_\pi$, the gluon condensate, $\langle 0| \alpha_s\, G^2|0\rangle$, and the squared energy threshold for the onset of perturbative QCD, $s_0$, related to the Polyakov loop of lattice QCD.