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

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 $f_π$, the pion mass $m_π$, the gluon condensate, $\langle 0| α_s\, G^2|0\rangle$, and the squared energy threshold for the onset of perturbative QCD, $s_0$, related to the Polyakov loop of lattice QCD.

11 pages, 10 figures, version to appear in Physical Review D