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

C. A. Dominguez; M. Loewe; Cristian Villavicencio

doi:10.1103/PhysRevD.98.034015

paper

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

arXiv:1806.10088 · doi:10.1103/PhysRevD.98.034015

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, $⟨ 0∣ α_{s} G^{2} ∣0 ⟩$ , 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