Magnetic effects of QCD parameters from finite energy sum rules

Abstract

One of the advantages of the finite energy sum rules is the fact that every operator in the operator product expansion series can be selected individually by the use of an appropriate kernel function which removes other operator poles. This characteristic is maintained by QCD systems in the presence of external homogeneous magnetic field, providing interesting information about the magnetic evolution of QCD and hadronic parameters. In this work finite energy sum rules are applied on QCD in the light quark sector, combining axial and pseudoscalar channels in the presence of an external homogeneous magnetic field, obtaining the magnetic evolution of the light quark masses, pion mass, the pion decay constant, the gluon condensate and the continuum hadronic threshold.

arXiv comment8 pages, 6 figures, contribution to proceedings of the 36th Winter Workshop on Nuclear Dynamics (WWND 2020)

References in corpus (6)

• Chiral perturbation theory in a magnetic background - finite-temperature effects
• The weak-field expansion for processes in a homogeneous background magnetic field
• The Quark and Gluon Condensates and Low-Energy QCD Theorems in a Magnetic Field
• Charged pion masses under strong magnetic fields in the NJL model
• Chiral corrections to the $SU(2)\times SU(2)$ Gell-Mann-Oakes-Renner relation
• QCD determination of the magnetic field dependence of QCD and hadronic parameters

Cited by in corpus (3)

• Magnetic field dependence of nucleon parameters from QCD sum rules
• Nucleon axial-vector coupling constant in magnetar environments
• Finite-energy sum rules at finite chemical potential and zero temperature