Magnetic effects of QCD parameters from fnite energy sum rules

Cristián Villavicencio,C A Dominguez,M Loewe

doi:10.1088/1742-6596/1602/1/012027

Abstract

One of the advantages of the fnite 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 feld, providing interesting information about the magnetic evolution of QCD and hadronic parameters. In this work fnite 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 feld, obtaining the magnetic evolution of the light quark masses, pion mass, the pion decay constant, the gluon condensate and the continuum hadronic threshold.

Highlights

The increasing interest in the study of magnetic field effects in quantum chromodynamics (QCD), mainly in the search of the chiral magnetic effect in relativistic heavy ion collision experiments, as well as the interior of magnetars, has produced a variety of interesting and different techniques in order to obtain the modification of particle parameter due to the interaction with the medium
A typical approximation is the use of the lowest Landau level, which is the main tool to explore QCD under highly magnetized conditions
The most studied object in this case is the quark condensate, which in our case is obtained from Nambu–Jona-Lasinio (NJL) model results [5], which agree with lattice QCD (LQCD) [6], so we will use as an input the NJL chiral condensate at finite magnetic field normalized by its value at B = 0

Summary

Introduction

The increasing interest in the study of magnetic field effects in quantum chromodynamics (QCD), mainly in the search of the chiral magnetic effect in relativistic heavy ion collision experiments, as well as the interior of magnetars, has produced a variety of interesting and different techniques in order to obtain the modification of particle parameter due to the interaction with the medium. The finite energy sum rules (FESR) will be employed in the presence of an external magnetic field in order to obtain the magnetic evolution for hadronic We use as an input the charged pion mass and the pion decay constant, in order to obtain, as a result, all the other parameters.

Results

Conclusion