| dc.description.abstract | In this work, we investigate the effect of a magnetic field background to the pion electromagnetic form factor. We face this problem through the Finite Energy Sum Rule (FESR)
program, where a suitable current correlation function, built of Quantum Chromodynamics (QCD) degrees of freedom, is used to establish a map to the hadronic world and then
extracting then the form factor. The magnetic field effects are encoded in the perturbative QCD side through the fermionic propagator in the presence of a magnetic field
background, known as Schwinger propagator. We analyze the strong and weak magnetic
field limits. For the weak field limit, the current correlator can be written as an expansion
in powers of eB. We restricted the calculation to first order in eB leading to anomalous
results which must be improved. However, for the strong field limit, we applied the Landau level expansion of the Schwinger propagator and consider up to the first Landau
level leading to a proper FESR. The numerical results show that a strong magnetic field
increases the pion form factor several times. For example, for a fixed magnetic field of
eB = 1 GeV2
the pion form factor can be four times larger. This result affects directly
the electron-pion scattering cross section which is also connected to the Sullivan process,
leading to potential effects of the magnetic field on collider experiments.In this work, we investigate the effect of a magnetic field background to the pion electromagnetic form factor. We face this problem through the Finite Energy Sum Rule (FESR)
program, where a suitable current correlation function, built of Quantum Chromodynamics (QCD) degrees of freedom, is used to establish a map to the hadronic world and then
extracting then the form factor. The magnetic field effects are encoded in the perturbative QCD side through the fermionic propagator in the presence of a magnetic field
background, known as Schwinger propagator. We analyze the strong and weak magnetic
field limits. For the weak field limit, the current correlator can be written as an expansion
in powers of eB. We restricted the calculation to first order in eB leading to anomalous
results which must be improved. However, for the strong field limit, we applied the Landau level expansion of the Schwinger propagator and consider up to the first Landau
level leading to a proper FESR. The numerical results show that a strong magnetic field
increases the pion form factor several times. For example, for a fixed magnetic field of
eB = 1 GeV2
the pion form factor can be four times larger. This result affects directly
the electron-pion scattering cross section which is also connected to the Sullivan process,
leading to potential effects of the magnetic field on collider experiments. | |
