Magnetic correction to the Anomalous Magnetic Moment of Electron

Abstract

We investigate the leading order correction of anomalous magnetic moment (AMM) to the electron in weak magnetic field and find that the magnetic correction is negative and magnetic field dependent, indicating a magnetic catalysis effect for the electron gas. In the laboratory to measure the g − 2, the magnitude of the magnetic field B is several T, correspondingly the magnetic correction to the AMM of electron/muon is around 10 −34 /10 −42 , therefore the magnetic correction can be safely neglected in current measurement. However, when the magnitude of the magnetic field strength is comparable with the electron mass, the magnetic correction of electron's AMM will become considerable. This general magnetic correction to charged fermion's AMM can be extended to study QCD matter under strong magnetic field.

Magnetism of QCD matter and pion mass from tensor-type spin polarization and anomalous magnetic moment of quarks

“…Once the temperature increases and exceeds the critical point T c , κ decreases and turns to zero implying dynamical AMM disappears while the chiral symmetry restores. In [57], the AMM of electron under magnetic field has been calculated and it was shown that it is proportional to the m 2 , therefore, we can extend it to QCD as κ = vσ 2 with v = 2.30.…”

“…However, the AMM of electron under external magnetic field has been calculated in Ref. [57], and the result shows a magnetic dependent AMM, which motivates us to study the magnetic dependent AMM effect on properties of magnetized quark matter and hadron.…”