Motion of a charged fermion with an anomalous magnetic moment in magnetized media

2018

EPJ Web Conf.

We study the generation of an electric current, along the external magnetic field, of fermions, interacting by parity violating electroweak forces with background matter. First, we discuss the situation of massive particles with nonzero anomalous magnetic moments. We show that the induced current is vanishing for such particles in the state of equilibrium. Then, the case of massless fermions is studied. We demonstrate that the contribution of the electroweak interaction is washed out from the expression for the current, which turns out to coincide with the prediction of the chiral magnetic effect. Our results are compared with findings of other authors. *

“…The wave function of a positron can be obtained from Eqs. (12) and (13) by applying the charge conjugation ψē = iγ 2 ψ * e and setting λ = −1 in Eq. (15).…”

Section: Induced Electric Current Of Massless Fermions Electroweakly mentioning

confidence: 99%

Electric current induced by an external magnetic field in the presence of electroweak matter

2018

EPJ Web Conf.

“…Earlier this equation for an electron was solved in Refs. [17,18] using the standard representation of the Dirac matrices.…”

Section: A Calculation Of the Induced Currentmentioning

confidence: 99%

“…The spin coefficients for n > 0 also were found in Refs. [17,18], using the standard representation of the Dirac matrices. Since we choose the chiral representation, which is more convenient for our purposes, we just briefly list the main results.…”

Section: A Calculation Of the Induced Currentmentioning

confidence: 99%

See 1 more Smart Citation

Equilibrium electric current of massive electrons with anomalous magnetic moments induced by a magnetic field and the electroweak interaction with matter

2018

Int. J. Mod. Phys. A

We study the possibility of the existence of the electric current, formed by massive electrons and positrons, flowing along an external magnetic field. The charged fermions are supposed to have nonzero anomalous magnetic moments and electroweakly interact with background matter. The expression for the current is obtained on the basis of the exact solution of the Dirac equation in the corresponding external fields. We demonstrate that, in the state of equilibrium, such a current is vanishing for any characteristics of the electron-positron plasma as well as the external fields. Our results are compared with the recent findings of other authors. * maxdvo@izmiran.ru

“…The contributions of the higher energy levels with n > 0 to J z can be obtained using the expressions for the spin coefficients C i also found in Ref. [11],…”

mentioning

confidence: 99%

Magnetic Field Instability Driven by Anomalous Magnetic Moments of Massive Fermions and the Electroweak Interaction with Background Matter

2017

Jetp Lett.

It is shown that the electric current of massive fermions along the external magnetic field can be excited in the case when particles possess anomalous magnetic moments and electroweakly interact with background matter. This current is calculated on the basis of the exact solution of the Dirac equation in the external fields. It is shown that the magnetic field becomes unstable if this current is taken into account in the Maxwell equations. Considering a particular case of a degenerate electron gas, which can be found in a neutron star, it is revealed that the seed magnetic field can be significantly enhanced. The application of the results to astrophysics is also discussed. * maxdvo@izmiran.ru