Galvano-rotational effect induced by electroweak interactions in pulsars

Abstract

We study electroweakly interacting particles in rotating matter. The existence of the electric current along the axis of the matter rotation is predicted in this system. This new galvano-rotational effect is caused by the parity violating interaction between massless charged particles in the rotating matter. We start with the exact solution of the Dirac equation for a fermion involved in the electroweak interaction in the rotating frame. This equation includes the noninertial effects. Then, using the obtained solution, we derive the induced electric current which turns out to flow along the rotation axis. We study the possibility of the appearance of the galvano-rotational effect in dense matter of compact astrophysical objects. The particular example of neutron and hypothetical quark stars is discussed. It is shown that, using this effect, one can expect the generation of toroidal magnetic fields comparable with poloidal ones in old millisecond pulsars. We also briefly discuss the generation of the magnetic helicity in these stars. Finally we analyze the possibility to apply the galvano-rotational effect for the description of the asymmetric neutrino emission from a neutron star to explain pulsars kicks.

Magnetoelectric Effect in Lorentz-violating Extensions of the Standard Model

“…In search of such an effect, we thus take b µ = (b, 0) in the rest frame of the nucleus and assume b to be small. Note that similar effects, having to do with mixing of electric and magnetic observables, have been discussed recently to appear in core-collapse supernovae, Weyl semimetals, and heavy-ion collisions [7][8][9].…”

Magnetic fields in turbulent quark matter and magnetar bursts

“…The explicit form of these coefficients can be found analogously to Ref. [13]. Then, accounting for the chosen number densities of quarks in QS, n q = n 0 /3, we get that V 5u = 1.1 eV and V 5d = 4.1 eV.…”

“…The explicit expression for V 5q in ud quark matter was found in Ref. [13]. It is proportional to the number densities of quarks,…”

Neutrino induced vorticity, Alfvén waves and the normal modes

“…e w e × S e ; (31) in general, for a magnetised medium with magnetisation density M we can write the free current density j = ∇×B μ 0 − j M , where j M = ∇ × M is the magnetisation current density. Note that here we have discarded the displacement current term ∂ E ∂t .…”

“…Though this assumption is justifiable for a core collapsing supernova, it is hard to satisfy in other scenarios like the early Universe. Electroweak plasma in a rotating matter is studied in [31]. In this work it is shown that the electric current can be induced in the direction of the rotation axis due to the parity violating nature of the interaction.…”