Chiral and non-chiral spinning string dynamo instability from quantum torsion sources

Abstract

In this paper dynamo instability is investigated by making use of a condensed matter screw dislocation model of spinning cosmic strings in the framework of teleparallel T4 spacetime, The magnetic field is encoded into the T4 metric tensor. By using quantum torsion from quantisation flux dependence on the spin angular momentum of strings, one is able to obtain dynamo instability where chiral currents grow exponentially as in Witten superconducting cosmic string (SCS) dynamos. Our results are compared to Galitsky et al. (2018), who have investigated dynamo instability from Weyl semimetals, showing that chiral anomaly term reduces the Reynolds number for dynamo instability. String dynamos in the framework of Einstein–Cartan (EC) (Garcia de Andrade, 2014) cosmology have been previously addressed. Moreover, it is shown that dynamo strings possess a monopole singularity at Big Bang. Topological defects dynamos, such as torsion spin-polarised fermions orthogonal to the wall (Garcia de Andrade, 2021) have been obtained from torsional anomalies sources. Galitski et al also discovered that chiral anomalies help dynamo effect in real magnetic fields. Non-chiral solutions where the current is along the string but the magnetic field is not, such as in pion string dynamo [Gwyn et al. Phys Rev D] are obtained from the Heaviside step function which tells us that the magnetic field grows, in the plane above z=0 where the spinning string crosses the plane, and vanishes below the crossing plane.