Once again on electromagnetic properties of a domain wall interacting with charged fermions

Abstract

The response to a magnetic flux is considered of the vacuum state of charged Dirac fermions interacting with a domain wall made of a neutral spinless field in (3+1) dimensions with the fermion mass having a phase variation across the wall. It is pointed out that due to simple C parity arguments the spontaneous magnetization for this system is necessarily zero, thus invalidating some claims to the contrary in the literature. The cancellation of the spontaneous magnetization is explicitly demonstrated in a particular class of models. The same calculation produces a general formula for the electric charge density induced by the magnetic flux -- an effect previously discussed in the literature for axionic domain walls. The distribution of the induced charge is calculated in specific models.

15 pages

References in corpus (2)

• Primordial galactic magnetic fields from domain walls at the QCD phase transition
• No Primordial Magnetic Field from Domain Walls

Cited by in corpus (5)

• Axial anomaly and magnetism of nuclear and quark matter
• Factorization for Power Corrections to B->Xs gamma and B-> Xu e nu
• Remarks on Decay of Defects with Internal Degrees of Freedom
• Baryogenesis and CP-Violating Domain Walls in the Background of a Magnetic Field
• On the Primordial Magnetic Field from Domain Walls