Eur. Phys. J. Plus (2022) 137: 160
https://doi.org/10.1140/epjp/s13360-022-02372-9

Regular Article

Primordial magnetic walls decay and Debye screening from proca electrodynamics and chiral torsion

¹ Departamento de Física Teórica - IF, UERJ, Rua São Francisco Xavier 524, CEP:20550, Rio de Janeiro, RJ, Maracanã, Brazil
² Institute for Cosmology and Philosophy of Nature, Trg, Florjana 16, Krizvic, Croatia

Received: 13 May 2021
Accepted: 9 January 2022
Published online: 24 January 2022

Abstract

Recently, Atryad et al have obtained [Eur Phys J C (2019)] thin domain walls of 1fm length and Debye screening in cosmic magnetic walls. This result gives rise to primordial magnetic fields and galactic dynamo seeds. In this paper, our goal is to apply dilatonic solution of Einstein–Cartan equations [L Garcia de Andrade, Class and Quantum Gravity (1999)] to a Debye screening of domain wall, to show that massive photons would have a mass of $m_{\gamma }={10}^{-46}kg$ for a torsion at GUT era of 1 MeV and ${10}^{-35}s$, and a coupling constant of ${10}^{-24}$. Another new result is that by applying Einstein–Cartan gravity dilatonic domain wall metric to primordial magnetic fields, it is possible to show that they survive from EC domain wall decay for positive torsion chirality. Magnetic fields parallel to the wall decay, whereas magnetic fields orthogonal to the wall survive. This is in accordance with the fact that, spin nucleons are aligned orthogonal to the wall [Garcia de Andrade, Ann Phys (2021)]. When approaching Big Bang, domain wall tends to be stable, and magnetic fields parallel to the wall do not decay. Moreover, applying dilatonic wall metric to Debye screening results that metric-torsion induces an amplification in Debye length. Gravitationally repulsive charged domain walls as Einstein–Cartan gravity solutions are also investigated, and relation to wormhole geometry is addressed.