A Holographic Bound on Cosmic Magnetic Fields

TL;DR

This paper derives a theoretical upper limit on cosmic magnetic field strength during the early universe using holographic principles, constraining models of magnetogenesis.

Contribution

It introduces a holographic bound on magnetic fields in the early universe, linking cosmology with AdS black hole physics.

Findings

Upper bound on magnetic field strength: ~3.6 x 10^{18} gauss.

Bound is above typical values in some magnetogenesis models.

Holography constrains early universe magnetic field intensities.

Abstract

Magnetic fields large enough to be observable are ubiquitous in astrophysics, even at extremely large length scales. This has led to the suggestion that such fields are seeded at very early (inflationary) times, and subsequently amplified by various processes involving, for example, dynamo effects. Many such mechanisms give rise to extremely large magnetic fields at the end of inflationary reheating, and therefore also during the quark-gluon plasma epoch of the early universe. Such plasmas have a well-known holographic description in terms of a thermal asymptotically AdS black hole. We show that holography imposes an upper bound on the intensity of magnetic fields ($\approx \; 3.6 \times 10^{18}\;\; \text{gauss}$ at the hadronization temperature) in these circumstances; this is above, but not far above, the values expected in some models of cosmic magnetogenesis.