Abstract

We show that monopoles can be pair produced by cosmological magnetic fields in the early Universe. The pair production gives rise to relic monopoles and, at the same time, induces a self-screening of the magnetic fields. By studying these effects we derive limits on the monopole mass and also on the initial amplitude of primordial magnetic fields. Monopoles of GUT scale mass can even be produced if primordial magnetic fields exist at sufficiently high redshifts.

Highlights

  • The hypothesis that magnetic monopoles exist, albeit without any experimental evidence, has long been a subject of intense research

  • In this paper we show that monopoleantimonopole pairs can be produced by primordial magnetic fields and explore their cosmological implications

  • In order to evaluate the number of monopoles produced from primordial magnetic fields, we identify the decay rate (2.1) with the rate of pair production per unit volume per unit time

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Summary

INTRODUCTION

The hypothesis that magnetic monopoles exist, albeit without any experimental evidence, has long been a subject of intense research. By solving the monopole problem, cosmic inflation prohibits relic monopoles from a phase transition to be observed Another possible venue for monopole production is in strong magnetic fields, from which monopole-antimonopole pairs are nonperturbatively produced. A strong enough primordial magnetic field dissipates energy by the monopole pair production, and by accelerating the monopoles By evaluating these effects, we obtain consistency conditions for primordial magnetic fields to survive until today to make up the observed magnetic fields, within physical theories that contain either elementary or solitonic monopoles. We discuss the possibility of primordial magnetic fields producing an observable abundance of monopoles in the Universe, or even giving rise to a new kind of monopole problem. The magnetic charge of the monopole is typically large (e.g., g ≈ 21n for e ≈ 0.30), most of the analyses apply even if g is tiny

Vacuum decay rate
Number density
EFFECTS OF PRODUCED MONOPOLES
Magnetic field dissipation by monopole acceleration
WðxRÞ with xR e8 gm 4πp H ð3:8Þ
WðxNRÞ xNR e12
Monopole relic abundance and flux
Remarks on solitonic monopoles
Summary: A conservative bound
General limits
Further limits for solitonic monopoles
CONCLUSIONS
General formalism
Monopole velocity
Findings
Case studies of dissipation by monopole acceleration
Full Text
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