Published in Physics Reports, Vol. 348, Issue 3, pp. 163-266.
astro-ph/0009061.

For a PDF version of the article, click here.
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MAGNETIC FIELDS IN THE EARLY UNIVERSE

Dario Grasso 1 and Hector R. Rubinstein 2

1 Dipartimento di Fisica "G. Galilei", Università di Padova,
Via Marzolo, 8, I-35131 Padova, Italy,
dario.grasso@pd.infn.it

and
I.N.F.N. Sezione di Padova.
2 Department of Theoretical Physics, Uppsala University,
Box 803, S-751 08 Uppsala, Sweden,
and
Fysikum, Stockholm University, Box 6730, 113 85 Stockholm, Sweden.
rub@physto.se


Abstract. This review concerns the origin and the possible effects of magnetic fields in the early Universe. We start by providing to the reader with a short overview of the current state of art of observations of cosmic magnetic fields. We then illustrate the arguments in favour of a primordial origin of magnetic fields in the galaxies and in the clusters of galaxies. We argue that the most promising way to test this hypothesis is to look for possible imprints of magnetic fields on the temperature and polarization anisotropies of the cosmic microwave background radiation (CMBR). With this purpose in mind, we provide a review of the most relevant effects of magnetic fields on the CMBR. A long chapter of this review is dedicated to particle physics inspired models which predict the generation of magnetic fields during the early Universe evolution. Although it is still unclear if any of these models can really explain the origin of galactic and intergalactic magnetic fields, we show that interesting effects may arise anyhow. Among these effects, we discuss the consequences of strong magnetic fields on the big-bang nucleosynthesis, on the masses and couplings of the matter constituents, on the electroweak phase transition, and on the baryon and lepton number violating sphaleron processes. Several intriguing common aspects, and possible interplay, of magnetogenesis and baryogenesis are also dicussed.


Table of Contents

INTRODUCTION

THE RECENT HISTORY OF COSMIC MAGNETIC FIELDS
Observations
The alternative: dynamo or primordial ?
Magnetic fields and structure formation
The evolution of primordial magnetic fields

EFFECTS ON THE COSMIC MICROWAVE BACKGROUND
The effect of a homogeneous magnetic field
The effect on the acoustic peaks
Dissipative effects on the MHD modes
Effects on the CMBR polarization

CONSTRAINTS FROM THE BIG BANG NUCLEOSYNTHESIS
The effect of a magnetic field on the neutron-proton conversion rate
The effects on the expansion and cooling rates of the Universe
The effect on the electron thermodynamics
Derivation of the constraints
Neutrino spin-oscillations in the presence of a magnetic field

GENERATION OF MAGNETIC FIELDS
Magnetic fields from primordial vorticity
Magnetic fields from the quark-hadron phase transition
Magnetic fields from the electroweak phase transition
Magnetic fields from a turbulent charge flow
Magnetic fields from Higgs field equilibration
Magnetic helicity and electroweak baryogenesis
Magnetic fields from inflation
Magnetic fields from cosmic strings

PARTICLES AND THEIR COUPLINGS IN THE PRESENCE OF STRONG MAGNETIC FIELDS
Low Lying States for Particles in Uniform Magnetic Fields
Protons in an External Field
Neutrons in an External Field
Electrons in an External Field
Effects of Magnetic Fields on Strong Forces
Proton Life Time
Decay Rates and Spectrum
Caveats and Limitations
Proton neutron mass difference by a lattice calculation
Screening of Very Intense Magnetic Fields by chiral symmetry breaking
The effect of strong magnetic fields on the electroweak vacuum
The electroweak phase transition in a magnetic field
Sphalerons in strong magnetic fields

CONCLUSIONS

REFERENCES

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