Spontaneous magnetization of the vacuum and the strength of the magnetic field in the hot Universe

Abstract

Intergalactic magnetic fields are assumed to have been spontaneously generated at the reheating stage of the early Universe, due to vacuum polarization of non-Abelian gauge fields at high temperature. The fact that the screening mass of this type of fields has zero value was discovered recently. A procedure to estimate their field strengths, $B(T)$, at different temperatures is here developed, and the value $B(T_{ew})\sim 10^{14}G$ at the electroweak phase transition temperature, is derived by taking into consideration the present value of the intergalactic magnetic field strength, $B_0\sim 10^{-15}G$, coherent on the $\sim 1$ Mpc scale. As a particular case, the standard model is considered and the field scale at high temperature is estimated in this case. Model dependent properties of the phenomena under investigation are briefly discussed, too.

18 pages. arXiv admin note: substantial text overlap with arXiv:1106.4962

References in corpus (5)

• Evidence for strong extragalactic magnetic fields from Fermi observations of TeV blazars
• Determination of intergalactic magnetic fields from gamma ray data
• Polarization tensor of charged gluons in color magnetic background field at finite temperature
• Neutral gluon polarization tensor in color magnetic background at finite temperature
• Long range chromomagnetic fields at high temperature

Cited by in corpus (3)

• Primordial Magnetogenesis in a Bouncing Universe
• Spontaneous magnetization of a vacuum in the hot Universe and intergalactic magnetic fields
• Magnetized quark-gluon plasma at the LHC