Effect of a Magnetic Field on the Broken Electroweak Symmetry

Abstract

We discuss the effect of a strong magnetic field in the behavior of the symmetry of an electrically neutral electroweak plasma. We analyze the case of a strong field and low temperatures as compared with the W rest energy. If the magnetic field is large enough, it is self-consistently maintained. It is shown that the charged vector bosons play the most important role, leading only to a decrease of the symmetry breaking parameter, the symmetry restoration not being possible.

Effect of a Magnetic Field on the Electroweak Symmetry

“…We will restrict ourselves to the case of a strong magnetic field and/or law temperatures, when the condition eB ≫ T 2 is satisfied. It can be demonstrated that, in our case, only the charged boson contribution may substantially modify the symmetry breaking parameter (see [7]). For eB ≫ T 2 , the average W boson population in excited Landau states is negligible small.…”

“…[1] For the W-sector, the effective potential Vw = V st w + V o w , where the first term is the statistical part and the second one is the Euler-Heisenberg vacuum term. We can consider Vw ≈ V st w (see [7]). [2] We write ξ 2 where i = 1, 2; κ i = 5, 1 respectively, and 0 ≤ x 1 ≤ 1/ √ 3, 1/ √ 3 ≤ x 2 ≤ 1.. Due to the fact that E is proportional to N w , we deduce that for each N w , there are two possible values of the symmetry breaking parameter y 1,2 .…”

“…We evaluate the variation of the symmetry breakdown parameter in the external field and examine the possibility of symmetry restoration. The present paper is a summarized and up-to-date version of the previous one [7].…”

Warm inflation in the presence of magnetic fields

“…It has been shown that, by deforming the contour of integration, Eqs. (17) and (18) can be written as [51,52]…”

Warm inflation in presence of magnetic fields

“…These phase transitions include the electroweak phase transition [16][17][18], with par-ticular emphasis on the baryogenesis process (See [19] for a review; see also [20]), or the supersymmetry phase transition [21]. The studies include also the effects of PMF on the cosmic background radiation (see e.g.…”