Role of Charged Gauge Fields in Generating Magnetic Seed Fields in Bubble Collisions during the Cosmological Electroweak Phase Transition

Abstract

We calculate the magnetic field generated during bubble collisions in a first-order electroweak phase transition that may occur for some choices of parameters in the minimal supersymmetric Standard Model. We show that for sufficiently gentle collisions, where the Higgs field is relatively unperturbed in the bubble overlap region, the equations of motion can be linearized so that in the absence of fermions the charged W fields are the source of the electromagnetic current for generating the seed fields. Solutions of the equations of motion for the charged gauge fields and Maxwell's equations for the magnetic field in O(1,2) space-time symmetry are expressed in closed form by applying boundary conditions at the time of collision. Our results indicate that the magnetic fields generated by charged $W^{\pm }$ fields in the collision are comparable to those found in previous work. The magnetic fields so produced could seed galactic and extra-galactic magnetic fields observed today.

arXiv comment15 Pages, 7 Figures

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Cited by in corpus (18)

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• Gravitational Radiation Generated by Cosmological Phase Transition Magnetic Fields
• Primordial magnetic field limits from cosmological data
• Polarized Gravitational Waves from Cosmological Phase Transitions
• The evolution of primordial magnetic field since its generation
• Magnetic field generation from bubble collisions during first-order phase transition
• Symmetry restoration at finite temperature with weak magnetic fields
• Statistical Properties of Scale-Invariant Helical Magnetic Fields and Applications to Cosmology
• Detecting circular polarisation in the stochastic gravitational-wave background from a first-order cosmological phase transition
• Magnetic Seed Field Generation from Electroweak Bubble Collisions, with Bubble Walls of Finite Thickness
• EWPT Nucleation With MSSM and Electromagnetic Field Creation
• Magnetogenesis from axion-SU(2) inflation
• Electroweak Phase Transition in an Inert Complex Triplet Model
• Dark Mass Creation During EWPT Via Dark Energy Interaction