Phase Equilibration and Magnetic Field Generation in U(1) Bubble Collisions

Details Phase Equilibration and Magnetic Field Generation in U(1) Bubble Collisions Phase Equilibration and Magnetic Field Generation in U(1) Bubble Collisions

1999-07-20

arxiv.org/abs/hep-ph/9907437v1

Phys.Rev. D61 (2000) 105005

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 41 pages, 6 figures, submitted to Physical Review D

Scientific paper

10.1103/PhysRevD.61.105005

We present the results of lattice computations of collisions of two expanding bubbles of true vacuum in the Abelian Higgs model with a first-order phase transition. New time-dependent analytical solutions for the Abelian field strength and the phase of the complex field are derived from initial conditions inferred from linear superposition and are shown to be in excellent agreement with the numerical solutions especially for the case where the initial phase difference between the bubbles is small. With a step-function approximation for the initial phase of the complex field, solutions for the Abelian field strength and other gauge-invariant quantities are obtained in closed form. Possible extensions of the solution to the case of the electroweak phase transition and the generation of primordial magnetic fields are briefly discussed.

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