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The Sphaleron in a Magnetic Field and Electroweak Baryogenesis

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arxiv hep-ph/9903227 v1 pith:NOID4P46 submitted 1999-03-02 hep-ph

classification hep-ph
keywords electroweakmagneticbaryogenesisfieldphasesphalerontransitioneffect
verification ladder T0 review T1 audit T2 compute T3 formal
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The presence of a primordial magnetic field in the early universe affects the dynamic of the electroweak phase transition enhancing its strength. This effect may enlarge the window for electroweak baryogenesis in the minimal supersymmetric extension of the standard model or even resurrect the electroweak baryogenesis scenario in the standard model. We compute the sphaleron energy in the background of the magnetic field and show that, due to the sphaleron dipole moment, the barrier between topologically inequivalent vacua is lowered. Therefore, the preservation of the baryon asymmetry calls for a much stronger phase transition than required in the absence of a magnetic field. We show that this effect overwhelms the gain in the phase transition strength, and conclude that magnetic fields do not help electroweak baryogenesis.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Electroweak Baryogenesis: Advances in Sphaleron Rate Calculations and Implications of Thermal Phase Transitions

    hep-ph 2026-07 conditional novelty 5.0 of 10

    Sphaleron rates can be computed gauge-invariantly in 3D thermal EFT, yielding a new baryon-washout criterion x = lambda3/g3^2 that replaces v_c/T_c > 1 for electroweak baryogenesis.

  2. Impact of Primordial Magnetic Fields on the First-Order Electroweak Phase Transition

    hep-ph 2025-08 conditional novelty 5.0 of 10

    A primordial hypermagnetic field slows the first-order electroweak transition, forms Higgs vortices above g'B/m_W^2 ~ 3.63, and helical fields boost sphaleron rates and baryon asymmetry.

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