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Properties of symmetry restoration in the electroweak vacuum in very high magnetic fields

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arxiv 1206.6205 v2 pith:JTF7S3JQ submitted 2012-06-27 hep-ph hep-th

classification hep-phhep-th
keywords magneticfieldvacuumelectroweakpropertiesbackgroundcriticalfields
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We discuss properties of the electroweak vacuum as a function of an external magnetic field. The interest in these properties arises due to possible existence of the electromagnetically superconducting phase of QCD in the background of a sufficiently strong magnetic field. In the electroweak theory, a superconducting vacuum exists for a well defined range of magnetic background fields, and the interest of the current paper is the behaviour near the upper critical magnetic field. We determine this critical field and calculate the vacuum condensates to leading order.

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  1. 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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