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The Chern-Simons Number as a Dynamical Variable

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arxiv 1601.00418 v1 pith:5TBPDBHL submitted 2016-01-04 hep-th

S.-H. Henry Tye , Sam S.C. Wong This is my paper · ORCID
classification hep-th
keywords numberchern-simonsvariablediscussdynamicalhopfappropriateassociated
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In the standard electroweak theory that describes nature, the Chern-Simons number associated with the vacua as well as the unstable sphaleron solutions play a crucial role in the baryon number violating processes. We recall why the Chern-Simons number should be generalized from a set of discrete values to a dynamical (quantum) variable. Via the construction of an appropriate Hopf invariant and the winding number, we discuss how the geometric information in the gauge fields is also captured in the Higgs field. We then discuss the choice of the Hopf variable in relation to the Chern-Simons variable.

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Cited by 1 Pith paper

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  1. Impact of dimension-8 SMEFT operators on baryogenesis via sphaleron decoupling

    hep-ph 2026-08 conditional novelty 6.0 of 10

    Five of seven CP-violating dimension-8 SMEFT operators can individually reproduce the observed baryon asymmetry, with effective new-physics scales near 3-7 TeV.

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