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Infrared physics of the 3D SU(2) adjoint Higgs model at the crossover transition

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arxiv 2206.14487 v1 pith:MVQ7B6IC submitted 2022-06-29 hep-lat hep-ph

Infrared physics of the 3D SU(2) adjoint Higgs model at the crossover transition

classification hep-lat hep-ph
keywords crossovermodelhiggsmonopoletransitionadjointdensitymonopoles
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the crossover phase transition of the SU(2) Georgi-Glashow model in three dimensions. In this model, a confining condensate of topological 't Hooft-Polyakov monopoles exists in the Higgs regime. We use lattice Monte Carlo simulations to study the monopole gas across a crossover transition, and demonstrate that gradient flow can be used to renormalize the otherwise divergent monopole number density. The condensation of the monopoles means that the theory admits also a massive photon-like excitation. We show that the renormalized monopole number density is approximately proportional to the square of the photon mass, in agreement with semiclassical results. Our results give insight into behaviour of the Higgs regime near crossover, which has boarder implications for beyond the Standard Model theories containing adjoint scalar fields.

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Cited by 4 Pith papers

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