Spinning electroweak sphalerons

Radu, Eugen; Volkov, Mikhail S.

doi:10.1103/physrevd.79.065021

Cited by 20 publications

(44 citation statements)

References 23 publications

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“…However, the Lagrangian of the Weinberg-Salam model can be supplemented with higher derivative corrections, the simplest one consisting in Skyrme-like terms of the Higgs field plus F 4 terms of the gauge fields. Based on the results in this work, we conjecture that the qualitative results in [49], [50] remain always valid and the angular momentum of a spinning sphaleron always equals the electric charge. attempt gave a final negative result, the analysis was relegated to the Appendix, in support of our claim that topologically stable YMH monopoles cannot spin.…”

Section: Further Remarksmentioning

confidence: 59%

“…Finally, let us address the question of spinning solutions in the standard model. The results in [49], [50] show that the well-known Klinkhamer-Manton sphalerons possess spinning generalizations. Moreover, for a nonzero mixing angle θ W , the angular momentum of a spinning sphaleron equals the electric charge [49], [50] (note the analogy with the monopole-antimonopole pair).…”

Section: Further Remarksmentioning

confidence: 92%

“…The results in [49], [50] show that the well-known Klinkhamer-Manton sphalerons possess spinning generalizations. Moreover, for a nonzero mixing angle θ W , the angular momentum of a spinning sphaleron equals the electric charge [49], [50] (note the analogy with the monopole-antimonopole pair). However, the Lagrangian of the Weinberg-Salam model can be supplemented with higher derivative corrections, the simplest one consisting in Skyrme-like terms of the Higgs field plus F 4 terms of the gauge fields.…”

Section: Further Remarksmentioning

confidence: 92%

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Generalized dyons and magnetic dipoles: The issue of angular momentum

2014

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It is known that a non-Abelian magnetic monopole cannot rotate globally (although it may possess a nonzero angular momentum density). At the same time, the total angular momentum of a magnetic dipole equals the electric charge. In this work we question the generality of these results by considering a number of generalizations of the Georgi-Glashow model. We study two different types of finite energy, regular configurations: solutions with net magnetic charge and monopole-antimonopole pairs with zero net magnetic charge. These configurations are endowed with an electric charge and carry also a nonvanishing angular momentum density. However, we argue that the qualitative results found in the Georgi-Glashow model are generic and thus a magnetic monopole cannot spin as long as the matter fields feature the usual "monopole" asymptotic behavior independently of the dynamics of the model. A study of the properties of the dyons and magnetic dipoles in some generalizations of the Georgi-Glashow model supplemented with higher order Skyrme-like terms in the gauge curvature and Higgs fields is given quantitatively.

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Section: Further Remarksmentioning

confidence: 59%

Section: Further Remarksmentioning

confidence: 92%

Section: Further Remarksmentioning

confidence: 92%

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Generalized dyons and magnetic dipoles: The issue of angular momentum

2014

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“…Finally, the possible existence of vortons and ''springs'' in the electroweak sector of the Standard Model is perhaps the most exciting open problem (see Refs. [53,[55][56][57] for some work in this direction).…”

Section: Discussionmentioning

confidence: 99%

Gravitating vortons as ring solitons in general relativity

2013

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Vortons can be viewed as (flat space-) field theory analogs of black rings in general relativity. They are made from loops of vortices, being sustained against collapse by the centrifugal force. In this work we discuss such configurations in the global version of Witten's U(1)xU(1) theory. We first consider solutions in a flat spacetime background and show their non-uniqueness. The inclusion of gravity leads to new features. In particular, an ergoregion can occur. Also, similar to boson stars, we show that the vortons exist only in a limited frequency range. The coupling to gravity gives rise to a spiral-like frequency dependence of the mass and charge. New solutions of the model describing 'semitopological vortons' and 'di-vortons' are also discussed.Comment: 34 pages, 19 figure

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“…The sphaleron also possesses baryon number Q B = 1 2 and its' monopole-antimonopole pair is also surrounded by an electromagnetic current loop [12,14,15].…”

Section: Introductionmentioning

confidence: 99%

Half-monopole in the Weinberg–Salam model

Teh

Wong

2015

Annals of Physics

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a b s t r a c tWe present new axially symmetric half-monopole configuration of the SU(2) × U(1) Weinberg-Salam model of electromagnetic and weak interactions. The half-monopole configuration possesses net magnetic charge 2π /e which is half the magnetic charge of a Cho-Maison monopole. The electromagnetic gauge potential is singular along the negative z-axis. However the total energy is finite and increases only logarithmically with increasing Higgs field self-coupling constant λ 1/2 at sin 2 θ W = 0.2312. In the U(1) magnetic field, the half-monopole is just a one dimensional finite length line magnetic charge extending from the origin r = 0 and lying along the negative z-axis. In the SU(2) 't Hooft magnetic field, it is a point magnetic charge located at r = 0. The half-monopole possesses magnetic dipole moment that decreases exponentially fast with increasing Higgs field self-coupling constant λ 1/2 at sin 2 θ W = 0.2312.

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Spinning electroweak sphalerons

Cited by 20 publications

References 23 publications

Generalized dyons and magnetic dipoles: The issue of angular momentum

Generalized dyons and magnetic dipoles: The issue of angular momentum

Gravitating vortons as ring solitons in general relativity

Half-monopole in the Weinberg–Salam model

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