Topology of Higgs fields

Arafune, J.; Freund, P.; Goebel, C.

doi:10.1063/1.522518

Cited by 368 publications

(157 citation statements)

References 8 publications

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“…This would give a variance δn ∼ √ n. This naive expectation is wrong since the particles are strongly correlated. The total magnetic charge can in fact be expressed as an integral over the surface of the sphere [55] The process we have just described has brought another (in principle unrequested) consequence: a reduction of the total number of monopoles and anti-monopoles. Before the collapse we had a number 1/(M H d) 3 of monopoles and anti-monopoles.…”

Section: A Mechanism For the Formation Of Multi-monopolesmentioning

confidence: 99%

Multi-monopoles and magnetic bags

Bolognesi¹

2006

Nuclear Physics B

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By analogy with the multi-vortices, we show that also multi-monopoles become magnetic bags in the large n limit. This simplification allows us to compute the spectrum and the profile functions by requiring the minimization of the energy of the bag. We consider in detail the case of the magnetic bag in the limit of vanishing potential and we find that it saturates the Bogomol'nyi bound and there is an infinite set of different shapes of allowed bags. This is consistent with the existence of a moduli space of solutions for the BPS multi-monopoles. We discuss the string theory interpretation of our result and also the relation between the 't Hooft large n limit of certain supersymmetric gauge theories and the large n limit of multi-monopoles. We then consider multi-monopoles in the cosmological context and provide a mechanism that could lead to their production.

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Section: A Mechanism For the Formation Of Multi-monopolesmentioning

confidence: 99%

Multi-monopoles and magnetic bags

Bolognesi¹

2006

Nuclear Physics B

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“…The geometrical interpretation of this integer is clear: it is the number of times the isovector φ a covers the sphere S 2 vac while r a covers the sphere S 2 on the spatial asymptotic once. Thus [8]:…”

Section: Definition Of Magnetic Chargementioning

confidence: 97%

MULTIMONOPOLES AND CLOSED VORTICES IN SU(2) YANG-MILLS-HIGGS THEORY

Shnir¹

2004

Études on Theoretical Physics

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We review classical monopole solutions of the SU (2) Yang-Mills-Higgs theory. The first part is a pedagogical introduction into to the basic features of the celebrated 't Hooft -Polyakov monopole. In the second part we describe new classes of static axially symmetric solutions which generalise 't Hooft -Polyakov monopole. These configurations are either deformations of the topologically trivial sector or the sectors with different topological charges. In both situations we construct the solutions representing the chains of monopoles and antimonopoles in static equilibrium. The solutions of another type are closed vortices which are centred around the symmetry axis and form different bound systems. Configurations of the third type are monopoles bounded with vortices. We suggest classification of these solutions which is related with 2d Poincare index.

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“…However, in Refs. [3,4,14] only the quantization of magnetic charge was discussed with the topological property defined in those papers.…”

Section: Features Of the Solution Of Monopoles' Electrodynamical Systmentioning

confidence: 99%

SU(2) Gauge Theory and Electrodynamics with N Magnetic Monopoles

Duan¹,

Ge²

2018

Memorial Volume for Yi-Shi Duan

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Abstract:We in brief present a viewpoint that the gauge potential Bµ can be decomposed and possesses the inner structure. We point out that the Bµ can be decomposed into two parts: bµ and Γµ, where the bµ satisfies the adjoint transformation corresponding to a massive vector particle and Γµ satisfies the gauge transformation can be composed with other fundamental field. In SU (2) gauge theory, the fundamental field is Higgs field φ(x). With this decomposition the electrodynamics of N magnetic monopoles system is obtained. In terms of the topological conservation current of magnetic monopoles, one can find that the quantization condition of magnetic charge is an obvious result in our theory. Furthermore, we prove the worldline of zero of φ(x) corresponding to the trajectory of monopoles, i.e., the electrodynamics of monopoles is described by the property of zeroes of φ(x). At last, we obtain the sourceless solution of SU (2) gauge field for the N monopoles system, and the Wu-Yang potential is generalized to the N monopoles system. Note: Originally published in Scientia Sinica Mathematica in Chinese.

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Topology of Higgs fields

Cited by 368 publications

References 8 publications

Multi-monopoles and magnetic bags

Multi-monopoles and magnetic bags

MULTIMONOPOLES AND CLOSED VORTICES IN SU(2) YANG-MILLS-HIGGS THEORY

SU(2) Gauge Theory and Electrodynamics with N Magnetic Monopoles

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