Explicit multimonopole solutions in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">SU</mml:mi><mml:mn /><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>gauge theory

Weinberg, Erick J.; Yi, Piljin

doi:10.1103/physrevd.58.046001

Cited by 22 publications

(68 citation statements)

References 30 publications

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“…[10], we see thatΦ is the same, up to a gauge transformation by U, as the previously obtained expression.…”

Section: B (2 [1]) Dancer Solutions For Su(3)supporting

confidence: 72%

“…First, however, we will apply the formalism that we have just developed to the k = 1 case, verifying that we recover the results of Ref. [10] for the (1, [1], 1) SU (4) case.…”

Section: B (2 [1]) Dancer Solutions For Su(3)mentioning

confidence: 99%

“…Together with the six position variables and the cloud parameter that is inherited from the SU (4) (4) embeddings, but the explicit Nahm construction of the fields rules this out [10].…”

Section: Parameters and Nahm Datamentioning

confidence: 99%

“…Two examples, both containing one massless and two massive monopoles, will play an important role in our considerations. One is the (1, [1],1) solution [10] for the case of SU(4) broken to U(1)×SU(2)×U (1), and the other is the (2,[1]) Dancer solution [11,12] for SU(3) broken to SU(2)×U(1). In both cases, the massless monopole is manifested as a cloud that encloses both of the massive monopoles.…”

Section: Introductionmentioning

confidence: 99%

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Multicloud solutions with massless and massive monopoles

Houghton

Weinberg

2002

Phys. Rev. D

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Certain spontaneously broken gauge theories contain massless magnetic monopoles. These are realized classically as clouds of non-Abelian fields surrounding one or more massive monopoles. In order to gain a better understanding of these clouds, we study BPS solutions with four massive and six massless monopoles in an SU(6) gauge theory. We develop an algebraic procedure, based on the Nahm construction, that relates these solutions to previously known examples. Explicit implementation of this procedure for a number of limiting cases reveals that the six massless monopoles condense into four distinct clouds, of two different types. By analyzing these limiting solutions, we clarify the correspondence between clouds and massless monopoles, and infer a set of rules that describe the conditions under which a finite size cloud can be formed. Finally, we identify the parameters entering the general solution and describe their physical significance. *

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“…[10], we see thatΦ is the same, up to a gauge transformation by U, as the previously obtained expression.…”

Section: B (2 [1]) Dancer Solutions For Su(3)supporting

confidence: 72%

“…First, however, we will apply the formalism that we have just developed to the k = 1 case, verifying that we recover the results of Ref. [10] for the (1, [1], 1) SU (4) case.…”

Section: B (2 [1]) Dancer Solutions For Su(3)mentioning

confidence: 99%

“…Together with the six position variables and the cloud parameter that is inherited from the SU (4) (4) embeddings, but the explicit Nahm construction of the fields rules this out [10].…”

Section: Parameters and Nahm Datamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multicloud solutions with massless and massive monopoles

Houghton

Weinberg

2002

Phys. Rev. D

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“…[7]. For either type of symmetry breaking, these solutions are described by 4(N + 1) collective coordinates.…”

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confidence: 99%

Scattering of massless and massive monopoles in anSU(N)theory

Chen

Weinberg

2001

Phys. Rev. D

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We use the moduli space approximation to study the time evolution of magnetically charged configurations in a theory with an SU(N + 2) gauge symmetry spontaneously broken to U(1)×SU(N )×U(1). We focus on configurations containing two massive and N − 1 massless monopoles. The latter do not appear as distinct objects, but instead coalesce into a cloud of non-Abelian field. We find that at large times the cloud and the massless particles are decoupled, with separately conserved energies. The interaction between them occurs through a scattering process in which the cloud, acting very much like a thin shell, contracts and eventually bounces off the cores of the massive monopoles. The strength of the interaction, as measured, e.g., by the amount of energy transfer, tends to be greatest if the shell is small at the time that it overlaps the massive cores. We also discuss the corresponding behavior for the case of the SU(3) multimonopole solutions studied by Dancer.

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