’t Hooft–Polyakov monopoles

E135691

magnetic monopole solution non-abelian monopole solution of classical field equations theoretical particle topological soliton

’t Hooft–Polyakov monopoles are theoretical, finite-energy magnetic monopole solutions arising in certain non-abelian gauge theories with spontaneous symmetry breaking.

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All labels observed (3)

Label	Occurrences
’t Hooft–Polyakov monopole	2
Bogomolny–Prasad–Sommerfield monopole	1
’t Hooft–Polyakov monopoles canonical	1

Statements (51)

Predicate	Object
instanceOf	magnetic monopole solution ⓘ non-abelian monopole ⓘ solution of classical field equations ⓘ theoretical particle ⓘ topological soliton ⓘ
ariseIn	Georgi–Glashow SU(5) grand unified theory ⓘ surface form: Georgi–Glashow model SU(2) gauge theory with adjoint Higgs field ⓘ Yang–Mills theory ⓘ surface form: Yang–Mills–Higgs theories gauge theories with spontaneous symmetry breaking ⓘ grand unified theories ⓘ non-abelian gauge theories ⓘ
asymptoticBehavior	reduce to Dirac monopole at large distances ⓘ
avoid	Dirac string singularity ⓘ
coreStructure	Higgs field vanishes at the center ⓘ gauge field regular at the origin ⓘ
cosmologicalImplication	overproduction problem in some GUT cosmologies ⓘ
energySource	gradient energy of Higgs field ⓘ non-abelian gauge field energy ⓘ
hasProperty	classical solution ⓘ finite energy ⓘ magnetically charged ⓘ non-abelian gauge field configuration ⓘ non-singular core ⓘ spherically symmetric in simplest case ⓘ topologically stable ⓘ
haveTopologicalCharge	nontrivial element of π₂(G/H) ⓘ
magneticCharge	proportional to 4π/g ⓘ
magneticChargeQuantization	Dirac quantization condition ⓘ
massScale	inversely proportional to gauge coupling ⓘ set by Higgs vacuum expectation value ⓘ
namedAfter	Alexander Polyakov ⓘ Gerard ’t Hooft ⓘ surface form: Gerard 't Hooft
playRoleIn	Montonen–Olive duality ⓘ electric–magnetic duality ⓘ
proposedBy	Alexander Polyakov ⓘ Gerard ’t Hooft ⓘ surface form: Gerard 't Hooft
relatedConcept	BPS state ⓘ ’t Hooft–Polyakov monopoles self-linksurface differs ⓘ surface form: Bogomolny–Prasad–Sommerfield monopole Dirac magnetic monopoles ⓘ surface form: Dirac monopole cosmic monopole ⓘ magnetic charge ⓘ topological defect ⓘ
require	spontaneous symmetry breaking G → H with nontrivial π₂(G/H) ⓘ
satisfy	Higgs field equations ⓘ Yang–Mills theory ⓘ surface form: classical Yang–Mills equations
stabilityReason	topological obstruction to decay ⓘ
studiedIn	classical field theory ⓘ quantum field theory ⓘ supersymmetric gauge theories ⓘ
topologicalChargeGroup	π₂(SU(2)/U(1)) ≅ ℤ ⓘ
yearProposed	1974 ⓘ

Referenced by (4)

Full triples — surface form annotated when it differs from this entity's canonical label.

Monopole and Exotics Detector at the LHC → searchesFor → ’t Hooft–Polyakov monopoles ⓘ

Gerard ’t Hooft → notableWork → ’t Hooft–Polyakov monopoles ⓘ

this entity surface form: ’t Hooft–Polyakov monopole

Dirac magnetic monopoles → relatedConcept → ’t Hooft–Polyakov monopoles ⓘ

this entity surface form: ’t Hooft–Polyakov monopole

’t Hooft–Polyakov monopoles → relatedConcept → ’t Hooft–Polyakov monopoles self-linksurface differs ⓘ

subject surface form: 't Hooft–Polyakov monopoles

this entity surface form: Bogomolny–Prasad–Sommerfield monopole