Magnetic-monopole solution of non-Abelian gauge theory in curved spacetime

A black hole may carry quantum numbers that are not associated with massless gauge fields, contrary to the spirit of the "no-hair" theorems. We describe in detail two different types of black hole hair that decay exponentially at long range. The first type is associated with discrete gauge charge and the screening is due to the Higgs mechanism. The second type is associated with color magnetic charge, and the screening is due to color confinement. In both cases, we perform semi-classical calculations of the effect of the hair on local observables outside the horizon, and on black hole thermodynamics. These effects are generated by virtual cosmic strings, or virtual electric flux tubes, that sweep around the event horizon.The effects of discrete gauge charge are non-perturbative inh, but the effects of color magnetic charge becomeh-independent in a suitable limit. We present an alternative treatment of discrete gauge charge using dual variables, and examine the possibility of black hole hair associated with discrete global symmetry. We draw the distinction between primary hair, which endows a black hole with new quantum numbers, and secondary hair, which does not, and we point out some varieties of secondary hair that occur in the standard model of particle physics.2

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“…The Higgs field is covariantly constant everywhere outside the horizon. [35] The third type of solution was discovered only very recently.…”

Section: Magnetically Charged Black Holes In Yang-mills Theorymentioning

confidence: 99%

Quantum hair on black holes

1992

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“…The infinite part is still controlled by the weak energy scale M W , and could easily be made finite by embedding the SU(2) × U(1) to a larger group [8]. It could also be made finite with the introduction of the gravitational interaction [9]. Furthermore it could be treated as the "vacuum" energy when one quantizes the classical dyon.…”

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confidence: 99%

Monopole configuration in Weinberg-Salam model

1997

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We present a new type of spherically symmetric monopole and dyon solutions with the magnetic charge 4π/e in the standard Weinberg-Salam model. The monopole (and dyon) could be interpreted as a non-trivial hybrid between the abelian Dirac monopole and non-abelian 't Hooft-Polyakov monopole (with an electric charge). We discuss the possible physical implications of the electroweak dyon.Typeset using REVT E X 1

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“…The exact solution of the metric tensor associated with a pointlike non-Abelian magnetic monopole has a Reissner-Nordström form [12].…”

Section: Discussionmentioning

confidence: 99%

Vacuum polarization effects in the global monopole spacetime in the presence of the Wu Yang magnetic monopole

Mello¹

2002

Class. Quantum Grav.

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In this paper we consider the presence of the Wu-Yang magnetic monopole in the global monopole spacetime and their influence on the vacuum polarization effects around these two monopoles placed together. According to Wu-Yang [Nucl. Phys. B107, 365 (1976)] the solution of the Klein-Gordon equation in such an external field will not be an ordinary function but, instead, section. Because of the peculiar radial symmetry of the global monopole spacetime, it is possible to cover its space section by two overlapping regions, needed to define the singularity free vector potential, and to study the quantum effects due to a charged scalar field in this system. In order to develop this analysis we construct the explicit Euclidean scalar Green section associated with a charged massless field in a global monopole spacetime in the presence of the Abelian Wu-Yang magnetic monopole. Having this Green section it is possible to study the vacuum polarization * E-mail: emello@fisica.ufpb.br 1 effects. We explicitly calculate the renormalized vacuum expectation value Φ(x) * Φ(x) Ren. , associated with a charged scalar field operator and the respective energy-momentum tensor, T µν (x) Ren. , which are expressed in terms of the parameter which codify the presence of the global and magnetic monopoles.

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Magnetic-monopole solution of non-Abelian gauge theory in curved spacetime

Cited by 85 publications

References 10 publications

Quantum hair on black holes

Quantum hair on black holes

Monopole configuration in Weinberg-Salam model

Vacuum polarization effects in the global monopole spacetime in the presence of the Wu Yang magnetic monopole

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