Magnetic wormholes and topological symmetry

Gupta, A.; Hughes, James; Preskill, John; Wise, Mark B.

doi:10.1016/0550-3213(90)90228-6

Cited by 39 publications

(36 citation statements)

References 34 publications

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“…This gives good reason to thoroughly study the stability [26] of this solution under generic metric and gauge field perturbations. Should there be negative modes as predicted in [1,12,20,28], it would be interesting to see if the antipodal identification projects them out. Returning to the logarithmic divergence of the classical Euclidean action, we note that the solution we use is naturally UV regulated by the size of the hole of nothing (after antipodal identification).…”

Section: Discussionmentioning

confidence: 99%

“…This is easy to see since the Ricci scalar vanishes (R ¼ 0) and, from the Yang-Mills Lagrangian, one finds the usual log-divergence of the meron configuration ∼ logðL=aÞ where L is the system size (IR-cutoff) and a is a UV-cutoff [19]. This problem has been discussed in the past, for example in [11] and later in [20]. The UV problem is evaded by the finite size of the throat.…”

Section: The Meron Wormholementioning

confidence: 99%

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Antipodal correlation on the meron wormhole and a bang-crunch universe

2018

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We present a covariant Euclidean wormhole solution to Einstein Yang-Mills system and study scalar perturbations analytically. The fluctuation operator has a positive definite spectrum. We compute the Euclidean Green's function, which displays maximal antipodal correlation on the smallest three sphere at the center of the throat. Upon analytic continuation, it corresponds to the Feynman propagator on a compact bang-crunch universe. We present the connection matrix that relates past and future modes. We thoroughly discuss the physical implications of the antipodal map in both the Euclidean and Lorentzian geometries and give arguments on how to assign a physical probability to such solutions.

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Section: Discussionmentioning

confidence: 99%

Section: The Meron Wormholementioning

confidence: 99%

Antipodal correlation on the meron wormhole and a bang-crunch universe

2018

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“…[38] The conventional normalization of the SU(N) generators (and of the gauge coupling e) ⋆ is such that tr F 2 θφ in the nonabelian theory is equivalent to 1 2 F 2 θφ in the abelian theory. Hence, the mass M n of the extreme black hole with Z N charge n is given by…”

Section: Magnetically Charged Black Holes In Yang-mills Theorymentioning

confidence: 99%

Quantum hair on black holes

1992

Self Cite

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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 effects of these wormholes [5] will be similar to the effects of any finite-action monopole solutions that may exist in the theory. In a three-dimensional theory, a monopole solution can be thought of as an instanton that mediates processes that violate magnetic flux conservation.…”

Section: Introductionmentioning

confidence: 73%

S1×S2wormholes and topological charge

1994

Phys. Rev. D

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I investigate solutions to the Euclidean Einstein-matter field equations with topology S 1 × S 2 × R in a theory with a massless periodic scalar field and electromagnetism. These solutions carry winding number of the periodic scalar as well as magnetic flux. They induce violations of a quasi-topological conservation law which conserves the product of magnetic flux and winding number on the background spacetime. I extend these solutions to a model with stable loops of superconducting cosmic string, and interpret them as contributing to the decay of such loops.

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Magnetic wormholes and topological symmetry

Cited by 39 publications

References 34 publications

Antipodal correlation on the meron wormhole and a bang-crunch universe

Antipodal correlation on the meron wormhole and a bang-crunch universe

Quantum hair on black holes

S1×S2wormholes and topological charge

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