2000
DOI: 10.1103/physrevd.62.105027
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Particle creation via relaxing hypermagnetic knots

Abstract: We demonstrate that particle production for fermions coupled chirally to an Abelian gauge field like the hypercharge field is provided by the microscopic mechanism of level crossing. For this purpose we use recent results on zero modes of Dirac operators for a class of localized hypermagnetic knots. *

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Cited by 12 publications
(11 citation statements)
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“…It has been speculated that baryogenesis can be related to the presence of hypermagnetic knots and a similar way of thinking has been pursued in [69,70]. The themes discussed in [66,67] stimulated various investigations both on the dynamics of particles in hypermagnetic knot configurations [71,72,73] as well as on related ideas [74,75].…”
Section: Circular Polarization From Magnetic Knotsmentioning
confidence: 97%
“…It has been speculated that baryogenesis can be related to the presence of hypermagnetic knots and a similar way of thinking has been pursued in [69,70]. The themes discussed in [66,67] stimulated various investigations both on the dynamics of particles in hypermagnetic knot configurations [71,72,73] as well as on related ideas [74,75].…”
Section: Circular Polarization From Magnetic Knotsmentioning
confidence: 97%
“…Such a field configuration will source the anomaly equation for each Standard Model fermion field since they all carry hypercharge. Particle production due to the anomaly can also be understood as the emergence of filled states from the Dirac sea into the positive energy sector, just as in the case of the Abelian chiral anomaly in 3+1 dimensions [39].…”
Section: Namementioning
confidence: 99%
“…In Refs. ͓8, the first examples of Dirac operators with multiple zero modes were given, thereby demonstrating the existence of the phenomenon of zero mode degeneracy. Further, a relation between the number of zero modes and a certain topological linking number ͑the Hopf index͒ of the corresponding gauge field was established in Ref.…”
mentioning
confidence: 90%
“…where the l.h.s. of ( 4) is the change in particle number between t i and t f [13]. If we further assume that the change in particle number, Q(t f ) − Q(t i ), is two times the number of levels (zero modes) L crossed in the (adiabatic) change from A(t i , x) to A(t f , x) -as is usually assumed -then the equation…”
mentioning
confidence: 99%
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