SO(10) vortices and the electroweak phase transition

Stern, A.; Yajnik, Urjit A.

doi:10.1016/0550-3213(86)90149-5

Cited by 18 publications

(39 citation statements)

References 22 publications

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“…The discrete Z 2 symmetry allows the formation of topologically stable cosmic strings. In this case the string gauge field is a neutral GUT boson, and Φ S transforms under the 126 representation of SO (10). The electroweak Higgs field Φ transforms under the 10 representation.…”

Section: Currents After the Electroweak Phase Transitionmentioning

confidence: 99%

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Cosmic string current stability

2000

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The stability of fermionic charge carriers on cosmic strings is considered. We show that neutral fermion currents in cosmic strings are always chiral or timelike, in contrast with the case of bosonic currents. The spectrum of bound states on an Abelian SO͑10͒ string is determined both before and after the electroweak phase transition. We determine the mass acquired by the zero mode at this transition. A range of charge carrier scattering processes are considered and corresponding decay rates calculated. Couplings between the carriers and the electroweak sector generate scattering from the plasma which can thermalize some currents. If the zero mode is isolated from the electroweak sector, then it survives. Current-current scattering is considered, but found to be unimportant in realistic settings where the string density is low.PACS number͑s͒: 98.80.Cq

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Section: Currents After the Electroweak Phase Transitionmentioning

confidence: 99%

“…The components of Φ have charges ±1/5 with respect to the generator of the GUT string gauge field, so Φ will not be constant in the presence of a string. A non-zero Z field is also required to give a finite energy solution [10].…”

Section: Currents After the Electroweak Phase Transitionmentioning

confidence: 99%

Cosmic string current stability

2000

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“…To give a single valued Φ 10 , T s must be replaced with T s + R, where R does not alter the GUT string, but still affects Φ 10 . The only such generators are…”

Section: Y Stringsmentioning

confidence: 99%

“…If such zero modes exist, a superconducting current can flow along the string which may have long range effects [11]. It is possible that the electroweak Higgs field, because of its string-like form, could also allow the formation of such zero modes [8,10,11].…”

Section: Introductionmentioning

confidence: 99%

“…Consider the symmetry breaking (1) where Φ N transforms under the N representation of SO (10). The actual grand unified gauge group is Spin (10), the covering group of SO (10), but for simplicity the symmetry breaking is shown in terms of the Lie algebras. The discrete Z 2 symmetry formed by the Φ 126 Higgs field leads to the formation of a variety of cosmic strings.…”

Section: Introductionmentioning

confidence: 99%

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Microphysics of SO(10) cosmic strings

Davis¹,

Davis²

1997

Phys. Rev. D

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We uncover a rich microphysical structure for SO(10) cosmic strings. For the abelian string the electroweak symmetry is restored around it in a region depending on the electroweak scale. Four distinct nonabelian strings are found. Some of these also restore the electroweak symmetry. We investigate the zero mode structure of our strings. Whilst there are right handed neutrino zero modes for the abelian string, they do not survive the electroweak phase transition in the case of the lowest energy solution. We elucidate the zero mode structure for the nonabelian strings above and below the electroweak phase transition. We consider the generalisation of our results to other theories and consider the cosmological consequences of them.

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Stability Longevity and All That: False Vacua and Topological Defects

Yajnik

2017

Gravity and the Quantum

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I present two interesting studies related to the role of solitons in theories with spontaneous symmetry breaking. Quantised fermions coupled to solitons are known to induce fractional fermion number. I present an example where an unstable topological solution binding a zero mode of a majorana fermion gets stabilised due to the induced fractional number. Thus neither is the cosmic string stable nor is the fermion number conserved, yet the bound state then becomes stable due to Quantum Mechanics. The other phenomenon concerns a metastable vacuum getting destabilised due to the presence of a cosmic string. This happens because the scalar field signalling spontaneous symmetry breaking acquires a vacuum expectation value approaching its true vacuum value in the core of the string. Thus the string acts like a seed nucleating the true vacuum. The instanton mediating between the false vacuum and the exit point into the true vacuum is shown to exist and graphically displayed through a numeric calculation. T. Padmanabhan has been a long time friend and was collaborator for early investigations in this direction. I review these works done subsequently with other collaborators as a felicitation to him on his sixtieth birthday.

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SO(10) vortices and the electroweak phase transition

Cited by 18 publications

References 22 publications

Cosmic string current stability

Cosmic string current stability

Microphysics of SO(10) cosmic strings

Stability Longevity and All That: False Vacua and Topological Defects

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