Phase Transition in the Higgs Model of Scalar Dyons

In the present paper a model of preons and their composites is constructed in the framework of the superstring-inspired 'flipped' E 6 × E 6 gauge symmetry group which reveals a generalized dual symmetry. Here E 6 and E 6 are non-dual and dual sectors of the theory with hyper-electric g and hyper-magneticg charges, respectively. We follow the old idea by J. Pati presuming that preons are dyons, which in our model are confined by hyper-magnetic strings -composite N = 1 supersymmetric non-Abelian flux tubes created by the condensation of spreons near the Planck scale. Considering preons belonging to the 27-plet of E 6 , we have investigated the breakdown of E 6 (and E 6 ) near the Planck scale into the SU (6) × U (1) (and SU (6) × U (1)) gauge group and shown that the six types of strings having fluxes Φ n = nΦ 0 (n = ±1, ±2, ±3) produce three (and only three) generations of composite quark-leptons and bosons. The model predicts the existence of the Family replicated gauge group [E 6 ] 3 near the Planck scale. The runnings of the corresponding fine structure constants are investigated, and the critical coupling constants at the two phase transition points near the Planck scale are calculated. The model explains the hierarchies of masses in the Standard Model naturally. The compactification in a space-time with five dimensions and its influence on form-factors of composite objects are also briefly discussed. * crdas@imsc.res.in † laper@itep.ru, laper@imsc.res.in

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“…The calculation of the critical coupling constants in the Higgs scalar monopole (dyon) model of dual U(1) theory [65,69,70]…”

Section: Three Generations Of Quark-leptons and Bosonsmentioning

confidence: 99%

“…The calculation of the critical coupling constants in the Higgs scalar monopole (dyon) model of dual U(1) theory [65,69,70] gave the following results: According to Eqs. ( 48)-( 50), the condensation of spreons leads to the following critical constants:…”

Section: Three Generations Of Quark-leptons and Bosonsmentioning

confidence: 99%

Are preons dyons? Naturalness of three generations

Das

Лаперашвили

2006

Phys. Rev. D

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“…In Refs. [28,32,41] and in Appendix B it was shown that when we consider the both, chromo-electric and chromo-magnetic (non-dual and dual), charges we can write the following general expressions for β-functions of the renormalization group equations (RGEs):…”

Section: Renormalization Group Equations and Dualitymentioning

confidence: 99%

Generalized Dual Symmetry of Nonabelian Theories, Monopoles and Dyons

Das¹,

Лаперашвили²,

Nielsen³

2006

Particle Physics at the Year of 250th Anniversary of Moscow University

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In the present talk we present an investigation of nonabelian SU (N ) gauge theories, describing a system of fields with non-dual g and dualg charges and revealing the generalized dual symmetry. The Zwanziger type action is suggested. The renormalization group equations for pure nonabelian theories, in particular for pure SU (3) × SU (3) gauge theory (as an example) are analysed. We consider not only monopoles, but also dyons. The behaviour of the QCD total beta-function is investigated. It was shown that this beta-function is antisymmetric under the interchange α ↔ 1 α (here α ≡ α s ), and has zero ("fixed point") at α = 1. Monopoles, or dyons, are responsible for the phase transition. Considering critical points at α 1 ≈ 0.4 and α 2 ≈ 2.5, we give an explanation of the freezing of α s .

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“…Non-trivial topology (17) amounts to winding of elements of matrix (18), and we obtain string solutions:…”

mentioning

confidence: 99%

“…The calculation of the critical coupling constants in the Higgs scalar monopole (dyon) model of dual U(1) theory [16,17] gave the following result:…”

mentioning

confidence: 99%

Dyons Near the Planck Scale

Лаперашвили

Das

2007

Int. J. Mod. Phys. A

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Contents: 1. Introduction: Superstring theory and the 'flipped' E 6 -unification of gauge interactions. 2. Supersymmetric E 6 × E 6 preonic model of composite quark-leptons and bosons. 3. Preons are dyons confined by hyper-magnetic strings. 4. The breakdown of E 6 and E 6 groups near the Planck scale. 5. Condensation of spreons near the Planck scale. 6. N = 1 supersymmetric non-Abelian flux tubes confined preons. 7. Three generations of composite quark-leptons and bosons. 8. Family replicated gauge group [E 6 ] 3 near the Planck scale.

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Phase Transition in the Higgs Model of Scalar Dyons

Cited by 3 publications

References 31 publications

Are preons dyons? Naturalness of three generations

Are preons dyons? Naturalness of three generations

Generalized Dual Symmetry of Nonabelian Theories, Monopoles and Dyons

Dyons Near the Planck Scale

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