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Anisotropic yang-mills interactions for quarks and leptons

Аниэотропные вэаимодействия Янга-Миллса для кварков и лепгонов

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Il Nuovo Cimento A (1965-1970)

Summary

A new (seven-dimensional) geometrical structure is proposed for the physical event continuum that allows us to formulate gauge (anisotropic Yang-Mills) interactions for quarks and leptons. A Dyson analysis of the resulting quantum field theory shows a bifurcation between chiral and nonchiral interactions, the former giving rise to unconfined leptons and the standardSU 2,L ×U 1 description of electroweak interactions, the latter leading to confined quarks. For the electroweak theory we calculate (to lowest order in the original coupling constants) sin2 ϑ W=1/4. A brief discussion of the structure of the hadronic world emerging from theSU 3,colour interaction is presented.

Riassunto

Si propone una nuova struttura geometrica a sette dimensioni per il continuo degli eventi fisici, in modo da permettere la formulazione di un’interazione di gauge tra quark e leptoni (interazioni di Yang-Mills anisotrope). Un’analisi delle equazioni di Dyson della conseguente teoria di campo quantistica mostra una biforcazione fra teorie chirali e non chirali, le prime producono leptoni non confinati mentre le seconde danno luogo a quark confinati. Inoltre nel caso della teoria elettrodebole si ottiene (all’ordine piú basso) sin2 ϑ W=1/4. Si presenta infine una discussione del mondo adronico emergente dall’interazioneSU 3, colore.

Реэюме

Предлагается новая (семимерная) геометрическая структура для фиэического континуума событий, что поэволяет сформулировать калибровочные вэаимодействия (аниэотропные вэаимодействия Янга-Миллса) для кварков и лептонов. Аналиэ Дайсона полученной квантовой теории поля обнаруживает раэдвоение между киральными и некиральными вэаимодействиями. Киральные вэаимодействия при-водят к неограниченным лептонам и стандартномуSU 2,L ×U 1 описанию злектрослабых вэаимодействий. Некиральные вэаимодействия приводят к ограниченным кваркам. Для злектрослабой теории мы вычисляем (в ниэщем порядке по исходной константе свяэи) sin2 ϑW=1/4. Предлагается обсуждение структуры адронного мира, который воэникает иэSU 3, colour-вэаимодействия.

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References

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Authors and Affiliations

  1. Istituto di Fisica dell’Università, Bari

    G. Preparata

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Bari, Italy

    G. Preparata

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  1. G. Preparata
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Preparata, G. Anisotropic yang-mills interactions for quarks and leptons. Nuov Cim A 66, 205–220 (1981). https://doi.org/10.1007/BF02728028

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  • DOI: https://doi.org/10.1007/BF02728028

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