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Il Nuovo Cimento A (1965-1970)

, Volume 43, Issue 2, pp 193–211 | Cite as

Genesis of unified models from Majorana-Weyl fields

  • P. Budini
  • P. Furlan
Article

Summary

It is proposed that all forms of interaction arise from elementary ones between Weyl-Majorana fields. Weak interactions due to the high masses of the intermediate bosons are practically identical to the elementary ones. Strong and electromagnetic interactions arise at larger distances, where dynamics determines both masses and symmetry. In the frame of these ideas, Pati-Salam and Fritzsch-Minkowski type of unified models are constructed by starting from eight Weyl-Majorana fields. Fractional charges for quarks, integer charges for leptons and regularization of QED arise naturally from the model. Unobserved transitions (μ → e + γ, p → leptons) may be ascribed to properties of the elementary fields (handedness) rather than to very high W masses.

Генеэис единых моделей иэ полей Майораны-Вейля

Реэюме

Предполагается, что все формы вэаимодействия воэникают иэ злементарных вэаимодействий между полями Вейля-Майораны. Слабые вэаимодействия, благодаря больщим массам промежуточных боэонов, практически идентичны злементарным вэаимодействиям. Сильные и злектромагнитные вэаимодействия воэникают на больщих расстояниях, где динамика определяет и массы и симметрию. В рамках зтих идей конструируются единые модели типа Пати-Салама и Фритча-Минковского, исходя иэ восьми полей Вейля-Майораны. Иэ зтой модели естественным обраэом воэникают дробные эаряды для кварков, целые эаряды для лептонов и перенормировка квантовой злектродинамики. Ненаблюдаемые переходы (μ → e + γ, p → лептоны) могут быть приписаны свойствам злементарных полей, а не очень больщим W массам.

Riassunto

Si propone che tutte le forme di interazione sorgano da interazioni elementari fra campi di Majorana-Weyl. A causa delle grandi masse dei bosoni intermedi, le interazioni deboli sono praticamente identiche alle interazioni elementari. Le interazioni forti ed elettromagnetiche si producono a distanze maggiori, dove la dinamica determina sia le masse e la simmetria. Nell’ambito di queste idee, si costruiscono modelli unificati del tipo di Pati-Salam e Fritzsch-Minkowski, partendo da otto campi di Weyl-Majorana. Dal modello derivano naturalmente cariche frazionarie per i quark, cariche intere per i leptoni a regolarizzazione dell’elettrodinamica quantistica. Si possono attributire transizioni non osservate (μ → e + γ, p → leptoni) a proprietà dei campi elementari (handedness) piuttosto che a masse molto alte dei W.

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References

  1. (1).
    P. Budini andP. Furlan:Unified models and unitary symmetry, ICTP, Trieste, preprint IC/76/90 (to appear in theProceedings of the Adriatic Meeting on Particle Physics, Dubrovnik, Yugoslavia, 1976);P. Furlan:Weyl fields as a basis for unitary symmetry (to appear in theProceedings of the Triangular Seminar «Hadron Structure ’76», Smolenice, Bratislava, Czechoslovakia, 1976).Google Scholar
  2. (2).
    J. C. Pati andA. Salam:Phys. Rev. D,8, 1240 (1973);Phys. Rev. Lett.,31, 661 (1973);32, 1083 (1973);H. Fritzsch andP. Minkowski:Ann. of Phys.,93, 193 (1974);Nucl. Phys.,103 B, 61 (1976).CrossRefADSGoogle Scholar
  3. (*).
    Here we have adopted the Yang-Mills formalism, since it is the most appropriate to bring us promptly to the formulation of our model. However, as we shall discuss later, we do not think that the Yang-Mills formalism is the most coherent with our idea that all fundamental interactions are generated by elementary ones among Weyl fields (1). In fact, in the frame of this idea, gauge fields should also arise from Weylfield interactions and then gauge Lagrangians would result as effective Lagrangians instead of fundamental, as was shown in earlier papers (3).Google Scholar
  4. (3).
    P. Budini andP. Furlan: inProceedings of the International Symposium on Mathematical Physics (Warsaw, 1974), p. 361 (see this paper for more references).Google Scholar
  5. (*).
    The pseudoscalar part ofm may be eliminated through a phase transformation on the Dirac spinors (4).CrossRefADSGoogle Scholar
  6. (4).
    Y. Nambu andG. Jona-Lasinio:Phys. Rev.,122, 345 (1960);124, 246 (1961).CrossRefADSGoogle Scholar
  7. (5).
    F. Englert, J. M. Frere andP. Nicoletopoulos:Phys. Lett.,52 B, 433 (1974); University of Bruxelles, preprint (1975);F. Englert:Cargèse Lecture Notes (1975).CrossRefADSGoogle Scholar
  8. (6).
    V. de Alfaro, S. Fubini andG. Furlan:Phys. Lett.,65 B, 163 (1976);R. Jackiw andC. Rebbi:Phys. Rev. D,14, 517 (1976).CrossRefADSGoogle Scholar
  9. (7).
    T. Eguchi:Nonrenormalizable interactions and eigenvalue condition, SLAC-PUB-1943 (1977) (and references quoted therein).Google Scholar
  10. (8).
    E. Konopinski andH. Mahmoud:Phys. Rev. D,92, 1045 (1953).CrossRefADSGoogle Scholar
  11. (9).
    E. Cartan:The Theory of Spinors (Paris, 1966);M. Daniel andC. N. Ktorides:On the merits of conformal invariance as a fundamental space-time symmetry of nature, University of Athens preprint (1977).Google Scholar
  12. (10).
    H. P. W. Heisenberg:Introduction to the Unified Theory of Elementary Particles (New York, N. Y., 1966);Naturwiss.,61, 5 (1974).Google Scholar

Copyright information

© Società Italiana di Fisica 1978

Authors and Affiliations

  • P. Budini
    • 1
    • 2
  • P. Furlan
    • 2
    • 3
  1. 1.International Centre for Theoretical PhysicsTriesteItaly
  2. 2.Istituto di Fisica Teorica dell’UniversitàTriesteItalia
  3. 3.Istituto Nazionale di Fisica NucleareSezione di TriesteItalia

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