Il Nuovo Cimento B (1971-1996)

, Volume 46, Issue 1, pp 1–15 | Cite as

Conformal relativity, a theory of mass. I: Survey of Theoretical Results

  • R. L. Ingraham


In a series of papers it will be explained how a kinematic theory of mass follows from adopting the conformal groupC as basic space-time symmetry group. As an aspect of the group, kinematic masses are bare masses; physical masses are to be calculated from these and interactions. The particle solutions are of two kinds: massless, or massive families consisting of theC plus an infinite set of discrete excited mass states. An unexpected consequence of conformal symmetry is the extrapolation of the space-time origin of (some at least) internal symmetries. In particular,C provide isospin labels and the free Lagrangians, pure conformal group constructs, possess isospinSU2 invariance as an accidental («dynamical») symmetry. New possibilities for gauge theories of interactions are also implied. The new way of handling mass allows gauge bosons of nonzero bare mass (as well as massless ones) without violating gauge invariance. Thus Higgs fields and vacuum broken symmetries are no longer necessary in gauge theory.

Конформная теория относительности. Теория массы I: Обэор теоретических результатов


В серии работ будет показано, как кинематическая теория масс следует из предпожения, что конформная группаC является основной группой симметрии пространства-времени. Кинематические массы представляют затравочные массы; физические массы вычисляются с помощью кинематических масс и взаимодействий. Частичные решения оказываются двух типов: с нулевой массой илн массивные семейства, состоящие изC-мультиплета плюс бесконечная система дискретных возбужденных состояний. Неожиданное следствие конформной симметрии представляет общяснение пространственно-временного происхождения внутренних симметрий. В частности,C-мультиплеты обеспечивают классификацию изоспина, а свободные Лагранжианы обладают изоспиновойSU2 инвариантностью как случайной («динамической») симметрией. Из рассмотрения вытекают новые возможности для калибровочных теорий взаимодействий. Предложенный подход допускает калибровочные бозоны с ненулевой затравочной массой, без нарушения калибровочной инвариантости. Таким образом, в калибровочной теории поля Хиггса и нарушенные симметрии вакуума не являются более необходимыми.


In una serie di lavori di spiega come dall'adottare il gruppo conformeC come gruppo di simmetria basilare per lo spazio-tempo derivi una teoria cinematica della massa. Come uno degli aspetti del gruppo, le masse cinematiche sono masse nude; le masse fisiche devono essere calcolate da queste e dalle interazioni. Le soluzioni per le particelle sono di due tipi: senza massa, o famiglie massive che consistono del multiplettoC più una serie infinita di stati eccitati discreti di massa. Una conseguenza inattesa della simmetria conforme è l'estrapolazione dell'origine spazio-temporale di (almeno alcune) simmetrie interne. In particolare, i multiplettiC forniscono segnature di isospin e le lagrangiane libere, semplici strutture di gruppo conformi, possiedono invarianza di isospinSU2 come simmetria («dinamica») casuale. Si intuiscono anche nuove possibilità di teorie di gauge. Il nuovo modo di trattare la massa permette bosoni di gauge con massa semplice diversa da zero (e anche quelli senza massa) senza violare l'invarianza di gauge. Così i campidi Higgs e le simmetrie rotte del vuoto non sono più necessari nella teoria di gauge.


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Copyright information

© Società Italiana di Fisica 1978

Authors and Affiliations

  • R. L. Ingraham
    • 1
  1. 1.Research CenterNew Mexico State UniversityLas Cruces

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