SummaryThe postulate of a «local connection» in a [3] charge space leads to the introduction of three spin one fields. One of these can be identified with the electro-magnetic field and the other two can be shown to mediate all known weak interactions, thus unifying these interactions with electro-magnetism. The theory takes account of the fact that weak interactions violate parity and strangeness conservation while electromagnetic interactions do not do so.RiassuntoIl postulato di una «connessione locale» in un [3] spazio della carica conduce all’introduzione di tre campi di spin uno. Uno di questi può identificarsi col campo elettromagnetico e si può dimostrare che gli altri due sono il veicolo di tutte le interazioni deboli note, unificando così tali interazioni coll’elettromagnetismo. La teoria tien conto del fatto che, a differenza delle interazioni elettromagnetiche, le interazioni deboli violano la conservazione della parità e della stranezza.

Weak and Electromagnetic Interactions

Theory of strong interactions

The present book contains a series of lectures which have been given at the University of Munich during the summer term 1965, with the hope to draw the attention of the younger generation of physicists to the present development of the unified field theory of elementary particles.

Introduction to the Unified Field Theory of Elementary Particles

We consider the three kinds of departure from exact unitary symmetry: medium-strong interactions which leave only isospin and hypercharge as good symmetries, electromagnetism, and weak interactions. We postulate the existence of an octet of scalar mesons that give the possibility of symmetry-breaking tadpole diagrams. Our fundamental dynamical assumption---that symmetry-violating processes are dominated by symmetry-breaking tadpole diagrams---gives an immediate explanation of the success of two empirical laws: the Gell-Mann-Okubo mass formulas and the nonleptonic $\ensuremath{\Delta}I=\frac{1}{2}$ rules. Moreover, including tadpole diagrams and some other electromagnetic corrections, we calculate the six electromagnetic mass splittings of mesons and baryons in terms of a single unknown parameter correctly to within 0.5 MeV.

Departures from the Eightfold Way: Theory of Strong Interaction Symmetry Breakdown

Weak self-masses, Cabibbo angle, and broken SU2 × SU2

Formulation mathématique du modèle de gell-mann

On symmetries of weak interactions

The assumption is made that the weak interactions are invariant under a three-dimensional rotation subgroup «G » ofSU3, which of course is not the isospin subgroup. It is then shown that for non-leptonic and leptonic decays, the rule ¦ΔI¦ = 1/2 follows from the requirement ¦ΔS¦≠ 2 and vice-versa. In such a theory these selection rules are equivalent.

/pdf/the-unitary-simmetry-and-a-connection-between-the-ds-1-2-and-5ayzfl7t11.pdf

The unitary simmetry and a connection between the ¦δs¦≠1/2 and ¦δi¦ = 2 rules

/pdf/a-proposed-experimental-test-of-the-day-snow-and-sucher-u4l4u5r6s3.pdf

A proposed experimental test of the day, snow and sucher argument based on antiproton annihilation into kaons

In order to account for the selection rule λI= ± 1/2, which seems to govern the decays of hyperons and heavy mesons, the relevant interaction hamiltonian is taken as the component of a 1st kind spinor in isotopic space. Without any further hypothesis concerning the types of interaction and the number of independent hamiltonians this already provides some relations (see sect. 6) which could be tested by experiment and could also provide some information, especially on the spin and parity of the Σ. This is partly due to the fact that the scattering in the final state has some effect on the decay probabilities. A convenient mean for writing down explicitly such hamiltonians is also given. This leads to a discussion of the choice Fermi-typeversus Yukawa-type. No convincing argument can be given at the present stage for any of the two types. On the assumption of a Yukawa-type, chosen because of its greater simplicity, the consequences of some natural choices of the coupling constants are investigated.

/pdf/interactions-faibles-des-hyperons-et-des-mesons-lourds-2z8i013sri.pdf

Interactions faibles des hypérons et des mésons lourds

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