Summary
In this paper we continue the geometrical investigation of certain symmetry-breaking mechanisms previously begun. We consider first a geometrical interpretation of gauge field interactions with spinors when the spinor bundle structure is taken into account, and recover in this way the ABJ anomaly. These ideas are then applied to a model of symmetry breaking within the light pseudoscalar-meson octet, and a formula for the Cabibbo angleθ is obtained which yields sinθ≈0.228 04.
Riassunto
In questo lavoro si continua lo studio geometrico di certi meccanismi di rottura di simmetria iniziati precedentemente. Si considera prima un’interpretazione geometrica dell’interazione dei campi di gauge con spinori quando si tiene conto della struttura del fascio spinoriale e si ripristina in questo modo l’anomalia di ABJ. Si applicano queste idee al modello di rottura di simmetria nell’ottetto del mesone pseudoscalare leggero, e si ottiene una formula per l’angolo di Cabibboθ che dà sinθ≈0.228 04.
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Selesnick, S.A. Geometrical symmetry breaking. Nuov Cim A 90, 171–184 (1985). https://doi.org/10.1007/BF02724230
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DOI: https://doi.org/10.1007/BF02724230