Summary
In this paper we outline an approach to QCD confinement based upon topological considerations which leads, almost immediately, to a skinny topological bag model for baryons. This notion of confinement may be accommodated into the general model of flavour symmetry breaking introduced previously to study strong symmetry breaking effects among the light mesons. The formalism singles out theCP = + 1 neutral-kaonCP-eigenstate as the carrier of topological structure, and a model ofCP violation is suggested which is implemented in terms of quantum-mechanical tunnelling between topological vacuum sectors of the symmetry breaking field. This yields the estimate |ε| ≈ 2.38-10−3per it parametro di for the conventionally defined kaon CP-mixing parameter.
Riassunto
In questo lavoro si descrive un approccio al confinamento della QCD basato su considerazioni topologiohe che portano, quasi immediatamente, ad un modello a sacca topologica superficiale per i barioni. Questa nozione di confinamento si puÒ adattare nel modello generate della rottura di simmetria di sapore introdotto precedentemente per studiare gli effetti di rottura di simmetria forte tra i mesoni leggeri. II formalismo distingue l’autostato di CP del kaone neutro con CP = + 1 come dotato di struttura topologica, e si suggerisce un modello di violazione di CP che è implementato in termini di tunnelling quanto meccanico tra settori topologici nel vuoto del campo di rottura di simmetria. Questo fornisce la stima|ε| ≈ 2.38-l0−3 per il parametro di mescolamento di CP del kaone definite in modo convenzionale.
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References
S.W. Hawking andG.P.E. Ellis:The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge, 1973).
S. J. Avis andC. J. Isham:Quantum field theory and fibre bundles in a general space-time, inRecent Developments in Gravitation, Cargése 1978, edited by M. Lévy and S. Deser (Plenum Press, New York, N. Y., London, 1978).
S.A. Selesnick:Nuovo Oimento A,83, 175 (1984).
E. H. Spanier:Algebraic Topology (McGraw-Hill, New York, N. Y., 1966).
S.A. Selesnick:Nuovo Cimento A,90, 171 (1985).
H. K. Lee andV. Vento:Nuovo Cimento A,90, 135 (1985).
E. Witten:Nucl. Phys. B,223, 433 (1983);M. Chemtob:Nuovo Cimento A,89, 381 (1985).
S. Weinberg:Phys. Rev. Lett.,18, 188 (1967).
F. Hirzebruch:Topological Methods in Algebraic Geometry (Springer-Verlag, New York, N. Y., 1966);N. Steenrod:The Topology of Fibre Bundles (Princeton University Press, Princeton, N. J., 1951).
Ta-pei Cheng andLing-pong Li:Gauge Theory of Elementary Particle Physics (Oxford University Press, Oxford, 1984).
E. D. Commins andP. H. Bucksbaum:Weak Interactions of Leptons and Quarks (Cambridge University Press, Cambridge, 1983).
Ren-Yuan Zhu:Experimental test of QCDand fragmentation at PETEA, inProceedings of the Santa Fe Meeting: First Annual Meeting (New Series) of the Division of Particles and Fields of the American Physical Society, edited by T. Goldman and M. M. Nieto (World Scientific, Philadelphia, Penn., Singapore, 1984).
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Selesnick, S.A. Geometrical symmetry breaking.. Nuov Cim A 95, 329–342 (1986). https://doi.org/10.1007/BF02906449
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DOI: https://doi.org/10.1007/BF02906449