Abstract
There are several reasons for taking into account the possibility that quarks and leptons are composite particles1. We recall the recent discoveries of new quarks and leptons and their apparent organization in families. Furthermore, quarks and leptons must be intimately connected, as shown for instance by the fact that |Q(electron)| = Q(proton). The emerging picutre is one in which quarks and leptons are indeed composite particles made up of the same elementary entities. Many models have been proposed so far2, but none of them can be considered completely satisfying. Another reason to consider quarks and leptons as composite particles has been pointed out by ‘t Hooft 3,4 As it is well known, in a broken gauge theory, the Higgs fields give rise to many arbitrary parameters (masses, Yukawa couplings, vacuum expectation values). Furthermore, they give origin to instabilities in the theory against small variations of the parameters (see for instance L. Susskind5). A way out of these difficulties (unless supersymmetries regulate the theory) is the dynamical syimnetry breaking; i.e., Higgs fields must be regarded as fermion-antifermion bound states. An example of theories of this type is given by technicolor theories (TC)5, which howeverare uncapable of giving masses to the fermions unless further broken gauge interactions (extended technicolor ETC)6 are postulated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
This talk is based on the papers: R. Casalbuoni and R. Gatto, University of Geneva preprint UGVA-DPT 1981/01–273; R. Casalbuoni and R. Gatto, to be published.
J. C. Pati and A. Salam, Phys. Rev. D10 (1974) 275
J. C. Pati, A. Salam and J. Strathdee, Phys. Letters 59B (1975) 265;
O.W. Greenberg and C. A. Nelson, Phys. Rev. D10 (1974) 2567
O.W. Greenberg, Phys. Rev. Letters 35 (1975) 1120
E. Nowak, J. Sucher and C. H. Woo, Phys. Rev. B16 (1977) 2874
H. Terazawa, Y. Chicashige and K. Akama, Phys. Rev. D15 (1977) 480;
H. Terazawa, Phys. Rev. D22 (1980) 184;
Y. Neeman, Phys. Letters 82B (1979) 69;
H. Harari, Phys. Letters 86B (1979) 83
M. A. Shupe, Phys. Letters 86B (1979) 87;
J. G. Taylor, Phys. Letters 88B (1979) 291;
C.A. Nelson, Phys. Letters 93B (1980) 143;
E. J. Squires, Phys. Letters 94B (1980) 54;
L. G. Mestres, Orsay preprint LPTHE 80–8 (1980)
I. Montvay, Phys. Letters 95B (1980) 227
E. Derman, Phys. Letters 95B (1980) 369
M. Veltman, Proceedings Lepton-Photon Symposium, FermiLab 1979, p. 529 (Eds. T. Kirk and A. Abarbanel)
S. L. Adler, Phys. Rev. D21 (1980) 2903
J. Ellis, M.K. Gaillard and B. Zumino, Phys. Letters 94B (1980) 343
R. Barbieri, L. Maiani and R. Petronzio, Phys. Letters 94D (1980) 63
F. Mansouri, Yale Preprint YTP80–25 (1980)
S. Dimopoulos, S. Raby and L. Susskind, Nucl. Phys. B173 (1980) 280
T. Banks, S. Yankielowicz and A. Schwimmer, Phys. Letters 96B (1980) 67
R. Casalbuoni, G. Domokos and S. KóVesi- Domokos, SLAC preprint 2580 (1980)
O.W. Greenberg and J. Sucher, Maryland report 81–026 (1980)
J.C. Pati, Trieste preprint (1980)
H. Harari and N. Seiberg, Phys. Letters 94B (1980) 269.
For possible signatures of subquarks, see: V. Visnjic-Trianta- fillou, Phys. Letters (1980) 47
J. Leite Lopes, J. A. Martin Simoes and D. Spehler, Phys. Letters 94B (1980) 367
A. De Rujula, Phys. Letters 96B (1980) 279
H. Schnitzer, Brandéis University preprint (1980).
For a recent review, see: R. Gatto, Proceedings of the Conference on “Grand Unified Theories of Fundamental Interactions”, Eds. S. Ferrara, J. Ellis and P.Van Niewenhuizen, Plenum Publishing Corporation, New York (1980).
G. ‘t Hooft, Cargese Institute Lectures (1979).
Y. Frishman, A. Schwimmer, T. Banks and S. Yankielowicz, Weizmann Institute preprint (1980);
G. Farrar, Phys. Letters 96B (1980) 273.
S. Weinberg, Phys. Rev. D13 (1976) 974
S. Weinberg Phys. Rev. D19 (1978) 1277;
L. Susskind, Phys. Rev. D20 (1979) 2619.
S. Dimopoulos and L. Susskind, Nucl. Phys. B155 (1979) 237.
S. Raby, S. Dimopoulos and L. Susskind, Stanford preprint ITP-653 (1980).
See however, a recent paper by T. Banks and A. Schwimmer, ICTP/80/81–6 in which.is shown that vector-like theories3 with subcolor group (SU(N)) can satisfy *t Hooft conditions.
Models of this type have been considered by R. Casalbuoni and R. Gatto, Phys. Letters 93B (1980) 47.
The restriction to an even number of flavors is due to the relation with the subcolors number.
Due to the relation between number of subcolors and number of flavors in our models, it does not make any sense to require the Appelquist-Carrazone condition. However, for the
case U(n)L 0 U(n)R the ‘t Hooft equations for three SU(n)L K L
currents and for two SU(n)L currents and one U(l) current are not compatible. In the case U(2n) we have only one ‘t Hooft equation which is satisfied by an index 1 = N. For a subcolor group 0(17) or 0(15) we get 1 = 17 or 1 = 15.
See for instance, S. Chanda and P. Roy, CERN preprint (1980).
S. Weinberg, Harvard preprint HUTP-80/A023 (1980).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer Science+Business Media New York
About this chapter
Cite this chapter
Casalbuoni, R. (1981). Baryonic Number Nonconservation in Subcomponent Models for Quarks and Leptons. In: Perlmutter, A. (eds) Gauge Theories, Massive Neutrinos and Proton Decay. Studies in the Natural Sciences, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1107-2_16
Download citation
DOI: https://doi.org/10.1007/978-1-4684-1107-2_16
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-1109-6
Online ISBN: 978-1-4684-1107-2
eBook Packages: Springer Book Archive