Abstract
We present non-linear SU(2/1)xε exact gauge theory which represents a constrained Weinberg-Salam model with no new particles in the multiplets. We find a universal angle (including for quarks) ϑw=30o, λ=\(\frac{4}{3}\) g2. The linear multiplets of SU(2/1) connect physical fields to the ghosts of renormalization theory. The mass of the Higgs meson is 245 GeV. The absence of the right neutrino implies in this model that the charge of the electron be 1 and that the neutrino be neutral.
Superunitary Gauge Theory of the (weak-Electromagnetic) Superinteraction
Research supported in part by the U.S.-Israel Binational Science Foundation.
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
J. Schwinger, Ann. Phys. 2, 407 (1957); J. C. Ward and A. Salam, Nuovo Cim. 11, 568 (1959); Phys. Lett. 13, 168 (1964); Phys. Rev. 136, 763 (1964).
S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967).
A. Salam, in Elementary Particle Theory, Proc. VIII Nobel Symp., N. Svartholm, ed., Almquist & Wiksell Pub., Stockholm (1968), pp. 367–377.
C. Y. Prescott, et al., Phys. Lett. 77B, 347 (1978). A soft renormalization correction to ϑ is expected due to the symmetry breaking at 250 GeV.
Y. Ne'eman, Nuovo Cim. 27, 992 (1963).
A. A. Slavnov, Theor. Mat. Fiz. 10, 99 (1972) and 13, 174 (1972); J. C. Taylor, Nucl. Phys. B33, 436 (1971).
R. P. Feyman, Acta Phys. Polon. 24, 697 (1963); B. S. de Witt, Phys. Rev. 162, 1195 (1967); L. D. Faddeev and V. N. Popov, Phys. Lett. 25B, 29 (1967).
C. Becchi, A. Rouet and R. Stora, Comm. Math. Phys. 42, 127 (1975); I. V. Tyutin, report FIAN 39, (1975).
Y. Ne'eman, Phys. Lett. 81B, (1979), 190–194, (U. of Texas report ORO 3992-349, October, 1978). A model utilizing SU(2/1) has recently been independently suggested by Dr. D. Fairlie, Phys. Lett. 82B, 97 (1979).
V. Rittenberg, in Group Theoretical Methods in Physics, Proc. VI. Int. Conf. (Tubingen, 1977), P. Kramer and A. Rieckers, eds. Springer-Verlag Lect. Notes in Phys. 79, Berlin-Heidelberg-N.Y. 1978, pp. 3–21.
L. Corwin, Y. Ne'eman and S. Sternberg, Rev. Mod. Phys. 47, 573 (1975).
V. G. Kac, Func. Analys. and Applications, 9, 91 (1975); B. Zumino, in Proceedings of the Conf. on Gauge Theories and Modern Field Theory, Northeastern University, Boston, 1975, edited by R. Arnowitt and P. Nath (Cambridge, Mass, 1976), p. 255.
Y. Ne'eman and T. Regge, La Rivista del Nuovo Cim. Ser. 111, #5, pp.1–43 (1978).
M. Gell-Mann and Y. Ne'eman, The Eightfold Way, W. A. Benjamin, Pub., N.Y. (1964).
M. Scheunert, W. Nahm and V. Rittenberg, Jour. Math. Phys. 18, 155 (1977).
J. Thierry-Mieg, These de Doctorat d'Etat, Universite d'Orsay (1978); J. Thierry-Mieg, J. Math. Phys., to be published; J. Thierry-Mieg, Nuovo Cim. A., to be published; Y. Ne'eman, Proc. 19th Int. Conf. High Energy Physics (Tokyo 1978), S. Homma et al., eds., Phys. Soc. of Jap. pub., Tokyo 1979, p.552.
J. Thierry-Mieg and Y. Ne'eman, to be published in Ann. of Physics.
S. Coleman and E. Weinberg, Phys. Rev. D73, 1888 (1973).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1980 Springer-Verlag
About this paper
Cite this paper
Ne'eman, Y., Thierry-Mieg, J. (1980). Gauge asthenodynamics (SU(2/1)) (classical discussion). In: García, P.L., Pérez-Rendón, A., Souriau, J.M. (eds) Differential Geometrical Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089747
Download citation
DOI: https://doi.org/10.1007/BFb0089747
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10275-5
Online ISBN: 978-3-540-38405-2
eBook Packages: Springer Book Archive