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The mass generation ofU(1) chiral-gauge theory in four dimensions

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Il Nuovo Cimento A (1965-1970)

Summary

A possible mechanism for the dynamical mass generation of the standard electroweak theory is suggested in the light of the fact that quantization procedures could not maintain the gauge symmetry of the electroweak theory, even though the anomalies of the system had been eliminated by adjusting the fermion content. The mass ratioM W/M Z=cosϑ w is guaranteed. We present the discussions concerning the gauge symmetry breakdown of aU(1) chiral gauge theory in four dimensions and related problems such as renormalizability and unitarity.

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References

  1. R. Jackiw: inRelativity, Groups and Topology II, edited byB. De Witt andR. Stora (North-Holland, Amsterdam, 1984).

    Google Scholar 

  2. D. Gross andR. Jackiw:Phys. Rev. D,6, 477 (1972).

    Article  ADS  Google Scholar 

  3. S. L. Adler andW. A. Bardeen:Phys. Rev.,182, 1517 (1969).

    Article  ADS  Google Scholar 

  4. C. Bouchiat, J. Iliopulos andPh. Meyer:Phys. Lett. B,38, 519 (1972).

    Article  ADS  Google Scholar 

  5. J. Wess andB. Zumino:Phys. Lett. B,37, 95 (1971);E. D’Hoker andE. Farhi:Nucl. Phys. B,248, 59, 77 (1984);N. Redlich:Phys. Rev. Lett.,52, 18 (1984);Phys. Rev. D,29, 2366 (1984);L. Alvarez-Gaumè andE. Witten:Nucl. Phys. B,234, 269 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  6. For a summary of this theoretical work, seeE. Farhi andR. Jackiw:Dynamical Gauge Symmetry Breaking (World Scientific, Singapore, 1982).

    Book  Google Scholar 

  7. S. Weinberg:Phys. Rev. Lett.,19, 1264 (1967);A. Salam: inElementary Particle Theory, edited byN. Svartholm (Almqvist and Wiksell, Stockholm, 1968).

    Article  ADS  Google Scholar 

  8. S. Glashow, A. Salam andS. Weinberg:Nobel Lectures in Physics (1979);Rev. Mod. Phys.,52, 515 (1980).

  9. R. Jackiw andR. Rajaraman:Phys. Rev. Lett.,54, 1219 (1985).

    Article  ADS  Google Scholar 

  10. See, for example,R. Rajaraman:Phys. Lett. B,184, 369 (1987).

    Article  ADS  Google Scholar 

  11. For the lattice regularization, see examples inT. D. Kieu, D. Sen andS.-S. Xue:Phys. Rev. Lett.,61, 282 (1988).

    Article  ADS  Google Scholar 

  12. For the dimensional regularization, seeS.-S. Xue:Phys. Lett. B,224, 309 (1989).

    Article  ADS  Google Scholar 

  13. For the Pauli-Villars regularization seeS.-S. Xue:Z. Phys. C,50, 145 (1991).

    Article  Google Scholar 

  14. S. Aoki, I-Hsiu Lee andS.-S. Xue:Phys. Lett. B,229, 79 (1989),S.-S. Xue:Phys. Lett. B,245, 565 (1990).

    Article  ADS  Google Scholar 

  15. G.’t Hooft andM. Veltman:Nucl. Phys. B,44, 189 (1972).

    Article  ADS  Google Scholar 

  16. P. Breitenlohner andD. Maison:Commun. Math. Phys.,52, 11 (1977).

    Article  MathSciNet  ADS  Google Scholar 

  17. S.-S. Xue: to be published inNuovo Cimento A.

  18. S. Weinberg:Phys. Rev. D,13, 974 (1976);19, 1277 (1979);L. Susskind:Phys. Rev. D,20, 2619 (1979).

    Article  ADS  Google Scholar 

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Xue, SS. The mass generation ofU(1) chiral-gauge theory in four dimensions. Nuov Cim A 105, 1749–1766 (1992). https://doi.org/10.1007/BF02740925

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  • DOI: https://doi.org/10.1007/BF02740925

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