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Finite-temperature effects on asymptotically freeλΦ 4 theory

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Il Nuovo Cimento A (1965-1970)

Summary

The transition between the spontaneously broken phase and the asymmetric one inλΦ 4 field theory in four dimensions at finite temperature is reconsidered by following the recent suggestion that the theory could be not trivial and asymptotically free.

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References

  1. S. Weinberg:Phys. Rev. Lett.,19, 1264 (1967);A. Salam:Proceedings of the VIII Nobel Symposium, edited byN. Svartholm (Almqvist and Wicksell, Stockholm, 1968), p. 367.

    Article  ADS  Google Scholar 

  2. C. H. Llewellyn Smith:Phys. Lett. B,46, 233 (1973);J. M. Cornwall, D. N. Levin andG. Tiktopoulos:Phys. Rev. Lett.,30, 1268 (1973).

    Article  ADS  Google Scholar 

  3. K. G. Wilson:Phys. Rev. D,6, 419 (1972).

    Article  ADS  Google Scholar 

  4. M. Ainzenmann:Phys. Rev. Lett.,47, 1 (19810.

    Article  MathSciNet  ADS  Google Scholar 

  5. J. Fröhlich:Nucl. Phys. B,200, 281 (1982).

    Article  ADS  Google Scholar 

  6. M. Lüscher andP. Weisz:Nucl. Phys. B,290, 25 (1987);295, 65 (1988).

    Article  ADS  Google Scholar 

  7. M. Dine et al.: Comments on the electroweak phase transition, SLAC preprint, February 1992.

  8. D. S. Goldwirth andT. Piran:Phys. Rep.,214, 223 (1992).

    Article  ADS  Google Scholar 

  9. P. Castorina andM. Consoli:Phys. Lett. B,235, 302 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  10. V. Branchina, P. Castorina, M. Consoli andZappalà:Phys. Rev. D,42, 3587 (1990).

    Article  ADS  Google Scholar 

  11. V. Branchina, P. Castorina, M. Consoli andZappalà:Phys. Lett. B,274, 404 (1992).

    Article  MathSciNet  ADS  Google Scholar 

  12. S. Coleman andE. Weinberg:Phys. Rev. D,7, 1888 (1973).

    Article  ADS  Google Scholar 

  13. P. Castorina, M. Consoli andD. Zappalà:Phys. Lett. B,201, 90 (1988).

    Article  ADS  Google Scholar 

  14. L. I. Schiff:Phys. Rev.,130, 458 (1963);G. Rosen:Phys. Rev.,173, 1632 (1968).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. J. M. Cornwall, R. Jackiw andE. Tomboulis:Phys. Rev. D,10, 2428 (1974);T. Barnes andG. I. Ghandour:Phys. Rev. D,22, 924 (1980);J. Kuti: unpublished, as discussed in the paper of Cornwall, Jackiw and Tomboulis.

    Article  ADS  Google Scholar 

  16. P. M. Stevenson:Z. Phys. C,24, 87 (1984);Phys. Rev. D,32, 1389 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  17. M. Consoli andA. Ciancitto:Nucl. Phys. B,254, 653 (1985).

    Article  ADS  Google Scholar 

  18. J. Goldstone, A. Salam andS. Weinberg:Phys. Rev.,127, 965 (1962);G. Jona-Lasinio:Nuovo Cimento,34, 1790 (1964).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. V. Branchina, M. Consoli andN. M. Stivala:Renormalization of λΦ 4 theory: asymptotic freedom and spontaneous symmetry breaking, University of Catania preprint, June 1992, to be published inZ. Phys. C.

  20. P. M. Stevenson andR. Tarrach:Phys. Lett. B,127, 436 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  21. M. Consoli:Spontaneous symmetry breaking and the Higgs mass, preprint INFN, Sezione di Catania, April 1992, submitted toPhys. Lett. B.

  22. R. Munoz-Tapia andR. Tarrach:Phys. Lett. B,256, 50 (1991).

    Article  ADS  Google Scholar 

  23. L. Dolan andR. Jackiw:Phys. Rev. D,9, 3320 (1974);S. Weinberg:Phys. Rev. D,9, 3357 (1974).

    Article  ADS  Google Scholar 

  24. D. A. Kirzhnits andA. D. Linde:Phys. Lett. B,42, 471 (1972).

    Article  ADS  Google Scholar 

  25. M. Consoli:Is there any upper limit on the Higgs mass?, INFN preprint, Sezione di Catania, April 1992.

  26. M. Consoli:Large Higgs mass, triviality and asymptotic freedom, contributed paper to theConference on Gauge Theories—Past and Future, in Honour of the 60th Birthday of M. J. G. Veltman, Ann Arbor, May 16–18, 1991, to appear.

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Stivala, N.M. Finite-temperature effects on asymptotically freeλΦ 4 theory. Nuov Cim A 106, 777–791 (1993). https://doi.org/10.1007/BF02771493

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  • DOI: https://doi.org/10.1007/BF02771493

PACS 11.10.Jj

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