Towards the Early Stages of the Universe

  • A. Peterman
Part of the Mathematical Physics and Applied Mathematics book series (MPAM, volume 6)


The physical significance of coupling parameters in quantum field theories is questioned. As a result of the renormalization such couplings depend on parameters defining the renormalization procedure. On the other hand, the variation of these couplings when a renormalization parameter, like the scale of the renormalization mass for instance varies, makes physical sense when comparing physical strengths at different energies. This renormalization group machinery provides the possibility to go backwards in time in a Universe sprung from a big-bang for different theories of grand unification. It is this travel in the past which is explored in the present paper.


Coupling Parameter Higgs Coupling Renormalization Group Equation Grand Unify Theory Grand Unification 
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  1. [1]
    Stueckelberg, E. C. G., and Peterman, A., Helv. Phys. Acta 26, 499 (1953).MathSciNetMATHGoogle Scholar
  2. [2]
    Peterman, A.,—Physics Reports 53, 157 (1979).Google Scholar
  3. [3]
    (a) Bogoliubov, N. N., and Shirkov, D., Introduction to the Theory of Quantized Fields, Interscience, New York, 1959.Google Scholar
  4. [3](b)
    (b) Crewther, R. J., ‘Weak and Electromagnetic Interactions at High Energies’, Proceedings Cargèse Summer School 1975, Plenum PressGoogle Scholar
  5. [3](c)
    (c) Politzer, H.D., Phys. Rep. 14C, 129 (1974)Google Scholar
  6. Gross, D. J., ‘Application of the Renormalization Group’. In. R. Balian and J. Zinn-Justin (eds.), Les Houches (1975) Methods in Field Theory, North Holland, 1976.Google Scholar
  7. [4]
    See, for example: Cheng, T., Eichten, E., and Li, L. Phys. Rev. D9, 2259 (1974).ADSGoogle Scholar
  8. [5]
    Gross, D. J., and Wilczek, F., Phys. Rev. Letters 30, 1343 (1973)ADSCrossRefGoogle Scholar
  9. Politzer, H. D., Phys. Rev. Letters 30, 1346 (1973).ADSCrossRefGoogle Scholar
  10. [6]
    Gross, D. J., and Wilczek, F., Phys. Rev. D8, 3633 (1973) and Ref. 3(c).ADSGoogle Scholar
  11. [7]
    Weinberg, S., Phys. Rev. Letters 19, 1264 (1967); Salam, A., in N. Svartholm (ed.), Proceedings 8th Nobel Symposium 1968 Almqvist and Wiksell, Stockholm, 1968.ADSCrossRefGoogle Scholar
  12. [8]
    Dydak, F., ‘Neutral Currents’, Talk at the EPS International Conference on High Energy Physics, Geneva, 1979.Google Scholar
  13. [9]
    Goldman, T., and Ross, D. A., Phys. Letters 84B, 208 (1979); Marciano, W., Phys. Rev. D20, 274 (1979).ADSCrossRefGoogle Scholar
  14. [10]
    Georgi, H., Quinn, H., and Weinberg, S., Phys. Rev. Letters 33, 451 (1979).ADSCrossRefGoogle Scholar
  15. [11]
    Georgi, H., and Glashow, S. L., Phys. Rev. Letters 32, 438 (1974)ADSCrossRefGoogle Scholar
  16. Fritzsch, H., and Minkowski, P., Ann. Phys. (New York) 93, 193 (1975). For a review, see the talk by J. Ellis at the EPS International Conference on High Energy Physics, Geneva (1979), CERN Preprint TH 2723 (1979); See also: Nanopoulos, D., Harvard Preprint HUTP-78/A062 (1978).ADSCrossRefGoogle Scholar
  17. [12]
    Georgi, H., and Nanopoulos, D., Harvard Preprint HUTP-79/A039 (1979).Google Scholar
  18. [13]
    Shafi, Q., and Wetterich, C., CERN Preprint TH. 2667 (1979).Google Scholar
  19. [14]
    Reines, F., and Crouch, M., Phys. Rev. Letters 32, 493 (1974).ADSCrossRefGoogle Scholar
  20. [15]
    Eriksson, K. E., Nuovo Cimento 19, 1010, 1044(1961); Weinberg, S., Phys. Rev. D8, 3497 (1973).Google Scholar
  21. [16]
    Buras, A. J., Ellis, J., Gaillard, M. K., and Nanopoulos, D., Nuclear Phys. B135, 66 (1978).ADSCrossRefGoogle Scholar
  22. [17]
    Ellis, J., Gaillard, M. K., Peterman, A., and Sachrajda, C., CERN Preprint TH. 2696 (1979).Google Scholar
  23. [18]
    Weinberg, S., Phys. Letters 82B, 387 (1979).MathSciNetADSCrossRefGoogle Scholar
  24. [19]
    Astaud, M., and Jouvet, B., Comptes Rendus 264, 1433 (1967); Nuovo Cimento 53A, 841 (1968) and 63A, 5 (1969).Google Scholar
  25. [20]
    Kinoshita, T., Nuovo Cimento 51B, 140 (1967). Lautrup, B., and de Rafael, E., Nuclear Phys. B70, 317 (1974).ADSGoogle Scholar
  26. [21]
    Gell-Mann, M., and Low, F., Phys. Rev . 95, 1300 (1954). See also Ref. 3(a).MathSciNetADSMATHCrossRefGoogle Scholar

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© D. Reidel Publishing Company 1981

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  • A. Peterman

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