A Time Variation of the QCD Scale

  • Harald Fritzsch
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 92)


Astrophysical indications that the fine structure constant has undergone a small time variation during the cosmological evolution are discussed within the framework of the standard model of the electroweak and strong interactions and of grand unification. A variation of the electromagnetic coupling constant could either be generated by a corresponding time variation of the unified coupling constant or by a time variation of the unification scale, of by both. The various possibilities, differing substantially in their implications for the variation of low energy physics parameters like the nuclear mass scale, are discussed. The case in which the variation is caused by a time variation of the unification scale is of special interest.


Time Change Grand Unify Theory Nucleon Mass Cosmological Evolution Fine Structure Constant 
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  1. 1.
    P. M. Dirac: Nature 192, 235 (1937)Google Scholar
  2. 2.
    E. A. Milne: Relativity, Gravitation and World Structure. In: Clarendon press, Oxford, (1935), Proc. Roy. Soc. A, 3, 242 (1937)Google Scholar
  3. 3.
    P. Jordan. Naturwiss., 25, 513 (1937), Z. Physik, 113, 660 (1939)ADSzbMATHCrossRefGoogle Scholar
  4. 4.
    L. D. Landau. W. Pauli, ed., Niels Bohr and the Development of Physics, McGraw-Hill, NY, p.52, (1955)Google Scholar
  5. 5.
    M. B. Green, J. H. Schwarz and E. Witten: The String dilaton and a least coupling principle. In: Superstring Theory, Vol. 1 and 2, T. Damour and A. M. Polyakov, Nucl. Phys. B 423, 532 (1994)Google Scholar
  6. 6.
    J. K. Webb et al.: Further Evidence for Cosmological Evolution of the Fine Structure Constant. In: Phys. Rev. Lett. 87 091301 (2001)ADSCrossRefGoogle Scholar
  7. 7.
    H. Fritzsch, X. Calmet: Do the fundamental constants vary in the course of the cosmological evolution? In: arXiv.hep-ph/0212186Google Scholar
  8. 8.
    H. Fritzsch, X. Calmet: The cosmological evolution of the nucleon mass and the electroweak coupling constants. In: Eur. Phys. J. C 24, 639 (2002)CrossRefGoogle Scholar
  9. 9.
    H. Fritzsch, X. Calmet: Symmetry breaking and time variation of gauge couplings. In: Phys. Lett. 9 541, 171 (2002)Google Scholar
  10. 10.
    H. Fritzsch, X. Calmet: Grand unification and time variation of the gauge couplings. In: Hamburg 2002, Supersymmetry and unification of fundamental interactions, Vol. 2* 1301–1306Google Scholar
  11. 11.
    T. Dent and M. Fairbairn: Time-varying coupling strengths, nuclear forces and unification. In: arXiv:hep-ph/0112279Google Scholar
  12. 12.
    P. Langacker, G. Segre and M. J. Strassler: Implications of gauge unification for time variation of the fine structure constant. In: Phys. Lett. B 528, 121 (2002)ADSCrossRefGoogle Scholar
  13. 13.
    T. Damour and F. Dyson: The Oklo bound on the time variation of the finestructure constant revisited. In: Nucl. Phys. B 480, 37 (1996)ADSCrossRefGoogle Scholar
  14. 14.
    V. V. Flambaum and E. V. Shuryak: Dependence of hadronic properties on quark masses and constraints on their cosmological variation. In: arXiv:hep-ph/0212403Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Harald Fritzsch
    • 1
  1. 1.Ludwig-Maximilians-University Münich, Sektion PhysikMünchenGermany

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