Strong Interaction Models in 6-ɛ Dimensions

  • D. J. Wallace
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 39)


A unique theory of the strong interactions can arise as a critical phenomenon with respect to some fundamental length scale. We discuss models which give a concrete realisation of this idea through ɛ-expansions in 6-ɛ dimensions. Illustrative calculations and problems in this approach are reviewed.


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  1. 1.
    These ideas and some calculations in 4-ɛ dimensional space time are reviewed in K.G. Wilson and J. Kogut, Phys. Reports, 12C, (1974) 75. See also S. Weinberg in Proceedings of the International School of Sub-Nuclear Physics, Ettore Majorana, 1976, and S.S. Shei and T. Yan, Phys. Rev. D8, (1973) 2457.ADSCrossRefGoogle Scholar
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    For reviews of the renormalization group in critical phenomena see for example, S.K. Ma, Modern Theory of Critical Phenomena, (W.A. Benjamin, Inc., Reading, Mass., 1976 ); E. Brézin, J.C. Le Guillou and J. Zinn-Justin in Phase Transitions and Critical Phenomena, Vol. 6, eds. C. Domb and M.S. Green (Academic Press, 1976), and other articles in that volume; M.E. Fisher, Rev. Mod. Phys. 46, (1974) 597; K.G. Wilson, Rev. Mod. Phys. 47, (1975) 773.Google Scholar
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    A.J. McKane and D.J. Wallace, to be published.Google Scholar
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    Expansions in 6-ɛ dimensions are studied in many critical phenomena. See e. g., A.B. Harris, T.C. Lubensky, W.K. Holcomb and C. Dasgupta, Phys. Rev. Letters 35 (1975) 327, E 1937; R.G. Priest and T.C. Lubensky Phys. Rev. B13, (1976) 4159 and Erratum; D.J. Amit, J. Phys. A9 (1976) 1441; A.B. Harris, T.C. Lubensky and J.H. Chen, Phys. Rev. Letters 36 (1976) 415. Many of these problems involve n →0 limits which can evade the diseases discussed in section 4.ADSCrossRefGoogle Scholar
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    This number was also calculated, for different reasons, by S. Panfil, Contributed Paper, 1976 International Conference on High Energy Physics, Tbilisi.Google Scholar
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Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • D. J. Wallace
    • 1
  1. 1.Department of PhysicsThe University SouthamptonEngland

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