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    Wilson's Theory of Critical Phenomena and Callan-Symanzik Equations in 4−ε Dimensions

    E. Brezin, J. C. Le Guillou*, and J. Zinn-Justin

    • Service de Physique Théorique, Centre d'Etudes Nucléaires de Saclay, BP. No. 2-91 Gif-sur-Yvette, France

    • *Laboratoire de Physique Atomique et Moléculaire-Collège de France, Paris, France.
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    Phys. Rev. D 8, 434 – Published 15 July, 1973

    DOI: https://doi.org/10.1103/PhysRevD.8.434

    Abstract

    The relevance of the Gell-Mann—Low eigenvalue condition to the description of the critical behavior in statistical mechanics is discussed in detail, using the natural framework of the Callan-Symanzik equations, in 4−ε dimensions. Wilson's method relying on the existence of a bare coupling constant adjusted to yield scaling laws in perturbation theory is justified and Wilson's results for critical exponents are rederived using renormalized perturbation theory.

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    See Also

    Addendum to Wilson's theory of critical phenomena and Callan-Symanzik equations in 4−ε dimensions

    E. Brezin, J. C. Le Guillou, and J. Zinn-Justin
    Phys. Rev. D 9, 1121 (1974)

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    Phys. Rev. D 8, 434– Published 15 July, 1973
    • Received 15 January 1973

    © 1973 American Physical Society

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