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Phys. Rev. Lett. 39, 95–98 (1977)

Critical Exponents for the n-Vector Model in Three Dimensions from Field Theory

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J. C. Le Guillou
Laboratoire de Physique Théorique et Hautes Energies, Université Paris VI, 75230 Paris Cedex 05, France

J. Zinn-Justin
Service de Physique Théorique, Centre d'Etudes Nucléaires de Saclay, 91190 Gif-sur-Yvette, France

Received 14 April 1977; published in the issue dated 11 July 1977

We present a new calculation of the critical exponents of the n-vector model through field-theoretical methods. The coefficients of the renormalization functions of the (ϕ2)2 theory are expanded in powers of the coupling constant. Asymptotic estimates of large order of perturbation series are used to transform the divergent perturbation series into a convergent one. As a consequence, new and more precise values of critical exponents are obtained.

© 1977 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.39.95
DOI:
10.1103/PhysRevLett.39.95
PACS: