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

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 ( ϕ → 2 ) 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.

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