Abstract

The minimal subtraction scheme and the Borel resummation method are combined to describe the asymptotic and nonasymptotic critical behavior of the n-vector model in three dimensions. Symanzik's non-vanishing mass shift is incorporated in the minimally renormalized theory at fixed dimension d<4. An accurate representation of the renormalization-group functions (exponent functions and β-function) is computed for n = 0…3 and a convenient analytic representation is given. The results can be used in combination with low-order calculations of amplitude functions.

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