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A self-affine analysis of multiparticle production in pp collisions at 400 GeV/c was performed by using the method of continuously varying scale and the method of the factorial moments of continuous order. The self-affine generalized fractal dimensions and multifractal spectrum have been obtained. The self-affine multifractal spectrum is concave downward with a maximum at q ＝ 0, f(α(0)) ＝ D(0) ＝ 1. D(q) decreases with increasing q showing that there is self-affine multifractal behaviour in multiparticle production at the 400GeV/c pp collisions. The Levy index μ ＞ 1 indicates that a non-thermal phase transition may exist in the pp collisions at 400 GeV/c.