The dynamic renormalisation group in the large-n limit

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Abstract
An exact formulation of the Wilson-type renormalisation group transformation for the path probability of the time-dependent Ginzburg-Landau model is given when the number of components n of the order parameter goes to infinity. The parameter space containing an infinite number of coupling constants can be specified as Taylor coefficients of a function of phi 2 and phi phi , where phi and phi are the order parameter and its conjugate Martin-Siggia-Rose field respectively. For the fixed point expression of this function an integral equation is derived whose solution is presented for the first few coefficients.