SHORT-DISTANCE EXPANSIONS OF CORRELATION-FUNCTIONS IN THE SINE-GORDONTHEORY

We examine the two-point correlation functions of the fields exp(i alp ha Phi) in the sine-Gordon theory at all values of the coupling consta nt <(beta)over cap>. Using conformal perturbation theory, we write dow n explicit integral expressions for every order of the short-distance expansion. Using a novel technique analogous to dimensional regularisa tion, we evaluate these integrals for the first few orders finding exp ressions in terms of generalised hypergeometric functions. From these derived expressions, we examine the limiting forms at the points where the sine-Gordon theory maps onto a doubled Ising and the Gross-Neveu SU(2) models. In this way we recover the known expansions to first sub leading order of the spin and disorder fields about criticality in the Ising model and we correct an omission in past calculations of the Ko sterlitz-Thouless flows in the Gross-Neveu SU(2) model.