Effective field theory of multiparticle correlations

We present an effective field theory of multiparticle correlations based on analogy with Ginzburg-Landau theory of superconductivity. We assume that the field represents particle density fluctuations, and show that in the case of gaussian-type effective action there are no higher-order correlations, in agreement with the recent data. We predict that two-particle correlations have Yukawa form. We also present our results for the two-dimensional and one-dimensional two-particle correlations (i.e. cumulants) as projections of our theory to lower dimensions.