We analytically calculate the perturbation expansion of two-point correlation function (propagator) scalar, dissipative quantum ${\ensuremath{\varphi}}^{4}$ theory up to third order in interaction parameter $\ensuremath{\lambda}$. The calculations are carried out with two different methods. first is based on a brute force computation all interactions appearing term by at given perturbation, sup...

The connection between the two-point and the three-point correlation functions in the non-linear gravitational clustering regime is studied. We derive a new relationship between these correlation functions under the scaling hypothesis. In particular, we find that the three-point correlation function, ζ , obeys the scaling law, ζ ∝ ξ 3m+4w 2m+2w , once the Fourier phases remain correlated due to...