# correlation function

03 Feb 2016can you show that the integral \(\int\mathrm{d}^nx\:C(r)\) of the correlation function \(C(r)\) as a function of distance \(r\), \(r^2=\sum_{i=1}^n x_i^2\), of a random field in \(n\) dimensions vanishes?

can you show that the integral \(\int\mathrm{d}^nx\:C(r)\) of the correlation function \(C(r)\) as a function of distance \(r\), \(r^2=\sum_{i=1}^n x_i^2\), of a random field in \(n\) dimensions vanishes?