“…For sampling, the various terms, we employ Metropolis' algorithm [50] to accept or reject the possible transitions. The number of Monte Carlo samples may have only the Monte Carlo error, which scales as 1 √ N with the samples [51]]. Let us define all the possible orders of configuration space C as, C ={ {..} , {τ 1 }, {τ 1 , τ 2 }, ..., {τ 1 , ..., τ n } } Which is the set of continuous imaginary time variables τ j .…”