Perturbative study of large N principal chiral model with twisted reduction

We compute the first four perturbative coefficients of internal energy for twisted reduced principal chiral model (TRPCM) using numerical stochastic perturbation theory (NSPT). This matrix has same large $N$ limit as ordinary (PCM) at infinite volume. Indeed, we verify that three match analytic result PCM with a precision to significant digits. The fourth coefficient also matches our own NSPT calculation corresponding $N$. finite-$N$ corrections all beyond leading order are smaller TRPCM than PCM. analyze variance determine feasibility extending calculations higher orders.