Full-zone antiferromagnetic Nambu counting
= Full-zone antiferromagnetic Nambu counting
For a rotated nearest-neighbour chain, a full-zone sum of $JS(a_k^\dagger,a_{-k})M_k(a_k,a_{-k}^\dagger)^T$ contains a normal-ordering constant $JSN$. Rewriting the classical constant as $-JNS(S+1)$ compensates it. One must not additionally halve the sum without changing mode counting.