Yang–Mills effective Lagrangian — Contribution of Leutwyler zero mode chromons

Abstract

Recently, we calculated the contribution of Leutwyler zero mode chromons to the Yang–Mills effective Lagrangian by integrating over collective coordinates of the nonlinearly interacting zero modes. Here, we analyze the behavior of the partition function prefactor and the integration measure Jacobian of the zero modes and show that these factors do not contribute to the effective Lagrangian and do not alter the earlier results.