${\mathbb{Z}}_N$ structure of deconfinement vacuum in SU($N$) Yang-Mills theory: emergence of Nambu-Goldstone mode in large-$N$ limit

Yuto Nakajima, Hideo Suganuma

Using the Polyakov-loop effective action, we investigate the structure of spontaneously broken ${\mathbb{Z}}_N$ symmetry in the deconfinement vacuum in the SU($N$) Yang-Mills theory…