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- W4313303717 abstract "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 with finite $N$. First, we examine the Polyakov-loop fluctuation around a $mathbb{Z}_N$-broken vacuum and calculate the spatial correlation of its phase variable. We show that the phase variable of the Polyakov loop becomes a Nambu-Goldstone mode in the large-$N$ limit. Second, we estimate the global vacuum-to-vacuum transition rate in a finite-volume domain of the quark-gluon plasma. Based on our estimation, we state that some threshold volume exists, a domain larger than which is stable, and vice versa. Identifying the threshold as the lower bound of a stable center domain volume, we find the typical volume scale of center domains." @default.
- W4313303717 created "2023-01-06" @default.
- W4313303717 creator A5068962321 @default.
- W4313303717 creator A5082647529 @default.
- W4313303717 date "2022-12-28" @default.
- W4313303717 modified "2023-10-16" @default.
- W4313303717 title "$mathbb{Z}_N$ structure of deconfinement vacuum in SU($N$) Yang-Mills theory: emergence of Nambu-Goldstone mode in large-$N$ limit" @default.
- W4313303717 doi "https://doi.org/10.48550/arxiv.2212.13874" @default.
- W4313303717 hasPublicationYear "2022" @default.
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