Topological Strings in SU(3) Gauge Theory at Finite Temperature

Fuente: arXiv
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Autores principales: Digal, Sanatan, Mamale, Vinod, Shaw, Sumit
Formato: Preprint
Publicado: 2025
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author Digal, Sanatan
Mamale, Vinod
Shaw, Sumit
author_facet Digal, Sanatan
Mamale, Vinod
Shaw, Sumit
contents We investigate string configurations in the deconfined phase of SU(3) gauge theory, which arise from the spontaneous breaking of the $Z_3$ center symmetry. These configurations form at the junctions of domain walls of the theory. The complex phase of the Polyakov loop changes by multiples of $2π$ on large spatial loops around the string, rendering them topologically stable. Using the Monte Carlo simulations of the partition function, we compute the free energy associated with these configurations. The simulations are performed on lattices with spatial dimensions $N_{x,y}=60, N_z=4$, and temporal extent $N_τ=2$. Our results show that the free energy of the $Z_3-$strings is dominated by the domain walls. Further near the transition point, thermal fluctuations cause the decay of domain walls as well as the $Z_3$ strings into confined-deconfined interfaces.
format Preprint
id arxiv_https___arxiv_org_abs_2508_07919
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Topological Strings in SU(3) Gauge Theory at Finite Temperature
Digal, Sanatan
Mamale, Vinod
Shaw, Sumit
High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
We investigate string configurations in the deconfined phase of SU(3) gauge theory, which arise from the spontaneous breaking of the $Z_3$ center symmetry. These configurations form at the junctions of domain walls of the theory. The complex phase of the Polyakov loop changes by multiples of $2π$ on large spatial loops around the string, rendering them topologically stable. Using the Monte Carlo simulations of the partition function, we compute the free energy associated with these configurations. The simulations are performed on lattices with spatial dimensions $N_{x,y}=60, N_z=4$, and temporal extent $N_τ=2$. Our results show that the free energy of the $Z_3-$strings is dominated by the domain walls. Further near the transition point, thermal fluctuations cause the decay of domain walls as well as the $Z_3$ strings into confined-deconfined interfaces.
title Topological Strings in SU(3) Gauge Theory at Finite Temperature
topic High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
url https://arxiv.org/abs/2508.07919