# Confinement/deconfinement phase transition in SU(3) Yang-Mills theory and non-Abelian dual Meissner effect

## TL;DR

This paper investigates the confinement/deconfinement phase transition in SU(3) Yang-Mills theory using a novel lattice formulation, providing numerical evidence for the dual Meissner effect and the role of monopoles in quark confinement.

## Contribution

It introduces a new lattice formulation and numerical approach to analyze the dual superconductivity mechanism and monopole dynamics in the confinement phase transition.

## Key findings

- Polyakov loop and quark potential behaviors differ between phases.
- Chromomagnetic monopoles are crucial in the phase transition.
- Decomposition of Yang-Mills fields isolates confinement-relevant modes.

## Abstract

The dual superconductivity is a promising mechanism of quark confinement. In the preceding works, we have given a non-Abelian dual superconductivity picture for quark confinement, and demonstrated the numerical evidences on the lattice. In this talk, we focus on the the confinement and deconfinement phase transition at finite temperature in view of the dual superconductivity. By using our new formulation of lattice Yang-Mills theory and numerical simulations on the lattice, we extract the dominant mode for confinement by decomposing the Yang-Mills field, and we investigate the Polyakov loop average, static quark potential, chromoelectric flux, and induced monopole current for both Yang-Mills field and decomposed restricted field in both confinement and deconfinement phase at finite temperature. We further discuss the role of the chromomagnetic monopole in the confinement/deconfinement phase transition.