Dyon Condensation at θ=2π from Wilson-'t Hooft Loops in Yang-Mills Theory

@misc{watanabe2026dyon,
  title = {{Dyon Condensation at $θ=2π$ from Wilson-'t Hooft Loops in Yang-Mills Theory}},
  author = {Hiromasa Watanabe and Issaku Kanamori and Okuto Morikawa and Yuki Nagai and Yuya Tanizaki and Akio Tomiya},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31281},
  eprint = {2610.31281},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31281},
}

TY  - UNPB
TI  - Dyon Condensation at θ=2π from Wilson-'t Hooft Loops in Yang-Mills Theory
AU  - Hiromasa Watanabe
AU  - Issaku Kanamori
AU  - Okuto Morikawa
AU  - Yuki Nagai
AU  - Yuya Tanizaki
AU  - Akio Tomiya
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.31281
UR  - https://arxiv.org/abs/2610.31281
AB  - Although Yang--Mills theories at θ and θ+2π are physically equivalent, their periodicity is realized nontrivially in the presence of a background field for the $1$-form center symmetry. The confining vacua at θ=0 and 2π are therefore expected to have distinct symmetry-protected topological labels. We test this expectation in SU(2) lattice Yang--Mills theory by measuring 't~Hooft and dyonic Wilson--'t~Hooft loops at θ=2π. A $1$-form-covariant DBW2 flow makes the global reweighting factor numerically benign while retaining the physical non-integer topological charge in a defect ensemble. The dyonic loop exhibits a clear perimeter-law plateau on two lattice volumes. The direct 't~Hooft-loop signal is noise-limited but has the magnitude and distance dependence expected for an area law. Taken together with the Wilson--'t~Hooft classification, these results provide numerical evidence for the dyonic oblique-confinement pattern at θ=2π. This talk is based on our recent paper (arXiv:2606.13428).
ER  -