The imaginary-$θ$ dependence of the SU($N$) spectrum
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910720320339968 |
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| author | Bonanno, Claudio Bonati, Claudio Papace, Mario Vadacchino, Davide |
| author_facet | Bonanno, Claudio Bonati, Claudio Papace, Mario Vadacchino, Davide |
| contents | In this talk we will report on a study of the $θ$-dependence of the string tension and of the mass gap of four-dimensional SU($N$) Yang--Mills theories. The spectrum at $N=3$ and $N=6$ was obtained on the lattice at various imaginary values of the $θ$-parameter, using Parallel Tempering on Boundary Conditions to avoid topological freezing at fine lattice spacings. The coefficient of the $\mathcal{O}(θ^2)$ term in the Taylor expansion of the spectrum around $θ=0$ could be obtained in the continuum limit for $N=3$, and on two fairly fine lattices for $N=6$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_14022 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The imaginary-$θ$ dependence of the SU($N$) spectrum Bonanno, Claudio Bonati, Claudio Papace, Mario Vadacchino, Davide High Energy Physics - Lattice High Energy Physics - Theory In this talk we will report on a study of the $θ$-dependence of the string tension and of the mass gap of four-dimensional SU($N$) Yang--Mills theories. The spectrum at $N=3$ and $N=6$ was obtained on the lattice at various imaginary values of the $θ$-parameter, using Parallel Tempering on Boundary Conditions to avoid topological freezing at fine lattice spacings. The coefficient of the $\mathcal{O}(θ^2)$ term in the Taylor expansion of the spectrum around $θ=0$ could be obtained in the continuum limit for $N=3$, and on two fairly fine lattices for $N=6$. |
| title | The imaginary-$θ$ dependence of the SU($N$) spectrum |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.14022 |