Higher Order Corrections to the Hagedorn Temperature at Strong Coupling
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909450623778816 |
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| author | Bigazzi, Francesco Canneti, Tommaso Cotrone, Aldo L. |
| author_facet | Bigazzi, Francesco Canneti, Tommaso Cotrone, Aldo L. |
| contents | We propose a general formula for higher order corrections to the value of the Hagedorn temperature of a class of holographic confining gauge theories in the strong coupling expansion. Inspired by recent proposals in the literature, the formula combines the sigma-model string expansion with an effective approach. In particular, it includes the sigma-model contributions to the Hagedorn temperature at next-to-next-to leading order, which are computed in full generality. For ${\cal N}=4$ SYM on $S^3$ our result agrees with numerical field theory estimates with excellent precision. We use the general formula to predict the value of the Hagedorn temperature for ABJM on $S^2$ and for the dual of purely RR global $AdS_3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_17126 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Higher Order Corrections to the Hagedorn Temperature at Strong Coupling Bigazzi, Francesco Canneti, Tommaso Cotrone, Aldo L. High Energy Physics - Theory We propose a general formula for higher order corrections to the value of the Hagedorn temperature of a class of holographic confining gauge theories in the strong coupling expansion. Inspired by recent proposals in the literature, the formula combines the sigma-model string expansion with an effective approach. In particular, it includes the sigma-model contributions to the Hagedorn temperature at next-to-next-to leading order, which are computed in full generality. For ${\cal N}=4$ SYM on $S^3$ our result agrees with numerical field theory estimates with excellent precision. We use the general formula to predict the value of the Hagedorn temperature for ABJM on $S^2$ and for the dual of purely RR global $AdS_3$. |
| title | Higher Order Corrections to the Hagedorn Temperature at Strong Coupling |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2306.17126 |