${\cal N}=4$ supersymmetric Yang-Mills thermodynamics to order $λ^{5/2}$
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915921310777344 |
|---|---|
| author | Carrington, Margaret E. Kunstatter, Gabor Tantary, Ubaid |
| author_facet | Carrington, Margaret E. Kunstatter, Gabor Tantary, Ubaid |
| contents | We calculate the resummed perturbative free energy of ${\cal N} = 4$ supersymmetric Yang-Mills in four spacetime dimensions (SYM$_{44}$) to order $λ^{5/2}$ in the 't Hooft coupling at finite temperature and zero chemical potential. All infrared divergences cancel when we include contributions from SYM$_{44}$ ring diagrams and the final result is both ultraviolet and infrared finite. Our result has special significance since order $λ^{5/2}$ is the highest order calculation that can be done with perturbation theory, because there are nonperturbative effects associated with the magnetic mass scale that come into play at order $λ^3$. We compare results obtained with regularization by dimensional reduction (RDR), which preserves supersymmetry, and canonical dimensional regularization (DR). We also compare with a generalized Padé approximant constructed by matching the weak coupling result at order $λ^2$ and the large $N_c$ strong coupling result at order $λ^{-3/2}$. Finally we make a comparison between our result and the QCD free energy and show that SYM$_{44}$ has better convergence properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05919 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | ${\cal N}=4$ supersymmetric Yang-Mills thermodynamics to order $λ^{5/2}$ Carrington, Margaret E. Kunstatter, Gabor Tantary, Ubaid High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory We calculate the resummed perturbative free energy of ${\cal N} = 4$ supersymmetric Yang-Mills in four spacetime dimensions (SYM$_{44}$) to order $λ^{5/2}$ in the 't Hooft coupling at finite temperature and zero chemical potential. All infrared divergences cancel when we include contributions from SYM$_{44}$ ring diagrams and the final result is both ultraviolet and infrared finite. Our result has special significance since order $λ^{5/2}$ is the highest order calculation that can be done with perturbation theory, because there are nonperturbative effects associated with the magnetic mass scale that come into play at order $λ^3$. We compare results obtained with regularization by dimensional reduction (RDR), which preserves supersymmetry, and canonical dimensional regularization (DR). We also compare with a generalized Padé approximant constructed by matching the weak coupling result at order $λ^2$ and the large $N_c$ strong coupling result at order $λ^{-3/2}$. Finally we make a comparison between our result and the QCD free energy and show that SYM$_{44}$ has better convergence properties. |
| title | ${\cal N}=4$ supersymmetric Yang-Mills thermodynamics to order $λ^{5/2}$ |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2604.05919 |