\( \mathcal{N} \) = 4 supersymmetric Yang-Mills thermodynamics to order λ2
Abstract
We calculate the resummed perturbative free energy of \( \mathcal{N} \) = 4 supersymmetric Yang-Mills in four spacetime dimensions (SYM4,4) through second order in the ’t Hooft coupling λ at finite temperature and zero chemical potential. Our final result is ultraviolet finite and all infrared divergences generated at three-loop level are canceled by summing over SYM4,4 ring diagrams. Non-analytic terms at \( \mathcal{O} \)(λ3/2) and \( \mathcal{O} \)(λ2 log λ) are generated by dressing the A0 and scalar propagators. The gauge-field Debye mass mD and the scalar thermal mass MD are determined from their corresponding finite-temperature self-energies. Based on this, we obtain the three-loop thermodynamic functions of SYM4,4 to \( \mathcal{O} \)(λ2). We compare our final result with prior results obtained in the weak- and strong-coupling limits and construct a generalized Padé approximant that interpolates between the weak-coupling result and the large-Nc strong-coupling result. Our results suggest that the \( \mathcal{O} \)(λ2) weak-coupling result for the scaled entropy density is a quantitatively reliable approximation to the scaled entropy density for 0 ≤ λ ≲ 2.
- Authors:
-
- Central China Normal Univ., Wuhan (China); Kent State Univ., Kent, OH (United States)
- Kent State Univ., Kent, OH (United States)
- Publication Date:
- Research Org.:
- Kent State Univ., Kent, OH (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); Chinese Scholarship Council; National Natural Science Foundation of China (NSFC); Guangdong Major Project of Basic and Applied Basic Research
- OSTI Identifier:
- 1851803
- Grant/Contract Number:
- SC0013470; 201906770021; 11935007; 2020B0301030008
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 8; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; resummation; supersymmetric gauge theory
Citation Formats
Du, Qianqian, Strickland, Michael, and Tantary, Ubaid. \( \mathcal{N} \) = 4 supersymmetric Yang-Mills thermodynamics to order λ2. United States: N. p., 2021.
Web. doi:10.1007/jhep08(2021)064.
Du, Qianqian, Strickland, Michael, & Tantary, Ubaid. \( \mathcal{N} \) = 4 supersymmetric Yang-Mills thermodynamics to order λ2. United States. https://doi.org/10.1007/jhep08(2021)064
Du, Qianqian, Strickland, Michael, and Tantary, Ubaid. Mon .
"\( \mathcal{N} \) = 4 supersymmetric Yang-Mills thermodynamics to order λ2". United States. https://doi.org/10.1007/jhep08(2021)064. https://www.osti.gov/servlets/purl/1851803.
@article{osti_1851803,
title = {\( \mathcal{N} \) = 4 supersymmetric Yang-Mills thermodynamics to order λ2},
author = {Du, Qianqian and Strickland, Michael and Tantary, Ubaid},
abstractNote = {We calculate the resummed perturbative free energy of \( \mathcal{N} \) = 4 supersymmetric Yang-Mills in four spacetime dimensions (SYM4,4) through second order in the ’t Hooft coupling λ at finite temperature and zero chemical potential. Our final result is ultraviolet finite and all infrared divergences generated at three-loop level are canceled by summing over SYM4,4 ring diagrams. Non-analytic terms at \( \mathcal{O} \)(λ3/2) and \( \mathcal{O} \)(λ2 log λ) are generated by dressing the A0 and scalar propagators. The gauge-field Debye mass mD and the scalar thermal mass MD are determined from their corresponding finite-temperature self-energies. Based on this, we obtain the three-loop thermodynamic functions of SYM4,4 to \( \mathcal{O} \)(λ2). We compare our final result with prior results obtained in the weak- and strong-coupling limits and construct a generalized Padé approximant that interpolates between the weak-coupling result and the large-Nc strong-coupling result. Our results suggest that the \( \mathcal{O} \)(λ2) weak-coupling result for the scaled entropy density is a quantitatively reliable approximation to the scaled entropy density for 0 ≤ λ ≲ 2.},
doi = {10.1007/jhep08(2021)064},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2021,
place = {United States},
year = {Mon Aug 16 00:00:00 EDT 2021},
month = {Mon Aug 16 00:00:00 EDT 2021}
}
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