Two-loop HTL-resummed thermodynamics for $\mathcal{N}$ = 4 supersymmetric Yang-Mills theory

Du, Qianqian; Strickland, Michael; Tantary, Ubaid; Zhang, Ben-Wei

doi:10.1007/jhep09(2020)038

Two-loop HTL-resummed thermodynamics for $$\mathcal{N}$$ = 4 supersymmetric Yang-Mills theory

Journal Article · Fri Sep 04 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep09(2020)038· OSTI ID:1715516

Du, Qianqian ^[1]; ^[2]; Tantary, Ubaid ^[2]; Zhang, Ben-Wei ^[3]

Central China Normal Univ., Wuhan (China); Kent State Univ., Kent, OH (United States); OSTI
Kent State Univ., Kent, OH (United States)
Central China Normal Univ., Wuhan (China)

We compute the two-loop hard-thermal-loop (HTL) resummed thermodynamic potential for $ \mathcal{N} $ = 4 supersymmetric Yang-Mills (SYM). Our final result is manifestly gauge-invariant and was renormalized using only simple vacuum energy, gluon mass, scalar mass, and quark mass counter terms. The HTL mass parameters m_D, M_D, and m_q are then determined self-consistently using a variational prescription which results in a set of coupled gap equations. Based on this, we obtain the two-loop HTL-resummed thermodynamic functions of $ \mathcal{N} $ = 4 SYM. We compare our final result with known results obtained in the weak- and strong-coupling limits. We also compare to previously obtained approximately self-consistent HTL resummations and Padé approximants. We find that the two-loop HTL resummed results for the scaled entropy density is a quantitatively reliable approximation to the scaled entropy density for 0 ≤ λ ≲ 2 and is in agreement with previous approximately self-consistent HTL resummation results for λ ≲ 6.

View Accepted Manuscript (DOE)

Research Organization:: Kent State Univ., Kent, OH (United States)

Sponsoring Organization:: Chinese Scholarship Council; National Natural Science Foundation of China (NNSFC); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0013470

OSTI ID:: 1715516

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Two-loop HTL-resummed thermodynamics for $$\mathcal{N}$$ = 4 supersymmetric Yang-Mills theory

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