Two-loop HTL-resummed thermodynamics for pure 𝒩=2 supersymmetric Yang-Mills theory

@misc{du2026twoloop,
  title = {{Two-loop HTL-resummed thermodynamics for pure $\mathcal N=2$ supersymmetric Yang-Mills theory}},
  author = {Qianqian Du and Bingxiang Luo and Ubaid Tantary},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.21116},
  eprint = {2610.21116},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.21116},
}

TY  - UNPB
TI  - Two-loop HTL-resummed thermodynamics for pure 𝒩=2 supersymmetric Yang-Mills theory
AU  - Qianqian Du
AU  - Bingxiang Luo
AU  - Ubaid Tantary
PY  - 2026
DA  - 2026/10/17
PB  - arXiv
DO  - 10.48550/arxiv.2610.21116
UR  - https://arxiv.org/abs/2610.21116
AB  - We compute the two-loop hard-thermal-loop (HTL) resummed thermodynamic potential of pure four-dimensional 𝒩=2 supersymmetric Yang-Mills theory using regularization by dimensional reduction. Our result is gauge invariant and was renormalized using vacuum energy, gluon mass m_d and quark mass m_q counterterms. The thermal mass parameters are determined self-consistently and numerically from gap equations incorporating the running coupling. Based on these solutions, we numerically calculate the scaled pressure, entropy density, energy density, and trace anomaly and compare them with the results in the static perturbative limit through 𝒪(λ^2). For the first three quantities, next-to-leading-order (NLO) corrections are positive and have discernible effects at small coupling, and reduce the renormalization-scale dependence at relatively large couplings. We assess m_q-prescription dependence by comparing these results with those obtained by setting m_q=0. We find that it has a substantial impact on m_d and the scalar mass m_s at large couplings, and it reverses the signs of the NLO corrections to the first three quantities and qualitatively alters the trace anomaly.
ER  -