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PreprintCC BY 4.0arXiv

Debye screening mass in hot QCD at three loops: Canonical form of the integrand

Abstract

The Debye screening mass is a fundamental parameter characterizing the screening of chromo-electric fields in a hot quark-gluon plasma. It plays an important role in thermal field theory, entering the description of screening lengths, transport phenomena, heavy-particle interactions in the early Universe, and the dimensional reduction program that connects thermal QCD to effective three-dimensional theories. In this contribution, we revisit the reduction strategy that serves to organize the large number of terms that contribute to the screening mass at the three-loop level, applying recent advances based on canonical forms of thermal (sum-) integrands. We emphasize the role of integration variable shifts, and discuss how canonical representations of thermal integrands may simplify future high-order calculations in hot QCD.

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BibTeX
@misc{schroder2026debye,
  title = {{Debye screening mass in hot QCD at three loops: Canonical form of the integrand}},
  author = {York Schröder and Miguel Váez},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.29844},
  eprint = {2608.29844},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29844},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Debye screening mass in hot QCD at three loops: Canonical form of the integrand
AU  - York Schröder
AU  - Miguel Váez
PY  - 2026
DA  - 2026/08/30
PB  - arXiv
DO  - 10.48550/arxiv.2608.29844
UR  - https://arxiv.org/abs/2608.29844
AB  - The Debye screening mass is a fundamental parameter characterizing the screening of chromo-electric fields in a hot quark-gluon plasma. It plays an important role in thermal field theory, entering the description of screening lengths, transport phenomena, heavy-particle interactions in the early Universe, and the dimensional reduction program that connects thermal QCD to effective three-dimensional theories. In this contribution, we revisit the reduction strategy that serves to organize the large number of terms that contribute to the screening mass at the three-loop level, applying recent advances based on canonical forms of thermal (sum-) integrands. We emphasize the role of integration variable shifts, and discuss how canonical representations of thermal integrands may simplify future high-order calculations in hot QCD.
ER  -