Four-loop logarithms in 3d gauge + Higgs theory
K. Kajantie, M. Laine, K. Rummukainen, Y. Schroder

TL;DR
This paper analyzes the four-loop logarithmic contributions to the vacuum energy in 3D SU(3) gauge + Higgs theory and discusses their implications for understanding the pressure in finite-temperature QCD.
Contribution
It provides a detailed calculation of four-loop logarithmic terms in 3D gauge + Higgs theory and connects these results with Monte Carlo simulations and QCD thermodynamics.
Findings
Derived explicit expressions for four-loop logarithmic contributions.
Linked theoretical results with Monte Carlo simulation data.
Discussed implications for perturbative and non-perturbative QCD pressure calculations.
Abstract
We discuss the logarithmic contributions to the vacuum energy density of the three-dimensional SU(3) + adjoint Higgs theory in its symmetric phase, and relate them to numerical Monte Carlo simulations. We also comment on the implications of these results for perturbative and non-perturbative determinations of the pressure of finite-temperature QCD.
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