IBP methods at finite temperature
M. Nishimura (Tohoku U.), Y. Schroder (Bielefeld U.)

TL;DR
This paper applies integration-by-parts identities to finite-temperature field theory, performing complex 3-loop calculations for QCD's thermodynamic pressure and confirming previous Feynman-gauge results.
Contribution
It introduces IBP methods into finite-temperature field theory and demonstrates their effectiveness through high-order QCD calculations.
Findings
Successful 3-loop computations of QCD pressure at finite temperature.
Validation of previous Feynman-gauge results using IBP methods.
Extension of IBP techniques to finite-temperature contexts.
Abstract
We demonstrate the applicability of integration-by-parts (IBP) identities in finite-temperature field theory. As a concrete example, we perform 3-loop computations for the thermodynamic pressure of QCD in general covariant gauges, and confirm earlier Feynman-gauge results.
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