IBP methods at finite temperature

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.

16 pages, 4 Axodraw figures

References in corpus (10)

• Algorithm FIRE -- Feynman Integral REduction
• Feynman Diagrams and Differential Equations
• Sector Decomposition
• Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop
• Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter
• Four-Loop QCD Corrections to the Rho Parameter
• The leading non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure
• Three-loop matching coefficients for hot QCD: Reduction and gauge independence
• Open problems in hot QCD
• Weak-coupling expansion of the hot QCD pressure

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• A QCD Debye mass in a broad temperature range
• Debye screening mass of hot Yang-Mills theory to three-loop order
• Massive vector current correlator in thermal QCD
• Two-loop thermal spectral functions with general kinematics
• Order g^2 susceptibilities in the symmetric phase of the Standard Model
• A new method for taming tensor sum-integrals
• Augmenting the residue theorem with boundary terms in finite-density calculations
• Integrating by parts at finite density
• Factorizing two-loop vacuum sum-integrals
• Charm mass effects in bulk channel correlations
• The High-Temperature Expansion of the Thermal Sunset
• Hard thermal contributions to phase transition observables at NNLO