Abstract
We present nonperturbative correlation functions in Landau-gauge Yang-Mills theory at finite temperature. The results are obtained from the functional renormalisation group within a self-consistent approximation scheme. In particular, we compute the magnetic and electric components of the gluon propagator, and the three- and four-gluon vertices. We also show the ghost propagator and the ghost-gluon vertex at finite temperature. Our results for the propagators are confronted with lattice simulations and our Debye mass is compared to hard thermal loop perturbation theory.
Highlights
Understanding the phase structure of quantum chromodynamics still poses a major challenge
Our results for the propagators are confronted with lattice simulations and our Debye mass is compared to hard thermal loop perturbation theory
II A, we use a vertex expansion about vanishing field expectation values Aμ 1⁄4 0 and c 1⁄4 c 1⁄4 0. This necessitates a thorough discussion of the implications of this choice, in particular for comparisons to lattice results. We argue that such an expansion about vanishing background fields, i.e., Landau gauge, leads to correlation functions that agree with the lattice correlators for temperatures outside a small region around the phase transition
Summary
Understanding the phase structure of quantum chromodynamics still poses a major challenge. While lattice simulations struggle with the sign problem, functional methods have to address the resonant interaction structure, which requires advanced truncations of the corresponding generating functionals. The tremendous progress in functional approaches to QCD has recently led to a shift from qualitative bottom-up towards quantitative top-down approaches [1,2,3,4,5,6]; see [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] for reviews. The functional renormalisation group (FRG) is a first-principles method that allows for quantitative computations of the generating functional of QCD. The functional QCD (fQCD) collaboration [23] has established a comprehensive framework encompassing both, top-down [1,2,3] and bottom-up [24,25,26,27,28,29,30] approaches within the FRG framework
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