Abstract
2-color QCD, i. e. QCD with the gauge group SU(2), is the simplest non-Abelian gauge theory without sign problem at finite quark density. Therefore its study on the lattice is a benchmark for other non-perturbative approaches at finite density. To provide such benchmarks we determine the minimal-Landau-gauge 2-point and 3-gluon correlation functions of the gauge sector and the running gauge coupling at finite density. We observe no significant effects, except for some low-momentum screening of the gluons at and above the supposed high-density phase transition.
Highlights
Understanding the full phase diagram of QCD from first principles studies has been a challenge for decades
Lattice QCD suffers from the sign problem at finite density
It does not so far seem possible to reproduce at finite density the interplay of lattice and functional methods that has proven fruitful in the finite temperature case [1]
Summary
Understanding the full phase diagram of QCD from first principles studies has been a challenge for decades. One way to circumvent this problem is the study of QCD-like theories [2] at finite density on the lattice, which do not suffer from the sign problem These theories need to share as many properties with real QCD as possible to be really constraining. Around the supposed deconfinement phase transition and at very high density do we see the onset of a moderate screening of the gluons If this finding would be generic, this would considerably simplify studies of finite densities using functional methods, as the gauge sector could be left essentially as in the vacuum, as has been done, e.
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