The QCD static potential in 2+1 dimensions at weak coupling

TL;DR

This paper computes the static quark-antiquark potential in 2+1 dimensional QCD at weak coupling using effective field theory, achieving high precision and comparing results with lattice data.

Contribution

It provides a high-precision calculation of the static potential in 2+1 dimensions at NNLL order, including all logarithmic terms up to N^4LL, which is a novel theoretical advancement.

Findings

Results agree with existing lattice data within uncertainties.

Achieved potential calculation at NNLL order with all logarithmic terms up to N^4LL.

Enhanced understanding of weak-coupling behavior in lower-dimensional QCD.

Abstract

Using the effective theory pNRQCD we determine the potential energy of a color singlet quark-antiquark pair with (fixed) distance r in three space-time dimensions at weak coupling (alpha r << 1). The precision of our result reaches O(alpha^3 r^2), i.e. NNLO in the multipole expansion, and NNLL in a alpha/DeltaV expansion, where Delta V ~ alpha ln(alpha r). We even include all logarithmic terms up to N^4LL order and compare the outcome to existing lattice data.