Schr"odinger functional at negative flavour number
Bernd Gehrmann, Juri Rolf, Stefan Kurth, Ulli Wolff
TL;DR
This paper investigates the Schrödinger functional coupling in a lattice gauge theory with negative flavor number, using numerical and perturbative methods to understand continuum limit effects and lattice artifacts, serving as a test case for real QCD.
Contribution
It introduces a new algorithm for studying SU(3) gauge fields with negative flavors and analyzes matter field effects on continuum limit and lattice artifacts.
Findings
The algorithm effectively simulates negative flavor number scenarios.
Matter fields influence the continuum limit and lattice artifacts.
Numerical and perturbative results are consistent in the studied regime.
Abstract
The scaling of the Schr"odinger functional coupling is studied numerically and perturbatively for an SU(3) lattice gauge field coupled to an O(a) improved bosonic spinor field. This corresponds to QCD with minus two light flavours and is used as a numerically less costly test case for real QCD. A suitable algorithm is developed, and the influence of the matter fields on the continuum limit and the lattice artefacts are studied in detail.
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