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Manuel Weingart

Publications and source records attributed to Manuel Weingart.

2 recordsLinked to original sources

The QCD rotator with a light quark mass

The low-lying energy excitations of 2-flavour QCD in the chiral limit confined to a small spatial box ($δ$-regime) are that of an $O(4)$ rotator. In this work, we calculate the corrections due to the presence of a nonzero quark mass up to NNL order by means of dimensional regularised chiral perturbation theory. The final result for the energy gap of the system only involves the low-energy constants $F$, $Λ_1$, $Λ_2$ and $B$.

hep-lat

2+1 flavor QCD with the fixed point action in the $ε$-regime

We generated configurations with the approximate fixed-point Dirac operator $D_\mathrm{FP}$ on a $12^4$ lattice with $a \approx 0.13 $fm where the scale was set by $r_0$. The distributions of the low lying eigenvalues in different topological sectors were compared with those of the Random Matrix Theory which leads to a prediction of the chiral condensate.

hep-lat