Abstract
We compute the chiral condensate of 2 + 1 QCD from the mode number of the staggered Dirac operator, performing controlled extrapolations to both the continuum and the chiral limit. We consider also alternative strategies, based on the quark mass dependence of the topological susceptibility and of the pion mass, and obtain consistent results within errors. Results are also consistent with phenomenological expectations and with previous numerical determinations obtained with different lattice discretizations.
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Acknowledgments
We thank L. Giusti for useful discussions. The work of C. Bonanno is supported by the Spanish Research Agency (Agencia Estatal de Investigación) through the grant IFT Centro de Excelencia Severe Ochoa CEX2020- 001007-S and, partially, by grant PID2021-127526NB-I00, both funded by MCIN/AEI/ 10.13039/ 501100011033. C. Bonanno also acknowledges support from the project H2020-MSCAITN-2018-813942 (EuroPLEx) and the EU Horizon 2020 research and innovation programme, STRONG-2020 project, under grant agreement No 824093. Numerical simulations have been performed on the MARCONI and MARCONI100 machines at CINECA, based on the Project IscrB ChQCDSSP and on the agreement between INFN and CINECA (under projects INF22_npqcd, INF23_npqcd).
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Bonanno, C., D’Angelo, F. & D’Elia, M. The chiral condensate of Nf = 2 + 1 QCD from the spectrum of the staggered Dirac operator. J. High Energ. Phys. 2023, 13 (2023). https://doi.org/10.1007/JHEP11(2023)013
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DOI: https://doi.org/10.1007/JHEP11(2023)013