RT Journal Article T1 Reconstructing QCD spectral functions with Gaussian processes A1 Horak, Jan A1 Pawlowski, Jan M. A1 Rodríguez Quintero, José A1 Turnwald, Jonas A1 Urban, Julián M. A1 Wink, Nicolas A1 Zafeiropoulos, S. AB We reconstruct ghost and gluon spectral functions in 2 þ 1 flavor QCD with Gaussian processregression. This framework allows us to largely suppress spurious oscillations and other commonreconstruction artifacts by specifying generic magnitude and length scale parameters in the kernel function.The Euclidean propagator data are taken from lattice simulations with domain wall fermions at the physicalpoint. For the infrared and ultraviolet extensions of the lattice propagators as well as the low-frequencyasymptotics of the ghost spectral function, we utilize results from functional computations in Yang-Millstheory and QCD. This further reduces the systematic error significantly. Our numerical results arecompared against a direct real-time functional computation of the ghost and an earlier reconstruction of thegluon in Yang-Mills theory. The systematic approach presented in this work offers a promising routetoward unveiling real-time properties of QCD PB American Physical Society SN 2470-0010 SN 2470-0029 (electrónico) YR 2022 FD 2022-02 LK http://hdl.handle.net/10272/20965 UL http://hdl.handle.net/10272/20965 LA eng NO Horak, J., Pawlowski, J. M., Rodríguez-Quintero, J., Turnwald, J., Urban, J. M., Wink, N., & Zafeiropoulos, S. (2022). Reconstructing QCD spectral functions with Gaussian processes. In Physical Review D (Vol. 105, Issue 3). American Physical Society (APS). https://doi.org/10.1103/physrevd.105.036014 NO We thank A. Cyrol, F. Gao, L. Kades, J. Y. Lin, J.Papavassiliou, and A. Rothkopf for discussions.We thank P. Boucaud and F. De Soto for an earliercollaboration and for their help in the preparationof the lattice data. We are indebted to the RBC/UKQCD Collaboration, especially to P. Boyle, N.Christ, Z. Dong, N. Garron, C. Jung, B. Mawhinney,and O. Witzel, for access to the lattices used in thiswork. We also thank the members of the fQCDCollaboration for discussions and collaborations onrelated subjects. J. R. Q. acknowledges the supportof MICINN Grant No. PID2019-107844GB-C22.Numerical computations have used resources ofCINES, GENCI IDRIS (Project No. 52271) and of theIN2P3 computing facility in France. This workis supported by the Deutsche Forschungsgemeinschaft(DFG, German Research Foundation) underGermany’s Excellence Strategy Grant No. EXC 2181/1-390900948 (the Heidelberg STRUCTURES ExcellenceCluster), under the Collaborative Research CentreSFB 1225 (ISOQUANT), EMMI, and BMBF GrantNo. 05P18VHFCA DS Repositorio Institucional de la Universidad de Huelva RD 30 may 2026