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Reconstructing QCD Spectral Functions with Gaussian Processes

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arxiv 2107.13464 v2 pith:SNCCN75S submitted 2021-07-28 hep-ph hep-lathep-th

classification hep-phhep-lathep-th
keywords ghostspectralfunctionfunctionalfunctionsgaussiangluonlattice
verification ladder T0 review T1 audit T2 compute T3 formal
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We reconstruct ghost and gluon spectral functions in 2+1 flavor QCD with Gaussian process regression. This framework allows us to largely suppress spurious oscillations and other common reconstruction 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 physical point. For the infrared and ultraviolet extensions of the lattice propagators as well as the low-frequency asymptotics of the ghost spectral function, we utilize results from functional computations in Yang-Mills theory and QCD. This further reduces the systematic error significantly. Our numerical results are compared against a direct real-time functional computation of the ghost and an earlier reconstruction of the gluon in Yang-Mills theory. The systematic approach presented in this work offers a promising route towards unveiling real-time properties of QCD.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spectral densities from Euclidean-time lattice correlation functions

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    A Tikhonov-regularized inverse Laplace transform built on the Mellin basis extracts spectral densities from Euclidean correlators, with an exact discrete-lattice version and controlled smearing kernels.

  2. Real-time dynamics from convex geometry

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  3. The spectral reconstruction problem for thermal photon and dilepton rates

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  4. A beginner's guide to functional methods in particle physics

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