Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
A novel Bayesian approach to spectral function reconstruction
7 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We present a novel approach to the inference of spectral functions from Euclidean time correlator data that makes close contact with modern Bayesian concepts. Our method differs significantly from the maximum entropy method (MEM). A new set of axioms is postulated for the prior probability, leading to an improved expression, which is devoid of the asymptotically flat directions present in the Shanon-Jaynes entropy. Hyperparameters are integrated out explicitly, liberating us from the Gaussian approximations underlying the evidence approach of the MEM. We present a realistic test of our method in the context of the non-perturbative extraction of the heavy quark potential. Based on hard-thermal-loop correlator mock data, we establish firm requirements in the number of data points and their accuracy for a successful extraction of the potential from lattice QCD. An improved potential estimation from previously investigated quenched lattice QCD correlators is provided.
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Deep learning extracts a unified in-medium heavy quark potential from multi-energy bottomonium data, finding the real part close to vacuum Cornell form with weak screening while the imaginary part dominates suppression.
SVD truncation of the exp(-ωt) kernel reconstructs smeared spectral functions from lattice correlators with controlled uncertainties and approaches the Mellin transform in the continuum limit.
Alternative truncation-based procedure for smeared spectral density extraction from lattice correlators using SVD-style decomposition to decouple noise from signal.
Lattice QCD results show the shear viscosity to entropy density ratio of gluon plasma reaches a minimum near the transition temperature Tc while the bulk viscosity to entropy density ratio decreases monotonically from 0.76 to 2.25 Tc.
Tuning study of aHISQ action on anisotropic lattices from 1 to 8, with comparison of fermion anisotropy tuning and an empirical model for pion taste splittings showing qualitatively different behavior versus naive staggered quarks.
Analysis of non-perturbative lattice data shows that the inverse problem in LaMET introduces significant uncertainties in parton distributions, especially from harmonics around λ=5-15, and that exact asymptotic decay matters little in the currently applicable x range.
citing papers explorer
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Elastic and resonance structures of the nucleon from hadronic tensor in lattice QCD: implications for neutrino-nucleon scattering and hadron physics
Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
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Unified Extraction of In-Medium Heavy Quark Potentials from RHIC to LHC Energies via Deep Learning
Deep learning extracts a unified in-medium heavy quark potential from multi-energy bottomonium data, finding the real part close to vacuum Cornell form with weak screening while the imaginary part dominates suppression.
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Spectral reconstruction from Euclidean lattice correlators through singular value decomposition
SVD truncation of the exp(-ωt) kernel reconstructs smeared spectral functions from lattice correlators with controlled uncertainties and approaches the Mellin transform in the continuum limit.
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Extraction of spectral densities from lattice correlators: decoupling signal from noise
Alternative truncation-based procedure for smeared spectral density extraction from lattice correlators using SVD-style decomposition to decouple noise from signal.
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Shear and bulk viscosities of the gluon plasma across the transition temperature from lattice QCD
Lattice QCD results show the shear viscosity to entropy density ratio of gluon plasma reaches a minimum near the transition temperature Tc while the bulk viscosity to entropy density ratio decreases monotonically from 0.76 to 2.25 Tc.
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Highly improved staggered quarks on anisotropic lattices
Tuning study of aHISQ action on anisotropic lattices from 1 to 8, with comparison of fermion anisotropy tuning and an empirical model for pion taste splittings showing qualitatively different behavior versus naive staggered quarks.
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Inverse problem in the LaMET framework
Analysis of non-perturbative lattice data shows that the inverse problem in LaMET introduces significant uncertainties in parton distributions, especially from harmonics around λ=5-15, and that exact asymptotic decay matters little in the currently applicable x range.