Extrapolating Lattice QCD Results using Effective Field Theory

Abstract

Lattice simulations are the only viable way to obtain ab-initio Quantum Chromodynamics (QCD) predictions for low energy nuclear physics. These calculations are done, however, in a finite box and therefore extrapolation is needed to get the free space results. Here we use nuclear Effective Field Theory (EFT), designed to provide a low energy description of QCD using baryonic degrees of freedom, to extrapolate the lattice results from finite to infinite volumes. To this end, we fit the EFT to the results calculated with nonphysical high quark masses and solve it with the stochastic variational method in both finite and infinite volumes. Moreover, we perform similar EFT calculations of the physical point and predict the finite-volume effects to be found in future Lattice QCD calculations for atomic nuclei with mass number $A\le 4$.

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• Spectrum of three-body bound states in a finite volume
• Lattice QCD study of the $H$ dibaryon using hexaquark and two-baryon interpolators
• Topological phases for bound states moving in a finite volume
• Volume Dependence of N-Body Bound States
• Two-Baryon Systems with Twisted Boundary Conditions
• Nuclear modification of scalar, axial and tensor charges from lattice QCD
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Cited by in corpus (14)

• 50 Years of Quantum Chromodynamics
• What is ab initio in nuclear theory?
• A variational study of two-nucleon systems with lattice QCD
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi }\sim 450$ MeV from Lattice Quantum Chromodynamics
• Fast emulation of quantum three-body scattering
• Few-nucleon matrix elements in pionless effective field theory in a finite volume
• Three relativistic neutrons in a finite volume
• The axial charge of the triton from lattice QCD
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Few nucleons scattering in pionless effective field theory
• Spectrum of light nuclei in a finite volume
• Worldline Monte Carlo method for few body nuclear physics
• Perturbative application of next-to-leading order pionless EFT for $A\le 3$ nuclei in a finite volume