Time Dependence of Nucleon Correlation Functions in Chiral Perturbation Theory

Abstract

We consider corrections to nucleon correlation functions arising from times that are far from the asymptotic limit. For such times, the single nucleon state is contaminated by the pion-nucleon and pion-delta continuum. We use heavy baryon chiral perturbation theory to derive the spectral representation of the nucleon two-point function. Finite time corrections to the axial current correlation function are also derived. Pion-nucleon excited state contributions drive the axial correlator upward, while contributions from the interference of pion-delta and pion-nucleon states drive the axial correlator downward. Our results can be compared qualitatively to optimized nucleon correlators calculated in lattice QCD, because the chiral corrections characterize only low-energy excitations above the ground state. We show that improved nucleon operators can lead to an underestimation of the nucleon axial charge.

12 pages, 4 figures

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Cited by in corpus (18)

• FLAG Review 2019
• FLAG Review 2021
• FLAG Review 2024
• $N\pi$-state contamination in lattice calculations of the nucleon axial form factors
• Nucleon-pion-state contribution in lattice calculations of the nucleon charges $g_A,g_T$ and $g_S$
• Nucleon-pion-state contribution to nucleon two-point correlation functions
• $N\pi$-state contamination in lattice calculations of the nucleon pseudoscalar form factor
• Chiral Corrections to Nucleon Two- and Three-Point Correlation Functions
• Low energy scattering phase shifts for meson-baryon systems
• Chiral perturbation theory and nucleon-pion-state contaminations in lattice QCD
• $N\pi$-state contamination in lattice calculations of the nucleon electromagnetic form factors
• Nucleon-pion-state contribution in lattice calculations of moments of parton distribution functions
• Excited states in nucleon structure calculations
• Three-particle $N\pi \pi$ state contribution to the nucleon two-point function in lattice QCD
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Light-quark mass dependence of the nucleon axial charge and pion-nucleon scattering phenomenology
• Excited-state effects in nucleon structure on the lattice using hybrid interpolators
• Nucleon-pion-state contributions in the determination of the nucleon axial charge