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All About the Neutron from Lattice QCD

by Rajan Gupta

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Submission summary

Authors (as registered SciPost users): Rajan Gupta
Submission information
Preprint Link: https://arxiv.org/abs/2211.16686v2  (pdf)
Date accepted: 2023-07-04
Date submitted: 2023-01-20 04:57
Submitted by: Gupta, Rajan
Submitted to: SciPost Physics Proceedings
Proceedings issue: 51st International Symposium on Multiparticle Dynamics (ISMD2022)
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approaches: Theoretical, Computational

Abstract

I describe how simulations of lattice QCD using the path integral formulation provide the two basic quantum mechanical properties of QCD, its ground state in which correlation functions are calculated, and Fock state wavefunctions between which matrix elements of operators are calculated. Both constructs are stochastic, so unfortunately one gets no intuitive picture or even a qualitative understanding of what they look like, nevertheless they contain and display all the subtleties of the quantum field theory. Today, these simulations provide many quantities that are impacting phenomenology and experiments. I illustrate the methods and the steps in the analysis using, as examples, three observables: the isovector charges of the nucleon, the contribution of the quark's intrinsic spin to the nucleon spin, and the pion-nucleon sigma term.

Author comments upon resubmission

Changes made as requested by the referee and other typos fixed

Published as SciPost Phys. Proc. 15, 021 (2024)

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