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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/2211.16686v1 (pdf) |
| Date submitted: | 2022-12-04 03:17 |
| Submitted by: | Gupta, Rajan |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 51st International Symposium on Multiparticle Dynamics (ISMD2022) |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| 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 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.
Current status:
Reports on this Submission
Report #1 by Anonymous (Referee 1) on 2022-12-18 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2211.16686v1, delivered 2022-12-18, doi: 10.21468/SciPost.Report.6333
Report
I recommend publication after the author takes into account my comments.
Requested changes
p.1: Define NME
p.1: move: "The chapter on NME in these reports provides an introduction to the many issues relevant to the calculation of nucleon matrix elements discussed below and contains an extensive list of references for the interested reader. Very often I will just refer to the FLAG reports with the assumption that a list of pertinent references are already collected there."
to a footnote
p.2 4 lines from top: Since the action is summed over all time slides, define the index i on A.
p2. Define LQCD
p.2, 4 lines before section2: The "independent" refers over the whole set of parameters? It would be good to clarify.
p.5, Eq. 5: The author should clarify that nay eigenstate of the QCD Hamiltonian with the quantum numbers of the pion contributes in the sum
p.6: RI-MOM is also widely used. The author should mention this when he says this regarding RI-sMOM.
p.8: dont--> don't
p.10: The author should cite other works on nucleon charges, sigma terms and spin. Referring to FLAG only
is not sufficient, e.g. in Fig. 6 ETMC, Mainz, and \chiQCD should be cited.
Anonymous on 2022-12-23 [id 3180]
I have gone through all the comments and made the changes requested. The updated pdf is attached. If these changes are accepted by the referee, I will upload the new version to arXiv and SciPost
Attachment:
ISMD2022_Gupta.pdf