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Jupyter Notebooks that follow how one fits effective masses from lattice correlators via the Jackknife and Gamma method

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massesOnTheLattice

Jupyter Notebooks with a proposed solution to the following exercise by Prof. Andrea Shindler during the 2023 Summer School on Methods of Effective Field Theory and Lattice Field Theory @ Physikzentrum Bad Honnef

Exercise 12: The nucleon-nucleon 2-point function

The nucleon-nucleon 2-point function data shared via email are divided in directories: each directory contains the 2-point function for a given gauge ensemble. The name of the directory contains information about the lattice size and the κ values for the Nf = 2 light sector (κud) and for the strange quark (κs). Additioanl information about the 16, 20 and 28 ensembles can be found in "https://www.jldg.org/ildg-data/CPPACS+JLQCDconfig.html". For the large volumes ensembles consult "http://www.jldg.org/ildg-data/PACSCSconfig.html".

• Calculate the euclidean time dependence of each correlator and plot them.

• Calculate the effective mass of each correlator as a function of Euclidean time and plot them.

• Perform a constant fit where the effective mass plateaus and plot the extracted mass as a function of the pion mass and pion mass squared (pion masses can be found on the links above).

• Plot the extracted mass from the previous analysis as a function of the lattice spacing squared (values of the lattice spacings can be found in the links above).

Solution Notebook by Juan Fernandez

Qs/comments: personal email, academic email

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