Date of Completion
Dr. Luchang Jin
We use the Infinite Volume Reconstruction Method to calculate the charged/neutral pion mass difference. The hadronic tensor is calculated on the lattice using a QCD+QED framework, and the mass shift is calculated with exponentially-suppressed finite volume errors. In this paper we discuss the Feynman diagrams relevant to the pion mass difference and we recapitulate the advantages of the Infinite Volume Reconstruction Method. We then discuss the extrapolation to the continuum limit, and report a charged/neutral pion mass difference of 4.52 MeV, which is within 1.44% of the accepted value.
Riberdy, Michael, "Infinite Volume Reconstruction Method QED Pion Mass Corrections on the Lattice" (2020). Honors Scholar Theses. 754.