Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-11-26
PoSLAT2007:118,2007
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 1 figure, talk presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4, 2007, Regens
Scientific paper
In lattice QCD spectrum calculations, it is desirable to obtain multiple excited state energies in each symmetry channel. Typically, one constructs several interpolating operators for the symmetry channel of interest, forms the `correlator matrix' of all possible two-point functions, and uses the variational method to obtain as many energy levels as possible. We present a detailed look at this last step, starting from a discussion of the symmetry properties and spectral structure of the correlator matrix. We continue by motivating and describing the variational method, before discussing some conceptual and practical challenges concerning the light baryon sector. We conclude by mentioning some alternate spectrum extraction methods currently under study. Throughout, we attempt to quantify all approximations and assumptions, and we illustrate our points using a nucleon correlator matrix estimated on dynamical two-flavor lattice data.
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