Schwinger functions and light-quark bound states

Details Schwinger functions and light-quark bound states Schwinger functions and light-quark bound states

2007-01-03

arxiv.org/abs/nucl-th/0701009v1

Few Body Syst.40:209-235,2007

Physics

Nuclear Physics

Nuclear Theory

27 pages, 14 figures

Scientific paper

10.1007/s00601-007-0174-6

We examine the applicability and viability of methods to obtain knowledge about bound-states from information provided solely in Euclidean space. Rudimentary methods can be adequate if one only requires information about the ground and first excited state and assumptions made about analytic properties are valid. However, to obtain information from Schwinger functions about higher mass states, something more sophisticated is necessary. A method based on the correlator matrix can be dependable when operators are carefully tuned and errors are small. This method is nevertheless not competitive when an unambiguous analytic continuation of even a single Schwinger function to complex momenta is available.

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