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Oscillatory terms in the Domain Wall Transfer matrix for M > 1

Presenter: John Negele — MIT

Sergey Sysritsyn and John W. Negele

We study the transfer matrix for domain wall fermions to understand the origin and significance of oscillatory contributions to hadron correlation functions that arise for M >1. For a free particle in one space, one time, and one flavor dimension, the eigenmodes of the one-body operator appearing in the transfer matrix are calculated, and the role of the negative eigenmodes arising when M > 1 is studied. Oscillatory behavior for hadron correlation functions in QCD is shown to emerge when M exceeds 1, and to increase with increasing M.