Oscillatory terms in the domain wall transfer matrix

Details Oscillatory terms in the domain wall transfer matrix Oscillatory terms in the domain wall transfer matrix

2007-10-02

arxiv.org/abs/0710.0425v1

PoSLAT2007:078,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 4 figures, Proceedings of Lattice 2007 July 30 - August 4 2007, Regensburg, Germany

Scientific paper

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. In the case of three space dimensions, oscillatory behavior for hadron correlation functions in QCD is shown to emerge for free fermions when M exceeds 1, and to increase with increasing M. Analogous behavior is observed for domain wall fermions on HYP smeared MILC lattices, and a procedure is demonstrated for subtracting oscillating terms from physical observables.

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