The Charm Quark on the Lattice

Andreas S. Kronfeld

arXiv:hep-lat/9211043·hep-lat·October 22, 2009

The Charm Quark on the Lattice

Andreas S. Kronfeld

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Abstract

We formulate lattice fermions in a way that encompasses Wilson fermions as well as the static and non-relativistic approximations. In particular, we treat $m_{q} a$ systematically ( $m_{q}$ is the fermion mass) showing how to understand the Wilson action as an effective action for systems with $\vek p ≪ m_{q}$ . The results show how to extract matrix elements and the spectrum from simulations with $m_{q} a \approx 1$ , which is relevant for the charm quark.

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