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"Five-dimensional Algorithms for Chiral Lattice Fermions"

Relatore: Prof. Antony D. Kennedy- University od Edinburgh (UK)

Sala Feynman
02 Maggio 2006 ore 15.30

We introduce a lattice Dirac operator for on-shell Chiral fermions, and show that it must satisfy the Ginsparg-Wilson relation, and thus can be written in the form of Neuberger's operator. It is useful to use the optimal rational approximation to the sign function therein, and this then requires the inversion of a rational function of two non-commuting operators (sign and gamma_5), which leads us to a large class of five-dimensional formulations, including the Domain Wall and various of its generalisations.