Towards an algebraic approach to the discretisation of fermions

Details Towards an algebraic approach to the discretisation of fermions Towards an algebraic approach to the discretisation of fermions

2005-10-05

arxiv.org/abs/hep-lat/0510028v1

PoS LAT2005:276,2006

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages

Scientific paper

A discretisation scheme for differential geometry is applied to the problem of constructing lattice actions, the naive and staggered action are thus derived. It is found that after specifying an ansatz for the space of fields, the corresponding lattice action is obtained. The gauging procedure, and the applicability of the method to twisted super-symmetry on a lattice is outlined. Some comments on the QED axial anomaly are made, for the theory in which the lattice projection operator is not inserted.

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