A solution to the fermion doubling problem for supersymmetric theories on the transverse lattice

Details A solution to the fermion doubling problem for supersymmetric theories on the transverse lattice A solution to the fermion doubling problem for supersymmetric theories on the transverse lattice

2004-08-16

arxiv.org/abs/hep-lat/0408026v2

Phys.Rev. D70 (2004) 087701

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, v2: a reference and comments added, the version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.70.087701

Species doubling is a problem that infects most numerical methods that use a spatial lattice. An understanding of species doubling can be found in the Nielsen-Ninomiya theorem which gives a set of conditions that require species doubling. The transverse lattice approach to solving field theories, which has at least one spatial lattice, fails one of the conditions of the Nielsen-Ninomiya theorem nevertheless one still finds species doubling for the standard Lagrangian formulation of the transverse lattice. We will show that the Supersymmetric Discrete Light Cone Quantization (SDLCQ) formulation of the transverse lattice does not have species doubling.

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