Wilson Fermions on a Randomly Triangulated Manifold

Details Wilson Fermions on a Randomly Triangulated Manifold Wilson Fermions on a Randomly Triangulated Manifold

1999-05-11

arxiv.org/abs/hep-lat/9905015v2

Phys.Rev. D60 (1999) 105029

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, latex, 6 eps figures, fig2 corrected, Comment added in the conclusion section

Scientific paper

10.1103/PhysRevD.60.105029

A general method of constructing the Dirac operator for a randomly triangulated manifold is proposed. The fermion field and the spin connection live, respectively, on the nodes and on the links of the corresponding dual graph. The construction is carried out explicitly in 2-d, on an arbitrary orientable manifold without boundary. It can be easily converted into a computer code. The equivalence, on a sphere, of Majorana fermions and Ising spins in 2-d is rederived. The method can, in principle, be extended to higher dimensions.

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