Phys. Rev. D 60, 105029 (1999) [7 pages]Wilson fermions on a randomly triangulated manifoldReceived 18 May 1999; published 26 October 1999 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 2D, 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 2D is rederived. The method can, in principle, be extended to higher dimensions. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.60.105029
DOI:
10.1103/PhysRevD.60.105029
PACS:
11.15.Ha, 04.60.Nc, 11.25.Pm
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