Wilson Fermions on a Randomly Triangulated Manifold
High Energy Physics - Lattice
2016-08-25 v2 Condensed Matter
High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.hep-lat/9905015,
title = {Wilson Fermions on a Randomly Triangulated Manifold},
author = {Z. Burda and J. Jurkiewicz and A. Krzywicki},
journal= {arXiv preprint arXiv:hep-lat/9905015},
year = {2016}
}
Comments
18 pages, latex, 6 eps figures, fig2 corrected, Comment added in the conclusion section