ar X iv : h ep - l at / 9 90 50 15 v 1 1 1 M ay 1 99 9 WILSON FERMIONS ON A RANDOMLY TRIANGULATED MANIFOLD
نویسندگان
چکیده
A general method of constructing the Dirac operator for a randomly trian-gulated 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.
منابع مشابه
ep - l at / 9 90 50 15 v 2 7 J ul 1 99 9 WILSON FERMIONS ON A RANDOMLY TRIANGULATED MANIFOLD
A general method of constructing the Dirac operator for a randomly trian-gulated 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...
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تاریخ انتشار 1999