Topological characteristics of lattice Dirac operators
نویسنده
چکیده
We show that even if a lattice Dirac operator satisfies the conditions consisting of locality, free of species doublings, correct continuum behavior, γ5-hermiticity and the Ginsparg-Wilson relation, it does not necessarily have exact zero modes in nontrivial gauge backgrounds. This implies that each lattice Dirac operator has its own topological characteristics which cannot be fixed by these conditions. The role of topological characteristics in the axial anomaly is derived explicitly. PACS numbers: 11.15.Ha, 11.30.Rd, 11.30.Fs
منابع مشابه
The topological characteristics of lattice Dirac operators
We formulate the topological characteristics of lattice Dirac operators in the context of the index and the chiral anomaly, and illustrate this concept by explicit examples. PACS numbers: 11.15.Ha, 11.30.Rd, 11.30.Fs In continuum, the Dirac operator of massless fermions in a smooth background gauge field with nonzero topological charge Q has zero eigenvalues and the corresponding eigenfunctions...
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تاریخ انتشار 2008