頁籤選單縮合
題 名 | Dirac Operator Index and Topology of Lattice Gauge Fields |
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作 者 | Adams,David H.; | 書刊名 | Chinese Journal of Physics |
卷 期 | 38:3(Part2) 民89.06 |
頁 次 | 頁633-646 |
分類號 | 339.41 |
關鍵詞 | |
語 文 | 英文(English) |
英文摘要 | The fermionic topological charge of lattice gauge fields, given in terms of a spectral flow of the Hermitian Wilson-Dirac operator, or equivalently, as the index of Neuberger's lattice Dirac operator, is shown to have analogous properties to Lüscher's geometrical lattice topological charge. The main new result is that it reduces to the continuum topological charge in the classical continuum limit. (This is sketched here; the full proof will be given in a sequel to this paper.) A potential application of the ideas behind fermionic lattice topological charge to deriving a combinatorial construction of the signature invariant of a 4-manifold is also discussed. |
本系統中英文摘要資訊取自各篇刊載內容。