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| 題 名 | Implications of Trγ₅=0 in Lattice Gauge Theory |
|---|---|
| 作 者 | Fujikawa,Kazuo; | 書刊名 | Chinese Journal of Physics |
| 卷 期 | 38:3(Part2) 民89.06 |
| 頁 次 | 頁551-562 |
| 分類號 | 339.3 |
| 關鍵詞 | |
| 語 文 | 英文(English) |
| 英文摘要 | We analyze the implications of the relation Trγ₅,which is customarily assumed in practical lattice calculations. On the basis of the finite dimensional representations of the Ginsparg-Wilson algebra, it is shown that this relation reflects the species doubling in lattice theory; topological excitations associated with species doublers, which have eigenvalue 2/a, contribute to Trγ₅ without any suppression. In this sense, the relation Trγ₅=0 is valid only when we allow the presence of unphysical states in the Hilbert space; this statement is also valid in the Pauli-Villars regularization. If one eliminates the contributions of the unphysical states, the trace Trγ₅ is replaced by TrΓ₅≡Trγ₅(1-½αD) which gives rise to the Pontryagin index, to be consistent with the continuum analysis. |
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