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https://hdl.handle.net/10356/101180| Title: | On the continuum limit of fermionic topological charge in lattice gauge theory | Authors: | Adams, David H. | Keywords: | DRNTU::Science::Mathematics::Topology | Issue Date: | 2001 | Source: | Adams, D. H. (2001). On the continuum limit of fermionic topological charge in lattice gauge theory. Journal of mathematical physics, 42(12), 5522. | Series/Report no.: | Journal of mathematical physics | Abstract: | It is proved that the fermionic topological charge of SU(N) lattice gauge fields on the four-torus, given in terms of a spectral flow of the Hermitian Wilson–Dirac operator or, equivalently, as the index of the overlap Dirac operator, reduces to the continuum topological charge in the classical continuum limit when the parameter m 0 is in the physical region 0<m 0 <2. | URI: | https://hdl.handle.net/10356/101180 http://hdl.handle.net/10220/18280 |
ISSN: | 0022-2488 | DOI: | 10.1063/1.1415087 | Schools: | School of Physical and Mathematical Sciences | Rights: | © 2001 American Institute of Physics. This paper was published in Journal of Mathematical Physics and is made available as an electronic reprint (preprint) with permission of American Institute of Physics. The paper can be found at the following official DOI: http://dx.doi.org/10.1063/1.1415087. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
| Appears in Collections: | SPMS Journal Articles |
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| On the continuum limit of fermionic topological charge in lattice gauge theory.pdf | 279.29 kB | Adobe PDF |  View/Open |
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