On the continuum limit of fermionic topological charge in lattice gauge theory
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 con...
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sg-ntu-dr.10356-1011802023-02-28T19:22:31Z On the continuum limit of fermionic topological charge in lattice gauge theory Adams, David H. School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Topology 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. Published version 2013-12-17T06:42:51Z 2019-12-06T20:34:48Z 2013-12-17T06:42:51Z 2019-12-06T20:34:48Z 2001 2001 Journal Article Adams, D. H. (2001). On the continuum limit of fermionic topological charge in lattice gauge theory. Journal of mathematical physics, 42(12), 5522. 0022-2488 https://hdl.handle.net/10356/101180 http://hdl.handle.net/10220/18280 10.1063/1.1415087 en Journal of mathematical physics © 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. 13 p. application/pdf |
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DRNTU::Science::Mathematics::Topology Adams, David H. On the continuum limit of fermionic topological charge in lattice gauge theory |
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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. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Adams, David H. |
| format |
Article |
| author |
Adams, David H. |
| author_sort |
Adams, David H. |
| title |
On the continuum limit of fermionic topological charge in lattice gauge theory |
| title_short |
On the continuum limit of fermionic topological charge in lattice gauge theory |
| title_full |
On the continuum limit of fermionic topological charge in lattice gauge theory |
| title_fullStr |
On the continuum limit of fermionic topological charge in lattice gauge theory |
| title_full_unstemmed |
On the continuum limit of fermionic topological charge in lattice gauge theory |
| title_sort |
on the continuum limit of fermionic topological charge in lattice gauge theory |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/101180 http://hdl.handle.net/10220/18280 |
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1759853552455385088 |