Topology and index theorem with a generalized Villain lattice action – a test in 2d
Using 2-d U(1) lattice gauge theory we study two definitions of the topological charge constructed from a generalized Villain action and analyze the implementation of the index theorem based on the overlap Dirac operator. One of the two definitions expresses the topological charge as a sum of the Vi...
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Elsevier
2019-08-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269319304551 |
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doaj-cc43c89ca896419b89914d7bb7b08fa22020-11-25T01:48:51ZengElsevierPhysics Letters B0370-26932019-08-01795581586Topology and index theorem with a generalized Villain lattice action – a test in 2dChristof Gattringer0Pascal Törek1Corresponding author.; Universität Graz, Institut für Physik11 Member of NAWI Graz., Universitätsplatz 5, 8010 Graz, AustriaUniversität Graz, Institut für Physik11 Member of NAWI Graz., Universitätsplatz 5, 8010 Graz, AustriaUsing 2-d U(1) lattice gauge theory we study two definitions of the topological charge constructed from a generalized Villain action and analyze the implementation of the index theorem based on the overlap Dirac operator. One of the two definitions expresses the topological charge as a sum of the Villain variables and treats charge conjugation symmetry exactly, making it particularly useful for studying related physics. Our numerical analysis establishes that for both topological charge definitions the index theorem becomes exact quickly towards the continuum limit.http://www.sciencedirect.com/science/article/pii/S0370269319304551 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Christof Gattringer Pascal Törek |
| spellingShingle |
Christof Gattringer Pascal Törek Topology and index theorem with a generalized Villain lattice action – a test in 2d Physics Letters B |
| author_facet |
Christof Gattringer Pascal Törek |
| author_sort |
Christof Gattringer |
| title |
Topology and index theorem with a generalized Villain lattice action – a test in 2d |
| title_short |
Topology and index theorem with a generalized Villain lattice action – a test in 2d |
| title_full |
Topology and index theorem with a generalized Villain lattice action – a test in 2d |
| title_fullStr |
Topology and index theorem with a generalized Villain lattice action – a test in 2d |
| title_full_unstemmed |
Topology and index theorem with a generalized Villain lattice action – a test in 2d |
| title_sort |
topology and index theorem with a generalized villain lattice action – a test in 2d |
| publisher |
Elsevier |
| series |
Physics Letters B |
| issn |
0370-2693 |
| publishDate |
2019-08-01 |
| description |
Using 2-d U(1) lattice gauge theory we study two definitions of the topological charge constructed from a generalized Villain action and analyze the implementation of the index theorem based on the overlap Dirac operator. One of the two definitions expresses the topological charge as a sum of the Villain variables and treats charge conjugation symmetry exactly, making it particularly useful for studying related physics. Our numerical analysis establishes that for both topological charge definitions the index theorem becomes exact quickly towards the continuum limit. |
| url |
http://www.sciencedirect.com/science/article/pii/S0370269319304551 |
| work_keys_str_mv |
AT christofgattringer topologyandindextheoremwithageneralizedvillainlatticeactionatestin2d AT pascaltorek topologyandindextheoremwithageneralizedvillainlatticeactionatestin2d |
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1725009660776284160 |