Chiral symmetry breaking and topology for all N
We investigate spontaneous chiral symmetry breaking in SU(N) gauge theories at large N using overlap fermions. The exact zero modes and the low-lying modes of the Dirac operator provide the tools to gain insight into the interplay between chiral symmetry breaking and topology. We find that topology...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Sprog: | English |
| Udgivet: |
2004
|
| _version_ | 1826264126040571904 |
|---|---|
| author | Cundy, N Teper, M Wenger, U |
| author_facet | Cundy, N Teper, M Wenger, U |
| author_sort | Cundy, N |
| collection | OXFORD |
| description | We investigate spontaneous chiral symmetry breaking in SU(N) gauge theories at large N using overlap fermions. The exact zero modes and the low-lying modes of the Dirac operator provide the tools to gain insight into the interplay between chiral symmetry breaking and topology. We find that topology indeed drives chiral symmetry breaking at N = 3 as well as at large N. By comparing the results on various volumes and at different lattice spacings we are able to show that our conclusions are not affected by finite volume effects and also hold in the continuum limit. We then address the question whether the topology can be usefully described in terms of instantons. © 2004 Elsevier B.V. All rights reserved. |
| first_indexed | 2024-03-06T20:02:45Z |
| format | Journal article |
| id | oxford-uuid:27e2109f-7d8b-4352-ab81-28613a11afe2 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:02:45Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:27e2109f-7d8b-4352-ab81-28613a11afe22022-03-26T12:09:28ZChiral symmetry breaking and topology for all NJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:27e2109f-7d8b-4352-ab81-28613a11afe2EnglishSymplectic Elements at Oxford2004Cundy, NTeper, MWenger, UWe investigate spontaneous chiral symmetry breaking in SU(N) gauge theories at large N using overlap fermions. The exact zero modes and the low-lying modes of the Dirac operator provide the tools to gain insight into the interplay between chiral symmetry breaking and topology. We find that topology indeed drives chiral symmetry breaking at N = 3 as well as at large N. By comparing the results on various volumes and at different lattice spacings we are able to show that our conclusions are not affected by finite volume effects and also hold in the continuum limit. We then address the question whether the topology can be usefully described in terms of instantons. © 2004 Elsevier B.V. All rights reserved. |
| spellingShingle | Cundy, N Teper, M Wenger, U Chiral symmetry breaking and topology for all N |
| title | Chiral symmetry breaking and topology for all N |
| title_full | Chiral symmetry breaking and topology for all N |
| title_fullStr | Chiral symmetry breaking and topology for all N |
| title_full_unstemmed | Chiral symmetry breaking and topology for all N |
| title_short | Chiral symmetry breaking and topology for all N |
| title_sort | chiral symmetry breaking and topology for all n |
| work_keys_str_mv | AT cundyn chiralsymmetrybreakingandtopologyforalln AT teperm chiralsymmetrybreakingandtopologyforalln AT wengeru chiralsymmetrybreakingandtopologyforalln |