SU(N) gauge theories in four dimensions: exploring the approach to N = infinity
We calculate the string tension, σ, and some of the lightest glueball masses, mG, in 3 + 1-dimensional SU(N) lattice gauge theories for 2 ≤ N ≤ 5. From the continuum extrapolation of the lattice values, we find that the mass ratios mG/√σ appear to show a rapid approach to the large-N limit, and, ind...
| Main Authors: | , |
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| Format: | Journal article |
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2001
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| _version_ | 1797088727014572032 |
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| author | Lucini, B Teper, M |
| author_facet | Lucini, B Teper, M |
| author_sort | Lucini, B |
| collection | OXFORD |
| description | We calculate the string tension, σ, and some of the lightest glueball masses, mG, in 3 + 1-dimensional SU(N) lattice gauge theories for 2 ≤ N ≤ 5. From the continuum extrapolation of the lattice values, we find that the mass ratios mG/√σ appear to show a rapid approach to the large-N limit, and, indeed, can be described all the way down to SU(2) using just a leading O(1/N2) correction. We confirm that the smooth large-N limit we find, is obtained by keeping a constant 't Hooft coupling. We also calculate the topological charge of the gauge fields. We observe that, as expected, the density of small-size instantons vanishes rapidly as N increases, while the topological susceptibility appears to have a non-zero N = ∞ limit. |
| first_indexed | 2024-03-07T02:54:13Z |
| format | Journal article |
| id | oxford-uuid:aebb5654-e575-4a47-984e-25f4934b91b8 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:54:13Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:aebb5654-e575-4a47-984e-25f4934b91b82022-03-27T03:44:31ZSU(N) gauge theories in four dimensions: exploring the approach to N = infinityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:aebb5654-e575-4a47-984e-25f4934b91b8Symplectic Elements at Oxford2001Lucini, BTeper, MWe calculate the string tension, σ, and some of the lightest glueball masses, mG, in 3 + 1-dimensional SU(N) lattice gauge theories for 2 ≤ N ≤ 5. From the continuum extrapolation of the lattice values, we find that the mass ratios mG/√σ appear to show a rapid approach to the large-N limit, and, indeed, can be described all the way down to SU(2) using just a leading O(1/N2) correction. We confirm that the smooth large-N limit we find, is obtained by keeping a constant 't Hooft coupling. We also calculate the topological charge of the gauge fields. We observe that, as expected, the density of small-size instantons vanishes rapidly as N increases, while the topological susceptibility appears to have a non-zero N = ∞ limit. |
| spellingShingle | Lucini, B Teper, M SU(N) gauge theories in four dimensions: exploring the approach to N = infinity |
| title | SU(N) gauge theories in four dimensions: exploring the approach to N = infinity |
| title_full | SU(N) gauge theories in four dimensions: exploring the approach to N = infinity |
| title_fullStr | SU(N) gauge theories in four dimensions: exploring the approach to N = infinity |
| title_full_unstemmed | SU(N) gauge theories in four dimensions: exploring the approach to N = infinity |
| title_short | SU(N) gauge theories in four dimensions: exploring the approach to N = infinity |
| title_sort | su n gauge theories in four dimensions exploring the approach to n infinity |
| work_keys_str_mv | AT lucinib sungaugetheoriesinfourdimensionsexploringtheapproachtoninfinity AT teperm sungaugetheoriesinfourdimensionsexploringtheapproachtoninfinity |