A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions
We use lattice techniques to calculate the continuum string tensions of SU(N) gauge theories in 2+1 dimensions. We attempt to control all systematic errors at a level that allows us to perform a precise test of the analytic prediction of Karabali, Kim and Nair. We find that their prediction is withi...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2006
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| _version_ | 1797069246477369344 |
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| author | Bringoltz, B Teper, M |
| author_facet | Bringoltz, B Teper, M |
| author_sort | Bringoltz, B |
| collection | OXFORD |
| description | We use lattice techniques to calculate the continuum string tensions of SU(N) gauge theories in 2+1 dimensions. We attempt to control all systematic errors at a level that allows us to perform a precise test of the analytic prediction of Karabali, Kim and Nair. We find that their prediction is within 3% of our values for all N and that the discrepancy decreases with increasing N. When we extrapolate our results to N=oo we find that there remains a discrepancy of ~ 1%, which is a convincing ~6 sigma effect. Thus, while the Karabali-Nair analysis is remarkably accurate at N=oo, it is not exact. |
| first_indexed | 2024-03-06T22:21:38Z |
| format | Journal article |
| id | oxford-uuid:553f61e1-b653-4e1e-8c68-af3181b55d00 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:21:38Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:553f61e1-b653-4e1e-8c68-af3181b55d002022-03-26T16:42:49ZA precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:553f61e1-b653-4e1e-8c68-af3181b55d00EnglishSymplectic Elements at Oxford2006Bringoltz, BTeper, MWe use lattice techniques to calculate the continuum string tensions of SU(N) gauge theories in 2+1 dimensions. We attempt to control all systematic errors at a level that allows us to perform a precise test of the analytic prediction of Karabali, Kim and Nair. We find that their prediction is within 3% of our values for all N and that the discrepancy decreases with increasing N. When we extrapolate our results to N=oo we find that there remains a discrepancy of ~ 1%, which is a convincing ~6 sigma effect. Thus, while the Karabali-Nair analysis is remarkably accurate at N=oo, it is not exact. |
| spellingShingle | Bringoltz, B Teper, M A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions |
| title | A precise calculation of the fundamental string tension in SU(N) gauge
theories in 2+1 dimensions |
| title_full | A precise calculation of the fundamental string tension in SU(N) gauge
theories in 2+1 dimensions |
| title_fullStr | A precise calculation of the fundamental string tension in SU(N) gauge
theories in 2+1 dimensions |
| title_full_unstemmed | A precise calculation of the fundamental string tension in SU(N) gauge
theories in 2+1 dimensions |
| title_short | A precise calculation of the fundamental string tension in SU(N) gauge
theories in 2+1 dimensions |
| title_sort | precise calculation of the fundamental string tension in su n gauge theories in 2 1 dimensions |
| work_keys_str_mv | AT bringoltzb aprecisecalculationofthefundamentalstringtensioninsungaugetheoriesin21dimensions AT teperm aprecisecalculationofthefundamentalstringtensioninsungaugetheoriesin21dimensions AT bringoltzb precisecalculationofthefundamentalstringtensioninsungaugetheoriesin21dimensions AT teperm precisecalculationofthefundamentalstringtensioninsungaugetheoriesin21dimensions |