Monopole clusters in Abelian projected gauge theories
We show that the monopole currents which one obtains in the maximally Abelian gauge of SU(2) fall into two quite distinct classes (when the volume is large enough). In each field configuration there is precisely one cluster that permeates the whole lattice volume. It has a current density and a magn...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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1997
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| _version_ | 1797053936284205056 |
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| author | Hart, A Teper, M |
| author_facet | Hart, A Teper, M |
| author_sort | Hart, A |
| collection | OXFORD |
| description | We show that the monopole currents which one obtains in the maximally Abelian gauge of SU(2) fall into two quite distinct classes (when the volume is large enough). In each field configuration there is precisely one cluster that permeates the whole lattice volume. It has a current density and a magnetic screening mass that scale and it produces the whole of the string tension. The remaining clusters have a number density that follows an approximate power law proportional to the inverse cube of l where l is the length of the monopole world line in lattice units. These clusters are localised in space-time with radii which vary as the square root of l. In terms of the radius r these `lumps' have a scale-invariant distribution proportional to (dr/r . 1/{r^4}). Moreover they appear not to contribute at all to the string tension. The fact that they are scale-invariant at small distances would seem to rule out an instanton origin. |
| first_indexed | 2024-03-06T18:50:33Z |
| format | Journal article |
| id | oxford-uuid:10122feb-df47-483f-88f6-61ee178cdab5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:50:33Z |
| publishDate | 1997 |
| record_format | dspace |
| spelling | oxford-uuid:10122feb-df47-483f-88f6-61ee178cdab52022-03-26T09:54:30ZMonopole clusters in Abelian projected gauge theoriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:10122feb-df47-483f-88f6-61ee178cdab5EnglishSymplectic Elements at Oxford1997Hart, ATeper, MWe show that the monopole currents which one obtains in the maximally Abelian gauge of SU(2) fall into two quite distinct classes (when the volume is large enough). In each field configuration there is precisely one cluster that permeates the whole lattice volume. It has a current density and a magnetic screening mass that scale and it produces the whole of the string tension. The remaining clusters have a number density that follows an approximate power law proportional to the inverse cube of l where l is the length of the monopole world line in lattice units. These clusters are localised in space-time with radii which vary as the square root of l. In terms of the radius r these `lumps' have a scale-invariant distribution proportional to (dr/r . 1/{r^4}). Moreover they appear not to contribute at all to the string tension. The fact that they are scale-invariant at small distances would seem to rule out an instanton origin. |
| spellingShingle | Hart, A Teper, M Monopole clusters in Abelian projected gauge theories |
| title | Monopole clusters in Abelian projected gauge theories |
| title_full | Monopole clusters in Abelian projected gauge theories |
| title_fullStr | Monopole clusters in Abelian projected gauge theories |
| title_full_unstemmed | Monopole clusters in Abelian projected gauge theories |
| title_short | Monopole clusters in Abelian projected gauge theories |
| title_sort | monopole clusters in abelian projected gauge theories |
| work_keys_str_mv | AT harta monopoleclustersinabelianprojectedgaugetheories AT teperm monopoleclustersinabelianprojectedgaugetheories |