Polyakov Lines in Yang-Mills Matrix Models
We study the Polyakov line in Yang-Mills matrix models, which include the IKKT model of IIB string theory. For the gauge group SU(2) we give the exact formulae in the form of integral representations which are convenient for finding the asymptotic behaviour. For the SU(N) bosonic models we prove upp...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Published: |
2003
|
| _version_ | 1826286727866613760 |
|---|---|
| author | Austing, P Vernizzi, G Wheater, J |
| author_facet | Austing, P Vernizzi, G Wheater, J |
| author_sort | Austing, P |
| collection | OXFORD |
| description | We study the Polyakov line in Yang-Mills matrix models, which include the IKKT model of IIB string theory. For the gauge group SU(2) we give the exact formulae in the form of integral representations which are convenient for finding the asymptotic behaviour. For the SU(N) bosonic models we prove upper bounds which decay as a power law at large momentum p. We argue that these capture the full asymptotic behaviour. We also indicate how to extend the results to some correlation functions of Polyakov lines. |
| first_indexed | 2024-03-07T01:48:02Z |
| format | Journal article |
| id | oxford-uuid:991ad18a-b583-42f2-ab38-a16b73a74526 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:48:02Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | oxford-uuid:991ad18a-b583-42f2-ab38-a16b73a745262022-03-27T00:11:45ZPolyakov Lines in Yang-Mills Matrix ModelsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:991ad18a-b583-42f2-ab38-a16b73a74526Symplectic Elements at Oxford2003Austing, PVernizzi, GWheater, JWe study the Polyakov line in Yang-Mills matrix models, which include the IKKT model of IIB string theory. For the gauge group SU(2) we give the exact formulae in the form of integral representations which are convenient for finding the asymptotic behaviour. For the SU(N) bosonic models we prove upper bounds which decay as a power law at large momentum p. We argue that these capture the full asymptotic behaviour. We also indicate how to extend the results to some correlation functions of Polyakov lines. |
| spellingShingle | Austing, P Vernizzi, G Wheater, J Polyakov Lines in Yang-Mills Matrix Models |
| title | Polyakov Lines in Yang-Mills Matrix Models |
| title_full | Polyakov Lines in Yang-Mills Matrix Models |
| title_fullStr | Polyakov Lines in Yang-Mills Matrix Models |
| title_full_unstemmed | Polyakov Lines in Yang-Mills Matrix Models |
| title_short | Polyakov Lines in Yang-Mills Matrix Models |
| title_sort | polyakov lines in yang mills matrix models |
| work_keys_str_mv | AT austingp polyakovlinesinyangmillsmatrixmodels AT vernizzig polyakovlinesinyangmillsmatrixmodels AT wheaterj polyakovlinesinyangmillsmatrixmodels |