Convergent Yang-Mills Matrix Theories
We consider the partition function and correlation functions in the bosonic and supersymmetric Yang-Mills matrix models with compact semi-simple gauge group. In the supersymmetric case, we show that the partition function converges when $D=4,6$ and 10, and that correlation functions of degree $k&...
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| Format: | Journal article |
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2001
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| _version_ | 1797052884414627840 |
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| author | Austing, P Wheater, J |
| author_facet | Austing, P Wheater, J |
| author_sort | Austing, P |
| collection | OXFORD |
| description | We consider the partition function and correlation functions in the bosonic and supersymmetric Yang-Mills matrix models with compact semi-simple gauge group. In the supersymmetric case, we show that the partition function converges when $D=4,6$ and 10, and that correlation functions of degree $k< k_c=2(D-3)$ are convergent independently of the group. In the bosonic case we show that the partition function is convergent when $D \geq D_c$, and that correlation functions of degree $k < k_c$ are convergent, and calculate $D_c$ and $k_c$ for each group, thus extending our previous results for SU(N). As a special case these results establish that the partition function and a set of correlation functions in the IKKT IIB string matrix model are convergent. |
| first_indexed | 2024-03-06T18:36:57Z |
| format | Journal article |
| id | oxford-uuid:0b933f53-ccb4-41bb-9a15-37f8ffef94d0 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:36:57Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:0b933f53-ccb4-41bb-9a15-37f8ffef94d02022-03-26T09:30:08ZConvergent Yang-Mills Matrix TheoriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0b933f53-ccb4-41bb-9a15-37f8ffef94d0Symplectic Elements at Oxford2001Austing, PWheater, JWe consider the partition function and correlation functions in the bosonic and supersymmetric Yang-Mills matrix models with compact semi-simple gauge group. In the supersymmetric case, we show that the partition function converges when $D=4,6$ and 10, and that correlation functions of degree $k< k_c=2(D-3)$ are convergent independently of the group. In the bosonic case we show that the partition function is convergent when $D \geq D_c$, and that correlation functions of degree $k < k_c$ are convergent, and calculate $D_c$ and $k_c$ for each group, thus extending our previous results for SU(N). As a special case these results establish that the partition function and a set of correlation functions in the IKKT IIB string matrix model are convergent. |
| spellingShingle | Austing, P Wheater, J Convergent Yang-Mills Matrix Theories |
| title | Convergent Yang-Mills Matrix Theories |
| title_full | Convergent Yang-Mills Matrix Theories |
| title_fullStr | Convergent Yang-Mills Matrix Theories |
| title_full_unstemmed | Convergent Yang-Mills Matrix Theories |
| title_short | Convergent Yang-Mills Matrix Theories |
| title_sort | convergent yang mills matrix theories |
| work_keys_str_mv | AT austingp convergentyangmillsmatrixtheories AT wheaterj convergentyangmillsmatrixtheories |