Convergent Yang-Mills Matrix Theories

Journal article

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.

Authors: Austing, P; Wheater, J

• Publication status: Published
• Publication date: 2001-03-20
• DOI: 10.1088/1126-6708/2001/04/019
• EISSN: 1029-8479
• ISSN: 1029-8479
• Keywords: hep-th