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Matrix and vector models in the strong coupling limit
D. V. Bykova, A. A. Slavnovb a M. V. Lomonosov Moscow State University, Faculty of Physics
b Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
We consider matrix and vector models in the large-$N$ limit: we study
$N\times N$ matrices and vectors with $N^2$ components. In the case of
a zero-dimensional model $(D=0)$, we prove that in the strong coupling limit
$(g\to\infty)$, the partition functions of the two models coincide up to a coefficient.
This also holds for $D=1$.
Keywords:
matrix model, vector model, $1/N$ expansion.
Received: 05.09.2007
Citation:
D. V. Bykov, A. A. Slavnov, “Matrix and vector models in the strong coupling limit”, TMF, 155:2 (2008), 236–243; Theoret. and Math. Phys., 155:2 (2008), 708–714
Linking options:
https://www.mathnet.ru/eng/tmf6207https://doi.org/10.4213/tmf6207 https://www.mathnet.ru/eng/tmf/v155/i2/p236
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Abstract page: | 666 | Full-text PDF : | 212 | References: | 58 | First page: | 21 |
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