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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 155, Number 2, Pages 236–243
DOI: https://doi.org/10.4213/tmf6207 (Mi tmf6207) 		 
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
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DOI: https://doi.org/10.4213/tmf6207
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
English version:
Theoretical and Mathematical Physics, 2008, Volume 155, Issue 2, Pages 708–714
DOI: https://doi.org/10.1007/s11232-008-0060-5
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Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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