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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011 Issue 1(22), Pages 172–178 (Mi vsgtu876)

Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mathematical Physics

Matrix models and parquet approximation

A. O. Shishanin

Dept of Experimental Physics, Peoples Friendship University of Russia, Moscow

Abstract: In this work we consider the comparison of planar and planar parquet approximations for zero-dimensional hermitian matrix models. We discuss how the parquet approach reproduces planar one for matrix model $\phi^4$, multi-trace model, two-matrix model and the Goldstone matrix model.

Keywords: matrix models, planar approximation, Schwinger–Dyson equations, parquet equations.

UDC: 530.14

MSC: 81T10

Original article submitted 20/XII/2010
revision submitted – 20/III/2011

DOI: 10.14498/vsgtu876



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