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arXiv:hep-th/9307116 · Physics Letters B

Nonlinear renormalization group equation for matrix models

Saburo Higuchi, Chigak Itoi, Shinsuke Nishigaki, Norisuke Sakai

Published Nov 1, 1993• 30 citations
arXivHTMLPDF
DOI
10.1016/0370-2693(93)91785-l

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This chapter introduces two kinds of RG methods for solving the leading eigenvalue and eigenvectors of a transfer matrix: TMRG (transfer matrix renormalization group) and CTMRG (corner transfer matrix renormalization group). These methods are developed to study the thermodynamic properties of two-dimensional classical statistical models. Furthermore, in the framework of MPS, the fixed-point equations of these methods are derived, and the steps for efficiently solving these equations are outlined.