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arXiv · hep-th/0206226

Rotational Symmetry Breaking in Multi-Matrix Models

J. F. Wheater·G. Vernizzi
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Abstract

We consider a class of multi-matrix models with an action which is O(D) invariant, where D is the number of NxN Hermitian matrices X_μ, μ=1,...,D. The action is a function of all the elementary symmetric functions of the matrix $T_{μν}=Tr(X_μX_ν)/N$. We address the issue whether the O(D) symmetry is spontaneously broken when the size N of the matrices goes to infinity. The phase diagram in the space of the parameters of the model reveals the existence of a critical boundary where the O(D) symmetry is maximally broken.

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J. F. Wheater, G. Vernizzi. 2002-06-25. Rotational Symmetry Breaking in Multi-Matrix Models. https://doi.org/10.1103/physrevd.66.085024%2010.1103%2Fphysrevd.67.029904

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