Rotational Symmetry Breaking in Multi-Matrix Models
نویسندگان
چکیده
We consider a class of multi-matrix models with an action which is O(D)-invariant, where D is the number of N × N Hermitian matrices Xμ, μ = 1, . . . , D. The action is a function of all the elementary symmetric functions of the matrix Tμν = Tr(XμXν)/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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