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On the large <i>D</i> expansion of Hermitian multi-matrix models

On the large <i>D</i> expansion of Hermitian multi-matrix models

We investigate the existence and properties of a double asymptotic expansion in 1/N2 and 1/D in U(N) × O(D) invariant Hermitian multi-matrix models, where the N × N matrices transform in the vector representation of O(D). The crucial point is to prove the existence of an upper bound η(h) on …