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  1. We consider the thermal behavior of a large number of matrix degrees of freedom in the planar limit. We work in 0 + 1 dimensions, with D matrices, and use 1 / D as an expansion parameter. This can be thought of as a noncommutative large- D vector model, with two independent quartic couplings for the two different orderings of the matrices. We compute a thermal two-point correlator to O ( 1 / D ) and find that the degeneracy present at large D is lifted, with energy levels split by an amount 1 / D . This implies a timescale for thermal dissipation D . At high temperatures dissipation is predominantly due to one of the two quartic couplings. 
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    Free, publicly-accessible full text available January 1, 2026