2024/09/09 by Anegawa, Takanori, Iizuka, Norihiro, Kabat, Daniel · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2409.05981
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 non-commutative 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 \cal 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.