Dissipation in the 1/D expansion for planar matrix models

Monday 25 Nov 2024, 09:00 → 10:00 Asia/Tokyo

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日時 : 2024年11月25日 9:00～
講演者 : 姉川 尊徳 氏（米子高専）

題目 : Dissipation in the 1/D expansion for planar matrix models
アブストラクト：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 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.