Seminar detail: Dissipation in the 1/D expansion for planar matrix models

Date&Time	Tue Oct 29 2024 (17:00 - 18:00)
Speaker	Takanori Anegawa
Affiliation	Yonago Natl. Coll. Tech.
Title	Dissipation in the 1/D expansion for planar matrix models
Abstract	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.
Remarks
Slide/Video	video1