  We analyze solutions to loop-truncated Schwinger-Dyson equations in massless
N=2 and N=4 Wess-Zumino matrix quantum mechanics at finite temperature, where
conventional perturbation theory breaks down due to IR divergences. We find a
rather intricate low temperature expansion that involves fractional power
scaling in the temperature, based on a consistent "soft collinear"
approximation. We conjecture that at least in the N=4 matrix quantum mechanics,
such scaling behavior holds to all perturbative orders in the 1/N expansion. We
discuss some preliminary results in analyzing the gauged supersymmetric quantum
mechanics using Schwinger-Dyson equations, and comment on the connection to
metastable microstates of black holes in the holographic dual of BFSS matrix
quantum mechanics.
