# A low temperature expansion for matrix quantum mechanics

Journal of High Energy Physics, May 2015

We analyze solutions to loop-truncated Schwinger-Dyson equations in massless $$\mathcal{N}=2$$ and $$\mathcal{N}=4$$ 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 $$\mathcal{N}=4$$ 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.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2FJHEP05%282015%29136.pdf

Ying-Hsuan Lin, Shu-Heng Shao, Yifan Wang, Xi Yin. A low temperature expansion for matrix quantum mechanics, Journal of High Energy Physics, 2015, 136, DOI: 10.1007/JHEP05(2015)136