Abstract
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.
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Lin, YH., Shao, SH., Wang, Y. et al. A low temperature expansion for matrix quantum mechanics. J. High Energ. Phys. 2015, 136 (2015). https://doi.org/10.1007/JHEP05(2015)136
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DOI: https://doi.org/10.1007/JHEP05(2015)136