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arXiv · 1304.1593

A Low Temperature Expansion for Matrix Quantum Mechanics

Ying-Hsuan Lin·Shu-Heng Shao·Yifan Wang·Xi Yin
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Abstract

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.

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Ying-Hsuan Lin, Shu-Heng Shao, Yifan Wang, Xi Yin. 2013-04-08. A Low Temperature Expansion for Matrix Quantum Mechanics. https://arxiv.org/abs/1304.1593

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