A low temperature expansion for matrix quantum mechanics
Name
Lin-2015-A low temperature ex.pdf
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930.7 KB
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Author(s)
Lin, Ying-Hsuan
Shao, Shu-Heng
Wang, Yifan
Yin, Xi
Date Issued
May 2015
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Lin, Ying-Hsuan, Shu-Heng Shao, Yifan Wang, and Xi Yin. “A Low Temperature Expansion for Matrix Quantum Mechanics.” J. High Energ. Phys. 2015, no. 5 (May 2015).
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/jhep05(2015)136
