A low temperature expansion for matrix quantum mechanics

作者：Lin Ying Hsuan^*; Shao Shu Heng; Wang Yifan; Yin Xi

来源：The Journal of High Energy Physics, 2015, 2015(5): 136.

DOI：10.1007/JHEP05(2015)136

• Supersymmetric gauge theory
• Gauge-gravity correspondence
• M(atrix) Theories
• M-Theory

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.

• 出版日期2015-5-26