A low temperature expansion for matrix quantum mechanics
- Lin, Ying-HsuanJefferson Physical Laboratory, Harvard University, 17 Oxford St., Cambridge, MA, 02138, U.S.A.
- Shao, Shu-Heng(Center for Theoretical Physics, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, MA, 02139, U.S.A.)
- Wang, Yifan(Center for Theoretical Physics, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, MA, 02139, U.S.A.)
- Yin, Xi(Jefferson Physical Laboratory, Harvard University, 17 Oxford St., Cambridge, MA, 02138, U.S.A.)
DOIAbstract
We analyze solutions to loop-truncated Schwinger-Dyson equations in massless N = 2 $$ \mathcal{N}=2 $$ and N = 4 $$ \mathcal{N}=4 $$ 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 N = 4 $$ \mathcal{N}=4 $$ 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 connect...
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