High temperature expansion of double scaled SYK

Abstract

We study the high temperature (or small inverse temperature $\beta$) expansion of the free energy of double scaled SYK model. We find that this expansion is a convergent series with a finite radius of convergence. It turns out that the radius of convergence is determined by the first zero of the partition function on the imaginary $\beta$-axis. We also show that the semi-classical expansion of the free energy obtained from the saddle point approximation of the exact result is consistent with the high temperature expansion of the free energy.

13 pages

References in corpus (2)

• The bulk Hilbert space of double scaled SYK
• Hartle-Hawking wavefunction in double scaled SYK

Cited by in corpus (2)

• Quantum gravity of the Heisenberg algebra
• Unveiling Novel Insights in Quantum Dynamics through Extended Sachdev-Ye-Kitaev Model