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High temperature expansion of double scaled SYK
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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.
Forward citations
Cited by 2 Pith papers
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Modular structures in the DSSYK partition function
The low-temperature DSSYK partition function is organized by quasi-modular Eisenstein series, obeys an exact heat-type differential equation, and its non-perturbative sector is supported on triangular exponents matchi...
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Non-perturbative corrections in the semi-classical limit of double-scaled SYK
Non-perturbative corrections in the small-coupling limit of the double-scaled SYK partition function are resummed into a cubic power of the Dedekind eta function, in both the low-energy and low-temperature limits.
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