Spectral form factor and semi-circle law in the time direction
Open Access
- 25 February 2019
- journal article
- research article
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2019 (2) , 161
Abstract
We study the time derivative of the connected part of spectral form factor, which we call the slope of ramp, in Gaussian matrix model. We find a closed formula of the slope of ramp at finite N with non-zero inverse temperature. Using this exact result, we confirm numerically that the slope of ramp exhibits a semi-circle law as a function of time.Keywords
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