scholarly journals A comparison of spectral reconstruction methods applied to non-zero temperature NRQCD meson correlation functions

2022 ◽  
Vol 258 ◽  
pp. 05011
Author(s):  
Thomas Spriggs ◽  
Gert Aarts ◽  
Chris Allton ◽  
Timothy Burns ◽  
Rachel Horohan D’Arcy ◽  
...  

We present results from the fastsum collaboration’s programme to determine the spectrum of the bottomonium system as a function of temperature. Three different methods of extracting spectral information are discussed: a Maximum Likelihood approach using a Gaussian spectral function for the ground state, the Backus Gilbert method, and the Kernel Ridge Regression machine learning procedure. We employ the fastsum anisotropic lattices with 2+1 dynamical quark flavours, with temperatures ranging from 47 to 375 MeV.

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Pengfei Zhang

Abstract In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with U(1) charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping term. In the zero-temperature and small coupling limit with small averaged chemical potential, the ground state is an eternal wormhole connecting two sides, with a specific charge Q = 0, which is equivalent to a thermofield double state. We derive the conformal Green’s functions and determine corresponding IR parameters. At higher chemical potential, the system transit into the black hole phase. We further derive the Schwarzian effective action and study its quench dynamics. Finally, we compare numerical results with the analytical predictions.


2006 ◽  
Author(s):  
S. Matsunaga ◽  
S. Sakaguchi ◽  
M. Yamashita ◽  
S. Miyahara ◽  
S. Nishitani ◽  
...  

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