Stochastic reconstructions of spectral functions: Application to lattice QCD
Here, we present a detailed study of the applications of two stochastic approaches, stochastic optimization method (SOM) and stochastic analytical inference (SAI), to extract spectral functions from Euclidean correlation functions. SOM has the advantage that it does not require prior information. On the other hand, SAI is a more generalized method based on Bayesian inference. Under mean field approximation SAI reduces to the oftenused maximum entropy method (MEM), and for a specific choice of the prior SAI becomes equivalent to SOM. To test the applicability of these two stochastic methods to lattice QCD, Firstly, we apply these methods to various reasonably chosen model correlation functions, and present detailed comparisons of the reconstructed spectral functions obtained from SOM, SAI and MEM. Next, we present similar studies for charmonia correlation functions obtained from lattice QCD computations using cloverimproved Wilson fermions on large, fine, isotropic lattices at 0:75 and 1:5 T_{c}, T_{c} being the deconfinement transition temperature of a pure gluon plasma. We find that SAI and SOM give consistent results to MEM at these two temperatures.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]};
^{[1]}
 Central China Normal Univ., Wuhan (China)
 Central China Normal Univ., Wuhan (China); Univ. Bielefeld, Bielefeld (Germany)
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Brookhaven National Lab. (BNL), Upton, NY (United States); Univ. of Tsukuba, Ibaraki (Japan)
 Publication Date:
 Report Number(s):
 BNL2078772018JAAM
Journal ID: ISSN 24700010; PRVDAQ
 Grant/Contract Number:
 SC0012704; SC001270
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 97; Journal Issue: 9; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Research Org:
 Brookhaven National Laboratory (BNL), Upton, NY (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
 OSTI Identifier:
 1462432
 Alternate Identifier(s):
 OSTI ID: 1436822
Ding, H. T., Kaczmarek, O., Mukherjee, Swagato, Ohno, H., and Shu, H. T.. Stochastic reconstructions of spectral functions: Application to lattice QCD. United States: N. p.,
Web. doi:10.1103/PhysRevD.97.094503.
Ding, H. T., Kaczmarek, O., Mukherjee, Swagato, Ohno, H., & Shu, H. T.. Stochastic reconstructions of spectral functions: Application to lattice QCD. United States. doi:10.1103/PhysRevD.97.094503.
Ding, H. T., Kaczmarek, O., Mukherjee, Swagato, Ohno, H., and Shu, H. T.. 2018.
"Stochastic reconstructions of spectral functions: Application to lattice QCD". United States.
doi:10.1103/PhysRevD.97.094503.
@article{osti_1462432,
title = {Stochastic reconstructions of spectral functions: Application to lattice QCD},
author = {Ding, H. T. and Kaczmarek, O. and Mukherjee, Swagato and Ohno, H. and Shu, H. T.},
abstractNote = {Here, we present a detailed study of the applications of two stochastic approaches, stochastic optimization method (SOM) and stochastic analytical inference (SAI), to extract spectral functions from Euclidean correlation functions. SOM has the advantage that it does not require prior information. On the other hand, SAI is a more generalized method based on Bayesian inference. Under mean field approximation SAI reduces to the oftenused maximum entropy method (MEM), and for a specific choice of the prior SAI becomes equivalent to SOM. To test the applicability of these two stochastic methods to lattice QCD, Firstly, we apply these methods to various reasonably chosen model correlation functions, and present detailed comparisons of the reconstructed spectral functions obtained from SOM, SAI and MEM. Next, we present similar studies for charmonia correlation functions obtained from lattice QCD computations using cloverimproved Wilson fermions on large, fine, isotropic lattices at 0:75 and 1:5Tc, Tc being the deconfinement transition temperature of a pure gluon plasma. We find that SAI and SOM give consistent results to MEM at these two temperatures.},
doi = {10.1103/PhysRevD.97.094503},
journal = {Physical Review D},
number = 9,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}