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Title: 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 often-used 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 clover-improved Wilson fermions on large, fine, isotropic lattices at 0:75 and 1:5 Tc, 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.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [1]
  1. Central China Normal Univ., Wuhan (China)
  2. Central China Normal Univ., Wuhan (China); Univ. Bielefeld, Bielefeld (Germany)
  3. Brookhaven National Lab. (BNL), Upton, NY (United States)
  4. Brookhaven National Lab. (BNL), Upton, NY (United States); Univ. of Tsukuba, Ibaraki (Japan)
Publication Date:
Report Number(s):
BNL-207877-2018-JAAM
Journal ID: ISSN 2470-0010; 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 2470-0010
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) (SC-26)
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 often-used 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 clover-improved 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}
}