Stochastic reconstructions of spectral functions: Application to lattice QCD
Abstract
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.
- Authors:
-
- 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:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1462432
- Alternate Identifier(s):
- OSTI ID: 1436822
- Report Number(s):
- BNL-207877-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1902174
- Grant/Contract Number:
- SC0012704; SC001270
- Resource 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)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
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., 2018.
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. https://doi.org/10.1103/PhysRevD.97.094503
Ding, H. -T., Kaczmarek, O., Mukherjee, Swagato, Ohno, H., and Shu, H. -T. Thu .
"Stochastic reconstructions of spectral functions: Application to lattice QCD". United States. https://doi.org/10.1103/PhysRevD.97.094503. https://www.osti.gov/servlets/purl/1462432.
@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 = {Thu May 10 00:00:00 EDT 2018},
month = {Thu May 10 00:00:00 EDT 2018}
}
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Works referenced in this record:
Production of soft dileptons in the quark-gluon plasma
journal, May 1990
- Braaten, Eric; Pisarski, Robert D.; Yuan, Tzu Chiang
- Physical Review Letters, Vol. 64, Issue 19
Infinite temperature limit of meson spectral functions calculated on the lattice
journal, July 2003
- Karsch, F.; Laermann, E.; Stickan, S.
- Physical Review D, Vol. 68, Issue 1
Dilepton Production in p+p, Au+Au collisions at and U+U collisions at
journal, November 2017
- Brandenburg, James D.
- Nuclear Physics A, Vol. 967
Measurements of dielectron production in Au + Au collisions at GeV from the STAR experiment
journal, August 2015
- Adamczyk, L.; Adkins, J. K.; Agakishiev, G.
- Physical Review C, Vol. 92, Issue 2
Lattice constraints on the thermal photon rate
journal, July 2016
- Ghiglieri, J.; Kaczmarek, O.; Laine, M.
- Physical Review D, Vol. 94, Issue 1
Charmonium at high temperature in two-flavor QCD
journal, November 2007
- Aarts, Gert; Allton, Chris; Oktay, Mehmet Buǧrahan
- Physical Review D, Vol. 76, Issue 9
Chiral and deconfinement aspects of the QCD transition
journal, March 2012
- Bazavov, A.; Bhattacharya, T.; Cheng, M.
- Physical Review D, Vol. 85, Issue 5
Scalable replica-exchange framework for Wang-Landau sampling
journal, August 2014
- Vogel, Thomas; Li, Ying Wai; Wüst, Thomas
- Physical Review E, Vol. 90, Issue 2
Källén-Lehmann spectroscopy for (un)physical degrees of freedom
journal, January 2014
- Dudal, David; Oliveira, Orlando; Silva, Paulo J.
- Physical Review D, Vol. 89, Issue 1
Maximum entropy analysis of the spectral functions in lattice QCD
journal, January 2001
- Asakawa, M.
- Progress in Particle and Nuclear Physics, Vol. 46, Issue 2
Thermal quarkonium physics in the pseudoscalar channel
journal, November 2017
- Burnier, Y.; Ding, H. -T.; Kaczmarek, O.
- Journal of High Energy Physics, Vol. 2017, Issue 11
Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
journal, May 1996
- Jarrell, Mark; Gubernatis, J. E.
- Physics Reports, Vol. 269, Issue 3
Bayesian Approach to Spectral Function Reconstruction for Euclidean Quantum Field Theories
journal, October 2013
- Burnier, Yannis; Rothkopf, Alexander
- Physical Review Letters, Vol. 111, Issue 18
Diagrammatic quantum Monte Carlo study of the Fröhlich polaron
journal, September 2000
- Mishchenko, A.; Prokof’ev, N.; Sakamoto, A.
- Physical Review B, Vol. 62, Issue 10
In-medium dispersion relations of charmonia studied by the maximum entropy method
journal, January 2017
- Ikeda, Atsuro; Asakawa, Masayuki; Kitazawa, Masakiyo
- Physical Review D, Vol. 95, Issue 1
Charmonium properties in hot quenched lattice QCD
journal, July 2012
- Ding, H. -T.; Francis, A.; Kaczmarek, O.
- Physical Review D, Vol. 86, Issue 1
Nonperturbative estimate of the heavy quark momentum diffusion coefficient
journal, December 2015
- Francis, A.; Kaczmarek, O.; Laine, M.
- Physical Review D, Vol. 92, Issue 11
Production versus Centrality, Transverse Momentum, andRapidity in Collisions at
journal, June 2007
- Adare, A.; Afanasiev, S.; Aidala, C.
- Physical Review Letters, Vol. 98, Issue 23
Charge transport and vector meson dissociation across the thermal phase transition in lattice QCD with two light quark flavors
journal, March 2016
- Brandt, Bastian B.; Francis, Anthony; Jäger, Benjamin
- Physical Review D, Vol. 93, Issue 5
Continuum and lattice meson spectral functions at nonzero momentum and high temperature
journal, October 2005
- Aarts, Gert; Martínez Resco, Jose M.
- Nuclear Physics B, Vol. 726, Issue 1-2
Suppression of high transverse momentum D mesons in central Pb-Pb collisions at $ \sqrt{{{s_{\mathrm{NN}}}}}=2.76\;\mathrm{TeV} $
journal, September 2012
- Abelev, B.; Adam, J.; Adamová, D.
- Journal of High Energy Physics, Vol. 2012, Issue 9
Constant contribution in meson correlators at finite temperature
journal, May 2007
- Umeda, Takashi
- Physical Review D, Vol. 75, Issue 9
Thermodynamics of strong-interaction matter from lattice QCD
journal, October 2015
- Ding, Heng-Tong; Karsch, Frithjof; Mukherjee, Swagato
- International Journal of Modern Physics E, Vol. 24, Issue 10
Suppression of non-prompt J/ψ, prompt J/ψ, and $ \Upsilon $ (1S) in PbPb collisions at $ \sqrt {{{s_{\text{NN}}}}} = 2.76 $ TeV
journal, May 2012
- Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M.
- Journal of High Energy Physics, Vol. 2012, Issue 5
Analytic continuation of quantum Monte Carlo data by stochastic analytical inference
journal, May 2010
- Fuchs, Sebastian; Pruschke, Thomas; Jarrell, Mark
- Physical Review E, Vol. 81, Issue 5
The order of the quantum chromodynamics transition predicted by the standard model of particle physics
journal, October 2006
- Aoki, Y.; Endrődi, G.; Fodor, Z.
- Nature, Vol. 443, Issue 7112
Dielectron production in Au + Au collisions at GeV
journal, January 2016
- Adare, A.; Aidala, C.; Ajitanand, N. N.
- Physical Review C, Vol. 93, Issue 1
Thermal dilepton rates and electrical conductivity of the QGP from the lattice
journal, August 2016
- Ding, Heng-Tong; Kaczmarek, Olaf; Meyer, Florian
- Physical Review D, Vol. 94, Issue 3