### Stochastic Reconstructions of Spectral Functions: Application to Lattice QCD

Ding H-T, Kaczmarek O, Mukherjee S, Ohno H, Shu H-T (2018)
Physical Review D 97(9): 094503.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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Autor*in
Ding, Heng-Tong; Kaczmarek, OlafUniBi ; Mukherjee, Swagato; Ohno, Hiroshi; Shu, Hai-Tao
Abstract / Bemerkung
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. We find that SAI and SOM give consistent results that suggest dissociation of $\eta_c$ and $J/\psi$ in the gluon plasma already at $1.5T_c$. These findings reinforce the previous conclusions of Ref.~\cite{Ding:2012sp} that was solely based on MEM.
Erscheinungsjahr
2018
Zeitschriftentitel
Physical Review D
Band
97
Ausgabe
9
Art.-Nr.
094503
ISSN
2470-0010
Page URI
https://pub.uni-bielefeld.de/record/2917426

### Zitieren

Ding H-T, Kaczmarek O, Mukherjee S, Ohno H, Shu H-T. Stochastic Reconstructions of Spectral Functions: Application to Lattice QCD. Physical Review D. 2018;97(9): 094503.
Ding, H. - T., Kaczmarek, O., Mukherjee, S., Ohno, H., & Shu, H. - T. (2018). Stochastic Reconstructions of Spectral Functions: Application to Lattice QCD. Physical Review D, 97(9), 094503. doi:10.1103/PhysRevD.97.094503
Ding, H. - T., Kaczmarek, O., Mukherjee, S., Ohno, H., and Shu, H. - T. (2018). Stochastic Reconstructions of Spectral Functions: Application to Lattice QCD. Physical Review D 97:094503.
Ding, H.-T., et al., 2018. Stochastic Reconstructions of Spectral Functions: Application to Lattice QCD. Physical Review D, 97(9): 094503.
H.-T. Ding, et al., “Stochastic Reconstructions of Spectral Functions: Application to Lattice QCD”, Physical Review D, vol. 97, 2018, : 094503.
Ding, H.-T., Kaczmarek, O., Mukherjee, S., Ohno, H., Shu, H.-T.: Stochastic Reconstructions of Spectral Functions: Application to Lattice QCD. Physical Review D. 97, : 094503 (2018).
Ding, Heng-Tong, Kaczmarek, Olaf, Mukherjee, Swagato, Ohno, Hiroshi, and Shu, Hai-Tao. “Stochastic Reconstructions of Spectral Functions: Application to Lattice QCD”. Physical Review D 97.9 (2018): 094503.

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### Quellen

arXiv: 1712.03341

Inspire: 1642442