Stochastic reconstructions of spectral functions: Application to lattice QCD - INSPIRE

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Stochastic reconstructions of spectral functions: Application to lattice QCD

Heng-Tong Ding
(
- CCNU, Wuhan, Inst. Part. Phys. and
- Hua-Zhong Normal U., LQLP
)
,
O. Kaczmarek
(
)
,
S. Mukherjee
(
- Brookhaven
)
,
H. Ohno
(
- Brookhaven and
- Tsukuba U., CCS
)
,
H.T Shu
(
- CCNU, Wuhan, Inst. Part. Phys. and
- Hua-Zhong Normal U., LQLP
)

Dec 9, 2017

24 pages

Published in:

Phys.Rev.D 97 (2018) 9, 094503

Published: May 11, 2018

e-Print:

1712.03341 [hep-lat]

DOI:

10.1103/PhysRevD.97.094503

View in:

ADS Abstract Service

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Abstract: (APS)

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.

Note:

24 pages, 18 figures

12.38.Gc
12.38.Mh
25.75.Nq
25.75.-q
correlation function: Euclidean
fermion: Wilson
quark gluon: plasma
numerical methods: stochastic
spectral representation
lattice field theory

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