Benchmarking the Bayesian reconstruction of the non-perturbative heavy ǪǬ potential

Burnier, Yannis; Rothkopf, Alexander Karl (20 November 2014). Benchmarking the Bayesian reconstruction of the non-perturbative heavy ǪǬ potential. PoS - proceedings of science, LATTICE2013(491). Scuola Internazionale Superiore di Studi Avanzati SISSA

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The extraction of the finite temperature heavy quark potential from lattice QCD relies on a spectral analysis of the real-time Wilson loop. Through its position and shape, the lowest lying spectral peak encodes the real and imaginary part of this complex potential. We benchmark this extraction strategy using leading order hard-thermal loop (HTL) calculations. I.e. we analytically calculate the Wilson loop and determine the corresponding spectrum. By fitting its lowest lying peak we obtain the real- and imaginary part and confirm that the knowledge of the lowest peak alone is sufficient for obtaining the potential. We deploy a novel Bayesian approach to the reconstruction of spectral functions to HTL correlators in Euclidean time and observe how well the known spectral function and values for the real and imaginary part are reproduced. Finally we apply the method to quenched lattice QCD data and perform an improved estimate of both real and imaginary part of the non-perturbative heavy ǪǬ potential.

Item Type:

Conference or Workshop Item (Paper)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Burnier, Yannis and Rothkopf, Alexander Karl

Subjects:

500 Science > 530 Physics

ISSN:

1824-8039

Publisher:

Scuola Internazionale Superiore di Studi Avanzati SISSA

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

02 Dec 2014 14:30

Last Modified:

06 Dec 2014 06:23

BORIS DOI:

10.7892/boris.60607

URI:

https://boris.unibe.ch/id/eprint/60607

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