Hard thermal loop benchmark for the extraction of the nonperturbative QQ[over ¯] potential

Burnier, Yannis; Rothkopf, Alexander (2013). Hard thermal loop benchmark for the extraction of the nonperturbative QQ[over ¯] potential. Physical review. D - particles, fields, gravitation, and cosmology, 87(11), pp. 114019-1. Melville, N.Y.: American Physical Society 10.1103/PhysRevD.87.114019

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The extraction of the finite temperature heavy quark potential from lattice QCD relies on a spectral analysis of the Wilson loop. General arguments tell us that the lowest lying spectral peak encodes, through its position and shape, the real and imaginary parts of this complex potential. Here we benchmark this extraction strategy using leading order hard-thermal loop (HTL) calculations. In other words, we analytically calculate the Wilson loop and determine the corresponding spectrum. By fitting its lowest lying peak we obtain the real and imaginary parts and confirm that the knowledge of the lowest peak alone is sufficient for obtaining the potential. Access to the full spectrum allows an investigation of spectral features that do not contribute to the potential but can pose a challenge to numerical attempts of an analytic continuation from imaginary time data. Differences in these contributions between the Wilson loop and gauge fixed Wilson line correlators are discussed. To better understand the difficulties in a numerical extraction we deploy the maximum entropy method with extended search space to HTL correlators in Euclidean time and observe how well the known spectral function and values for the real and imaginary parts are reproduced. Possible venues for improvement of the extraction strategy are discussed.

Item Type:

Journal Article (Original Article)

Division/Institute:

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

UniBE Contributor:

Burnier, Yannis and Rothkopf, Alexander Karl

Subjects:

500 Science > 530 Physics

ISSN:

1550-7998

Publisher:

American Physical Society

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

12 Mar 2014 11:18

Last Modified:

24 Feb 2016 09:34

Publisher DOI:

10.1103/PhysRevD.87.114019

BORIS DOI:

10.7892/boris.43766

URI:

https://boris.unibe.ch/id/eprint/43766

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