Numerical corrections to the strong coupling effective Polyakov-line action for finite T Yang-Mills theory

Bergner, Georg; Langelage, J.; Philipsen, O. (2015). Numerical corrections to the strong coupling effective Polyakov-line action for finite T Yang-Mills theory. Journal of High Energy Physics, 2015(11) Springer 10.1007/JHEP11(2015)010

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We consider a three-dimensional effective theory of Polyakov lines derived previously from lattice Yang-Mills theory and QCD by means of a resummed strong coupling expansion. The effective theory is useful for investigations of the phase structure, with a sign problem mild enough to allow simulations also at finite density. In this work we present a numerical method to determine improved values for the effective couplings directly from correlators of 4d Yang-Mills theory. For values of the gauge coupling up to the vicinity of the phase transition, the dominant short range effective coupling are well described by their corresponding strong coupling series. We provide numerical results also for the longer range interactions, Polyakov lines in higher representations as well as four-point interactions, and discuss the growing significance of non-local contributions as the lattice gets finer. Within this approach the critical Yang-Mills coupling β c is reproduced to better than one percent from a one-coupling effective theory on N τ = 4 lattices while up to five couplings are needed on N τ = 8 for the same accuracy.

Item Type:

Journal Article (Original Article)

Division/Institute:

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

UniBE Contributor:

Bergner, Georg

Subjects:

500 Science > 530 Physics

ISSN:

1029-8479

Publisher:

Springer

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

20 Nov 2015 15:51

Last Modified:

20 Nov 2015 16:17

Publisher DOI:

10.1007/JHEP11(2015)010

ArXiv ID:

1505.01021v1

BORIS DOI:

10.7892/boris.73204

URI:

https://boris.unibe.ch/id/eprint/73204

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