Soft thermal contributions to 3-loop gauge coupling

Laine, M.; Schicho, P.; Schröder, Y. (2018). Soft thermal contributions to 3-loop gauge coupling. Journal of High Energy Physics, 2018(5) Springer 10.1007/JHEP05(2018)037

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We analyze 3-loop contributions to the gauge coupling felt by ultrasoft (“mag- netostatic”) modes in hot Yang-Mills theory. So-called soft/hard terms, originating from dimension-six operators within the soft effective theory, are shown to cancel 1097/1098 of the IR divergence found in a recent determination of the hard 3-loop contribution to the soft gauge coupling. The remaining 1/1098 originates from ultrasoft/hard contributions, induced by dimension-six operators in the ultrasoft effective theory. Soft 3-loop contributions are likewise computed, and are found to be IR divergent, rendering the ultrasoft gauge coupling non-perturbative at relative order O(α3/2). We elaborate on the implications of these findings for effective theory studies of physical observables in thermal QCD.

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:

Laine, Mikko Sakari and Schicho, Philipp Maximilian

Subjects:

500 Science > 530 Physics

ISSN:

1029-8479

Publisher:

Springer

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

30 Aug 2018 15:43

Last Modified:

27 Oct 2019 11:52

Publisher DOI:

10.1007/JHEP05(2018)037

ArXiv ID:

1803.08689

BORIS DOI:

10.7892/boris.119667

URI:

https://boris.unibe.ch/id/eprint/119667

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