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Spectral representation of the shear viscosity for local scalar QFTs at finite temperature

  • In local scalar quantum field theories at finite temperature correlation functions are known to satisfy certain nonperturbative constraints, which for two-point functions in particular implies the existence of a generalization of the standard Källén-Lehmann representation. In this work, we use these constraints in order to derive a spectral representation for the shear viscosity arising from the thermal asymptotic states, η0. As an example, we calculate η0 in ϕ4 theory, establishing its leading behavior in the small and large coupling regimes.

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Author:Peter LowdonORCiDGND, Ralf-Arno TripoltORCiDGND, Jan M. PawlowskiORCiDGND, Dirk-Hermann RischkeORCiDGND
URN:urn:nbn:de:hebis:30:3-627300
DOI:https://doi.org/10.1103/PhysRevD.104.065010
ISSN:2470-0029
Parent Title (English):Physical review
Publisher:Inst.
Place of publication:Woodbury, NY
Document Type:Article
Language:English
Date of Publication (online):2021/09/13
Date of first Publication:2021/09/13
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2022/02/14
Tag:Finite temperature field theory; Nonperturbative effects in field theory; Quantum field theory
Volume:104
Issue:6, art. 5010
Page Number:13
First Page:1
Last Page:13
Note:
The work of P. L. and D. H. R. is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the Collaborative Research Center CRC-TR 211 “Strong-interaction matter under extreme conditions”—Project No. 315477589-TRR 211. R.-A. T. is supported by the Austrian Science Fund (FWF) through Lise Meitner Grant No. M 2908-N. The work of J. M. P is supported by the DFG under Germany’s Excellence Strategy Grant No. EXC 2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster), and under the Collaborative Research Centre SFB 1225 (ISOQUANT), and the BMBF Grant No. 05P18VHFCA.
HeBIS-PPN:491727054
Institutes:Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - Namensnennung 4.0