TY - JOUR A1 - Lowdon, Peter A1 - Tripolt, Ralf-Arno A1 - Pawlowski, Jan M. A1 - Rischke, Dirk-Hermann T1 - Spectral representation of the shear viscosity for local scalar QFTs at finite temperature T2 - Physical review N2 - 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. KW - Finite temperature field theory KW - Nonperturbative effects in field theory KW - Quantum field theory Y1 - 2021 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/62730 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-627300 SN - 2470-0029 N1 - 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. VL - 104 IS - 6, art. 5010 SP - 1 EP - 13 PB - Inst. CY - Woodbury, NY ER -