Journal
PHYSICAL REVIEW D
Volume 104, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.104.065010
Keywords
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Funding
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the Collaborative Research Center CRC-TR 211 Strong-interaction matter under extreme conditions [315477589-TRR 211]
- Austrian Science Fund (FWF) through Lise Meitner Grant [M 2908-N]
- DFG under Germany's Excellence Strategy [EXC 2181/1-390900948]
- BMBF [05P18VHFCA]
- DFG under Collaborative Research Centre SFB 1225 (ISOQUANT)
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In this work, we derive a spectral representation for the shear viscosity arising from the thermal asymptotic states, eta(0), using nonperturbative constraints in local scalar quantum field theories at finite temperature. As an example, we calculate eta(0) in the phi(4) theory and establish its leading behavior in the small and large coupling regimes.
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 Kallen-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, eta(0). As an example, we calculate eta(0) in phi(4) theory, establishing its leading behavior in the small and large coupling regimes.
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