Stress-stress correlator in ϕ4 theory: poles or a cut?
- 24 Downloads
We explore the analytical properties of the traceless stress tensor 2-point function at zero momentum and small frequency (relevant for shear viscosity and hydrodynamic response) in hot, weakly coupled λϕ4 theory. We show that, rather than one or a small number of poles, the correlator has a cut along the negative imaginary frequency axis. We briefly discuss this result’s relevance for constructing 2’nd order hydrodynamic models of hot relativistic field theories.
KeywordsThermal Field Theory Quark-Gluon Plasma
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- I. Müller, Zum Paradoxon der Wärmeleitungstheorie (in German), Z. Phys. 198 (1967) 329 [INSPIRE].
- L.P. Kadanoff and G. Baym, Quantum statistical mechanics: Green’s function methods in equilibrium and nonequilibrium problems, Front. Phys., W.A. Benjamin, U.S.A., (1962).Google Scholar
- M. Reed and B. Simon, Methods of modern mathematical physics. 1. Functional analysis, Academic Press, U.S.A., (1972).Google Scholar