Abstract
We investigate general frameworks for calculating transport coefficients for quasiparticle theories at finite temperature. Hadronic transport coefficients are then computed using the linear sigma model (LSM). The bulk viscosity over entropy density ($\zeta/s$) is evaluated in the relaxation time approximation (RTA) and the specific shear viscosity ($\eta/s$) and static electrical conductivity ($\sigma_{el}/T$) are both obtained in the RTA and using a functional variational approach. Results are shown for different values of the scalar-isoscalar hadron vacuum mass with in-medium masses for the interacting fields. The advantages and limitations of the LSM for studies of strongly interacting matter out of equilibrium are discussed and results are compared with others in the literature.
Highlights
The behavior of strongly interacting matter in extreme conditions of temperature and density is the subject of a vibrant experimental program and of numerous theoretical efforts
This reveals that the behavior near chiral symmetry restoration contains interesting physics that can be explored in more physical models
Having verified that we are able to resolve the dynamics we expect in the thermodynamic quantities, we compute transport coefficients beginning with the vector and tensor quantities σ /T and η/s in both the relaxation time approximation and the variational method as these do not possess exact zero modes
Summary
The behavior of strongly interacting matter in extreme conditions of temperature and density is the subject of a vibrant experimental program and of numerous theoretical efforts. A related collection of theoretical breakthroughs has shown that the dynamical evolution of this QGP is amenable to hydrodynamic modeling [2]. Hydrodynamics is able to interpret a large body of data that reflects the collectivity of the observed particles and can even make quantitative statements about local deviations from equilibrium. The relaxation time can be related to transport parameters, which are calculable in terms of correlation functions [3]. In spite of the existence of a general formalism to calculate transport parameters, obtaining them from QCD has remained challenging. This has motivated their extraction from analyses of heavy-ion phenomenology [2,4,5,6] and from effective models of the strong interaction
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