The electric conductivity of a pion gas

Workshop for young scientists on the physics of ultrarelativistic nucleus-nucleus collisions 2016

Atchison, J.^1 ; Rapp, R.^1

Cyclotron Institute, Department of Physics and Astronomy, Texas A and M University, College Station

TX

77843-3366, United States^1

关键词: Conformal field theories;    Coupling strengths;    Gauge invariance;    Hadronic matters;    Many-body theory;    Spectral function;    Transport coefficient;    Vertex correction;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/832/1/012057/pdf
DOI  :  10.1088/1742-6596/832/1/012057

来源: IOP

【 摘 要 】

The determination of transport coefficients plays a central role in characterizing hot and dense nuclear matter. In the present work we calculate the electric conductivity of hot hadronic matter by extracting it from the ρ meson spectral function, as its zero-energy limit at vanishing momentum. Using hadronic many-body theory, we calculate the ρ meson self-energy in a pion gas. This requires the dressing of the pion propagators in the ρ self-energy with π-ρ loops, and the inclusion of vertex corrections to maintain gauge invariance. The resulting spectral function is used to calculate the electric conductivity of hot hadronic matter. In particular, we analyze the transport peak of the spectral function and extract its behavior with temperature and coupling strength. Our results suggest that, while obeying lower bounds proposed by conformal field theories in the strong-coupling limit, hot pion matter is a strongly-coupled medium.