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Exact relations between the conductivities and their connection to the chemical composition of QCD matter

2024/02/26 by Jan A. Fotakis, Fotakis, Jan A., Jakob E. Lohr +3
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Cold Atom Physics and Bose-Einstein Condensates #High-Energy Particle Collisions Research

paper · pdf · doi:10.48550/arxiv.2402.16552

Abstract

We present exact relations between the diffusion coefficients or conductivities, κqq'/T = σqq', of strongly-interacting matter. We show that once the diagonal entries are known in two different charge representations, the off-diagonal coefficients are functions of the diagonal entries once isospin symmetry applies. As an important example, we infer the conductivities on the basis of available calculations from lattice quantum chromodynamics (LQCD) and argue that these computations suffer under the approximations made to achieve them. Further, we argue that the representation of the conductivities w.r.t. to the conserved quark-flavors may deliver more insight into the chemical composition of strongly-interacting matter.

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