Towards quantitative precision in the chiral crossover: masses and fluctuation scales
arXiv:1409.8414 · doi:10.1103/PhysRevD.91.054010
Abstract
We investigate the relation between the physical pion pole and screening masses and the mesonic fluctuation scale in low-energy QCD, which relates to the curvature of the mesonic effective potential. This relation is important for the correct relative weight of quantum, thermal and density fluctuations. Hence, it governs the location of phase boundaries as well as the phase structure of QCD. The identification of the correct physics scales is also primarily important for the correct adjustment of the parameters of effective models for low-energy QCD. It is shown that subject to an appropriate definition of the latter, all these scales agree at vanishing temperature, while they deviate from each other at finite temperature.
15 pages, 11 figures, 9 tables
References in corpus (10)
- Exact evolution equation for the effective potential
- Renormalization Group Approach towards the QCD Phase Diagram
- Ising exponents from the functional renormalisation group
- Improved Polyakov-loop potential for effective models from functional calculations
- Exact flow equation for composite operators
- Fluctuations in the quark-meson model for QCD with isospin chemical potential
- Non-perturbative thermal flows and resummations
- The QCD phase diagram: Results and challenges
- Flow equations for spectral functions at finite external momenta
- Functional renormalization group at finite density and Bose condensation
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- Four-fermion interactions and the chiral symmetry breaking in an external magnetic field
- Padé approximants and analytic continuation of Euclidean Phi-derivable approximations
- Fluctuation-induced higher-derivative couplings and infrared dynamics of the Quark-Meson-Diquark Model