Functional renormalization group studies of nuclear and neutron matter
arXiv:1610.07568 · doi:10.1016/j.ppnp.2016.10.002
Abstract
Functional renormalization group (FRG) methods applied to calculations of isospin-symmetric and asymmetric nuclear matter as well as neutron matter are reviewed. The approach is based on a chiral Lagrangian expressed in terms of nucleon and meson degrees of freedom as appropriate for the hadronic phase of QCD with spontaneously broken chiral symmetry. Fluctuations beyond mean-field approximation are treated solving Wetterich's FRG flow equations. Nuclear thermodynamics and the nuclear liquid-gas phase transition are investigated in detail, both in symmetric matter and as a function of the proton fraction in asymmetric matter. The equations of state at zero temperature of symmetric nuclear matter and pure neutron matter are found to be in good agreement with advanced ab-initio many-body computations. Contacts with perturbative many-body approaches (in-medium chiral perturbation theory) are discussed. As an interesting test case, the density dependence of the pion mass in the medium is investigated. The question of chiral symmetry restoration in nuclear and neutron matter is addressed. A stabilization of the phase with spontaneously broken chiral symmetry is found to persist up to high baryon densities once fluctuations beyond mean-field are included. Neutron star matter including beta equilibrium is discussed under the aspect of the constraints imposed by the existence of two-solar-mass neutron stars.
76 pages, 25 figures
References in corpus (21)
- Shapiro delay measurement of a two solar mass neutron star
- A Massive Pulsar in a Compact Relativistic Binary
- Exact evolution equation for the effective potential
- Chiral effective field theory and nuclear forces
- The QCD equation of state with dynamical quarks
- Three-body forces: From cold atoms to nuclei
- Hyperon Puzzle: Hints from Quantum Monte Carlo Calculations
- Constraints on the Symmetry Energy Using the Mass-Radius Relation of Neutron Stars
- Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
- Renormalization Group Approach towards the QCD Phase Diagram
- Experimental status of the isoscalar S wave at low energy: pole and scattering length
- Chiral EFT based nuclear forces: Achievements and challenges
- In-medium chiral condensate beyond linear density approximation
- Non-perturbative thermal flows and resummations
- Perturbation theory and non-perturbative renormalization flow in scalar field theory at finite temperature
- From asymmetric nuclear matter to neutron stars: a functional renormalization group study
- Density-dependent effective baryon-baryon interaction from chiral three-baryon forces
- Critical temperature for the nuclear liquid-gas phase transition (from multifragmentation and fission)
- Chiral condensate in neutron matter
- Functional renormalization group approach to neutron matter
- Spectral functions from the functional renormalization group at finite temperature and density