Renormalization group approach towards the QCD phase diagram

Schaefer, Bernd-Jochen; Wambach, J.

doi:10.1134/s1063779608070083

Cited by 161 publications

(210 citation statements)

References 30 publications

(42 reference statements)

Supporting

Mentioning

210

Contrasting

Order By: Relevance

“…In this section we present our results obtained from the full FRG flow, the solutions of the full flow equation discretized on a grid in field space [43], including the fluctuations from collective mesonic excitations as per Eq. (25).…”

Section: B Frg Results With Mesonic Fluctuationsmentioning

confidence: 99%

“…The mean-field calculation can be improved by including mesonic fluctuations, which is done here within the framework of the Functional Renormalization Group (FRG), a powerful non-perturbative tool in quantum field theory and statistical physics, see [40][41][42][43][44] for QCDrelated reviews. The central object in the approach pioneered by Wetterich is the effective average action Γ k which generalizes the effective action Γ by introducing a coarse graining scale up to which quantum fluctuations are included.…”

Section: B Construction Of the Parity-doublet Modelmentioning

confidence: 99%

See 1 more Smart Citation

Chiral mirror-baryon-meson model and nuclear matter beyond mean-field approximation

2015

View full text Add to dashboard Cite

We consider a chiral baryon-meson model for nucleons and their parity partners in mirror assignment interacting with pions, sigma and omega mesons to describe the liquid-gas transition of nuclear matter together with chiral symmetry restoration in the high density phase. Within the mean-field approximation the model is known to provide a phenomenologically successful description of the nuclear-matter transition. Here, we go beyond this approximation and include mesonic fluctuations by means of the functional renormalization group. While these fluctuations do not lead to major qualitative changes in the phase diagram of the model, beyond mean-field, one is no-longer free to adjust the parameters so as to reproduce the binding energy per nucleon, the nuclear saturation density, and the nucleon sigma term all at the same time. However, the prediction of a clear first-order chiral transition at low temperatures inside the high baryon-density phase appears to be robust.

show abstract

Section: B Frg Results With Mesonic Fluctuationsmentioning

confidence: 99%

Section: B Construction Of the Parity-doublet Modelmentioning

confidence: 99%

Chiral mirror-baryon-meson model and nuclear matter beyond mean-field approximation

2015

View full text Add to dashboard Cite

show abstract

“…An alternative and very efficient approach to include fluctuations in quantum field theory is the functional renormalization group (FRG) [17,18]. For homogeneous phases, this method has successfully been applied to the QM model [203], but its extension to inhomogeneous phases has yet to be developed.…”

Section: Discussionmentioning

confidence: 99%

Inhomogeneous chiral condensates

Buballa

Carignano

2015

Progress in Particle and Nuclear Physics

241

258

View full text Add to dashboard Cite

The chiral condensate, which is constant in vacuum, may become spatially modulated at moderately high densities where in the traditional picture of the QCD phase diagram a first-order chiral phase transition occurs. We review the current status of this idea, which originally dates back to Migdal's pion condensation, but recently received new momentum through studies on the nature of the chiral critical point and by the conjecture of a quarkyonic-matter phase. We discuss how these nonuniform phases emerge in generalized Ginzburg-Landau analyses as well as in specific calculations, both within effective models and in Dyson-Schwinger or large-N c approaches to QCD. Questions about the most favored shape of the modulations and its dimension, and about the effects of nonzero isospin chemical potential, strange quarks, color superconductivity, and external magnetic fields on these inhomogeneous phases will be addressed as well.

show abstract

“…Quantitative descriptions and predictions for many-body systems close to critical phenomena require the proper inclusion of fluctuations beyond mean-field approximation [71,72,73,74,75,76]. Renormalization group methods, widely used in many different fields of physics, are particularly useful to deal with these issues.…”

Section: Functional Renormalization Group: Concepts and Principlesmentioning

confidence: 99%

Functional renormalization group studies of nuclear and neutron matter

Drews

Weise

2017

Progress in Particle and Nuclear Physics

View full text Add to dashboard Cite

Functional renormalization group (FRG) methods applied to calculations of isospinsymmetric 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.

show abstract

Renormalization group approach towards the QCD phase diagram

Cited by 161 publications

References 30 publications

Chiral mirror-baryon-meson model and nuclear matter beyond mean-field approximation

Chiral mirror-baryon-meson model and nuclear matter beyond mean-field approximation

Inhomogeneous chiral condensates

Functional renormalization group studies of nuclear and neutron matter

Contact Info

Product

Resources

About