Minimal domain-wall Skyrmions in magnetized QCD are fermions with baryon number one that split from bosonic pairs without energy cost.
QCD at finite temperature and chemical potential from Dyson-Schwinger equations
9 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We review results for the phase diagram of QCD, the properties of quarks and gluons and the resulting properties of strongly interacting matter at finite temperature and chemical potential. The interplay of two different but related transitions in QCD, chiral symmetry restoration and deconfinement, leads to a rich phenomenology when external parameters such as quark masses, volume, temperature and chemical potential are varied. We discuss the progress in this field from a theoretical perspective, focusing on non-perturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We aim at a pedagogical overview on the physics associated with the structure of this framework and explain connections to other approaches, in particular with the functional renormalization group and lattice QCD. We discuss various aspects associated with the variation of the quark masses, assess recent results for the QCD phase diagram including the location of a putative critical end-point for $N_f=2+1$ and $N_f=2+1+1$, discuss results for quark spectral functions and summarise aspects of QCD thermodynamics and fluctuations.
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FunKit is a computer algebra toolkit that automates derivation of functional equations such as Dyson-Schwinger and functional RG from arbitrary master equations, with tracing via FORM and export to numerical code.
Uniform MPS simulations of dense 1+1D SU(2) gauge theory find Tomonaga-Luttinger liquid infrared behavior with central charge 1, density modulations at the predicted wavenumber, and a smooth crossover in the Luttinger parameter from K~1 to K~1/2 that realizes the quarkyonic picture with coexisting q
A coupled DSE-FRG-holographic model predicts the QCD critical end point at T_CEP approximately 130-135 MeV and mu_B,CEP approximately 600 MeV, with sensitivity to regulator and normalization choices.
Including mesonic fluctuations beyond mean field in the quark-meson-diquark model substantially modifies the phase structure, with diquark condensation dominating at strong couplings as revealed by pole masses and the Silver-Blaze property.
Varying interaction strength in DSE/BSE models produces meson degeneracies whose domains shrink with model realism, linked to quark propagator pole locations and possible chiral spin symmetry.
In the two-flavor linear sigma model with quarks, the chiral phase transition at T=0 is first order and occurs at a quark chemical potential equal to the vacuum quark mass.
In a constructed QCD equation of state incorporating surface energy, critical exponents require temperature within 1% of the critical value, casting doubt on their measurability in heavy ion experiments.
Parametric study of medium-induced shifts in the GBE quark model for baryon masses and their qualitative effect on ideal-gas yields.
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Fermionic domain-wall Skyrmions of QCD in a magnetic field
Minimal domain-wall Skyrmions in magnetized QCD are fermions with baryon number one that split from bosonic pairs without energy cost.
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Unified Functional-Holographic Theory of the QCD Critical End Point
A coupled DSE-FRG-holographic model predicts the QCD critical end point at T_CEP approximately 130-135 MeV and mu_B,CEP approximately 600 MeV, with sensitivity to regulator and normalization choices.