REVIEW 10 cited by
Functional integrals for QCD at nonzero chemical potential and zero density
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
In a Euclidean space functional integral treatment of the free energy of QCD, a chemical potential enters only through the functional determinant of the Dirac operator which for any flavor is $\dslash + m - \mu_f \gamma_0$ (where $\mu_f$ is the chemical potential for the given flavor). Any nonzero $\mu$ alters all of the eigenvalues of the Dirac operator relative to the $\mu=0$ value, leading to a naive expectation that the determinant is altered and which thereby alters the free energy. Phenomenologically, this does not occur at T=0 for sufficiently small $\mu$, in contradiction to this naive expectation. The problem of how to understand this phenomenological behavior in terms functional integrals is solved for the case of an isospin chemical through the study of the spectrum of the operator $\gamma_0 (\dslash + m)$.
Forward citations
Cited by 10 Pith papers
-
Four-Fermion Condensates in Curved Spacetimes: A Functional Approach
A one-loop functional derivation gives the local effective action and FLRW energy-momentum tensor for a scalar-channel NJL condensate in curved spacetime, reproducing flat-space mean-field results in the constant-cond...
-
Scalar diquarks in the QCD vacuum
A first-principles FRG approach to two-flavor QCD derives low-energy constants for the pion, sigma-meson and scalar diquark without parameters beyond QCD itself, including new diquark properties for color-superconduct...
-
Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field
Including mesonic fluctuations beyond mean field substantially modifies the phase structure of the quark-meson-diquark model, with diquark condensation dominating for strong couplings as analyzed via diquark pole mass...
-
Phase structure of quark matter and in-medium properties of mesons from Callan-Symanzik flows
A symmetry-restored Callan-Symanzik functional RG produces a physical phase diagram and meson spectral functions for the quark-meson model, where the unconstrained scheme fails.
-
QCD in the heavy dense regime for general $N_c$: On the existence of quarkyonic matter
An effective lattice calculation for heavy quarks at any Nc finds a first-order baryon onset and p~Nc scaling in the dense phase, consistent with quarkyonic matter, with continuum limits still out of reach.
-
Path optimization method for the sign problem: Insights from random matrix models
Path optimization improves the average phase factor in the Stephanov model at high chemical potential but not at low chemical potential or in the chiral random matrix model, pointing to the global sign problem as the ...
-
Thermodynamics in symmetry-improved Cornwall-Jackiw-Tomboulis formalism: application to the low-energy effective theory of QCD
The symmetry-improved CJT formalism yields stable global thermodynamic quantities across different pressure prescriptions in the three-flavor linear sigma model, with quantitative differences near the chiral transition.
-
Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach
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.
-
Dissecting the moat regime at low energies I: Renormalization and the phase structure
In the random phase approximation, a convenient renormalization scheme for momentum-dependent meson self-energies shows that the moat regime extent in the QCD phase diagram depends critically on in-medium quark-meson ...
-
Strangeness neutrality and the QCD phase diagram
Strangeness neutrality imposes a constraint linking baryon-strangeness correlations to the QCD equation of state, with their dependence on freeze-out conditions computed in a 2+1 flavor Polyakov-quark-meson model usin...
Discussion (0). Continue with ORCID to comment.