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Functional integrals for QCD at nonzero chemical potential and zero density

6 Pith papers cite this work. Polarity classification is still indexing.

6 Pith papers citing it
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 $\gamma_0 (\dslash + m)$.

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representative citing papers

The massive Thirring / sine-Gordon model with non-zero current density

nucl-th · 2026-05-08 · unverdicted · novelty 5.0

Optimal bounds from current-density calculations constrain the energy density versus number density in the massive Thirring/sine-Gordon model by a factor of two at high densities for any coupling, with the lower bound becoming exact at low densities.

Strangeness neutrality and the QCD phase diagram

hep-ph · 2019-07-18 · unverdicted · novelty 4.0

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 using the functional renormalization group.

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