Fermions and gauge vector mesons at finite temperature and density. III. The ground-state energy of a relativistic quark gas

Freedman, Barry; McLerran, Larry

doi:10.1103/physrevd.16.1169

Cited by 350 publications

(286 citation statements)

References 15 publications

Supporting

Mentioning

281

Contrasting

Order By: Relevance

“…As earlier, we ignore the normal state Hartree-Fock terms in the Schwinger-Dyson equation (49), and identify the thermodynamic potential in the normal phase with that of an ultrarelativistic, noninteracting Fermi gas of Fermi energy µ/3. We thus obtain [21] …”

Section: Ginzburg-landau Region At High Densitiesmentioning

confidence: 99%

“…The first is the modification of the pairing interaction due to the pairing gap, which modifies the coefficients β 1 and β 2 of the fourth order terms in A. The second is radiative corrections by the normal medium [21] -i.e., quark self-energy, gluon polarization, and quark-quark-gluon and three-gluon vertex corrections -which modify the coefficients Eqs. (30)- (34), mainly through their dependence on N (µ/3) and T c .…”

Section: General Ginzburg-landau Approachmentioning

confidence: 99%

“…where ψ C ai ≡ Cψ T ai is the charge-conjugate spinor (C = iγ 2 γ 0 in the Pauli-Dirac representation), Γ (11) is the full quark-quark-gluon vertex, Γ (21) is the full antiquark-quark-gluon vertex, D is the full gluon propagator, and the Matsubara frequencies are given by q 0 = inπT . (In Sec.…”

Section: General Ginzburg-landau Approachmentioning

confidence: 99%

“…In normal quark matter, in which global color rotational invariance is ensured by QCD interactions, the constraint of color neutrality leads to equality of the chemical potentials for quarks of different colors (see, e.g., Ref. [21]). Superfluid quark matter, on the other hand, generally has a preferred direction in color space.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Superfluid phases of quark matter: Ginzburg-Landau theory and color neutrality

2001

View full text Add to dashboard Cite

We systematically apply Ginzburg-Landau theory to determine BCS pairing in a strongly-coupled uniform superfluid of three-flavor massless quarks in flavor equilibrium. We elucidate the phase diagram near the critical temperature in the space of the parameters characterizing the thermodynamicpotential terms of fourth order in the pairing gap. Within the color and flavor antisymmetric channel with zero total angular momentum, the phase diagram contains an isoscalar, color-antitriplet phase and a color-flavor-locked phase, reached by a second order phase transition from the normal state, as well as states reached by a first order phase transition. We complement the general GinzburgLandau approach by deriving the high-density asymptotic form of the Ginzburg-Landau free energy from the finite temperature weak-coupling gap equation. The dynamically-screened, long-range color magnetic interactions are explicitly taken into account in solving the gap equation. We find that in the limit of weak coupling, the isoscalar, color-antitriplet phase has higher free energy near the transition temperature than the color-flavor locked phase.In view of the fact that deconfined quark matter must be color charge neutral, we incorporate the constraint of overall color neutrality into the general Ginzburg-Landau theory and the gap equation. This constraint yields a disparity in the chemical potential between colors and reduces the size of the pairing gap, in the presence of the anisotropy of the order parameters in color space. In comparison with the case in which there are no chemical potential differences between colors and hence the superfluid generally has nonzero net color charge, we find that while the constraint of color neutrality has only negligible effects on the gap in the weak coupling regime, it appreciably destabilizes the isoscalar, color-antitriplet phase in the strong coupling regime without affecting the color-flavor-locked phase.

show abstract

Section: Ginzburg-landau Region At High Densitiesmentioning

confidence: 99%

Section: General Ginzburg-landau Approachmentioning

confidence: 99%

Section: General Ginzburg-landau Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Superfluid phases of quark matter: Ginzburg-Landau theory and color neutrality

2001

View full text Add to dashboard Cite

show abstract

“…They involve resumming the hard thermal loops (HTL), typically via the CornwallTouboulis-Jackiw two-particle irreducible (2PI) effective action [63], in which the complete propagator is used as an infinite set of variational parameters [64,65]. This has been used in approximately self-consistent HTL resummation calculations of the entropy by Blaizot, Iancu and Rebhan (BIR) [66] and of the pressure by Peshier [67].…”

Section: Equation Of Statementioning

confidence: 99%