Color superconductivity versus pseudoscalar condensation in a three-flavor Nambu–Jona-Lasinio model

Warringa, Harmen J.; Boer, Daniël; Andersen, Jens O.

doi:10.1103/physrevd.72.014015

Cited by 51 publications

(65 citation statements)

References 57 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…For the NJL model this has been studied extensively in Refs. [35,39,40,41]. This condition is independent of c. To see what happens in the θ = π case, we calculate the c-dependence of the meson masses, with µ I = 0.…”

Section: A the C-dependence Of The Meson Masses And Mixingmentioning

confidence: 99%

“…A Hubbard-Stratonovich transformation eliminates the four-point quark interactions, such that the Lagrangian becomes quadratic in the quark fields and the integration over these fields is straightforward to perform. One obtains the following expression for the thermal effective potential V in the mean-field approximation [35] …”

Section: Calculation Of the Ground-statementioning

confidence: 99%

“…In Ref. [35] the β 0 and β 3 condensates have been ignored based on the Vafa-Witten theorem. As we wish to check the validity of this theorem at finite temperature and density in our model calculation, we do take these condensates into account.…”

Section: Calculation Of the Ground-statementioning

confidence: 99%

See 2 more Smart Citations

SpontaneousCPviolation in the strong interaction atθ=π

Boer

Boomsma

2008

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

Spontaneous CP-violation in the strong interaction is analyzed at θ = π within the framework of the two-flavor NJL model. It is found that the occurrence of spontaneous CP-violation at θ = π depends on the strength of the 't Hooft determinant interaction, which describes the effect of instanton interactions. The dependence of the phase structure, and in particular of the CP-violating phase, on the quark masses, temperature, baryon and isospin chemical potential is examined in detail. When available a comparison to earlier results from chiral perturbation theory is made. From our results we conclude that spontaneous CP-violation in the strong interaction is an inherently lowenergy phenomenon. In all cases we find agreement with the Vafa-Witten theorem, also at nonzero density and temperature. Meson masses and mixing in the CP-violating phase display some unusual features as a function of instanton interaction strength. A modification of the condition for charged pion condensation at nonzero isospin chemical potential and a novel phase of charged a0 mesons are discussed.

show abstract

Section: A the C-dependence Of The Meson Masses And Mixingmentioning

confidence: 99%

Section: Calculation Of the Ground-statementioning

confidence: 99%

See 1 more Smart Citation

SpontaneousCPviolation in the strong interaction atθ=π

Boer

Boomsma

2008

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

“…When µ I exceeds the pion mass, homogeneous charged pion condensation sets in, which has been studied intensively within chiral perturbation theory [152] and effective models [153,154,155,156,157]. One main focus of these model calculations is the effect of a nonvanishing baryon chemical potential on the pion condensate, which is analogous to the effect of a nonvanishing isospin chemical potential on a color superconductor with reversed roles of µ and µ I : In the same way as µ I exerts stress on the u-d pairs in the latter, µ exerts stress on the u-d pairs in the former, eventually rendering the homogeneous pion-condensed phase unstable.…”

Section: Nonzero Isospin Chemical Potentialmentioning

confidence: 99%

Inhomogeneous chiral condensates

Buballa

Carignano

2015

Progress in Particle and Nuclear Physics

247

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

“…[19,20,21,22], and the competition between the pseudoscalar condensates and the two-flavor superconducting phase has also been examined [23], although this remains to be applied to the charge neutral equation of state.…”

Section: Introductionmentioning

confidence: 99%