Theoretical prediction of cosmological constant Λ in Veneziano ghost theory of QCD

Abstract

Based on the Veneziano ghost theory of QCD, we predict the cosmological constant Λ, which is related to energy density of cosmological vacuum by \Lambda =\frac{8\mathrm{\pi }G}{3}\rho \Lambda. In the Veneziano ghost theory, the vacuum energy density ρΛ is expressed by absolute value of the product of quark vacuum condensate and quark current mass: \rho \Lambda =\frac{2N_{f}H}{m_{\eta \text{'}}}c\left|m_q\langle 0\left|\begin{array}{ccc}:& \overline{q}q& :\end{array}\right|0\rangle \right|. We calculate the quark local vacuum condensates \langle 0\left|\begin{array}{ccc}:& \overline{q}q& :\end{array}\right|0\rangle by solving Dyson–Schwinger Equations for a fully dressed confining quark propagator Sf(p) with an effective gluon propagator G_{\mu \nu }^{ab}\left(q\right). The quark current mass mq is predicted by use of chiral perturbation theory. Our theoretical result of Λ, with the resulting \langle 0\left|\begin{array}{ccc}:& \overline{q}q& :\end{array}\right|0\rangle =-{\left(235\mathrm{MeV}\right)}^3 and light quark current mass mq m_q\simeq 3.29-6.15\mathrm{M}\mathbf{e}\mathbf{V} is in a good agreement with the observable of the \Lambda \approx {10}^{-52}{m}^{-2} used widely in a great amount of literatures.

Keywords

cosmological constant Λ / Veneziano ghost theory of QCD / local quark vacuum condensate / quantum chromodynamics (QCD)

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