Diquark interaction and gaps for color superconductivity

in dense QCD. We eliminate the quark-gluon coupling by the first order flow equation dVqg/dl = [[H0, Vqg], H0]. As a result, in the second order we generate the dynamical interaction between quarks dVdyn/dl = [[H0, Vqg ], Vqg]two−particles, and the quark self-energy dΣdyn/dl = [[H0, Vqg], Vqg ]one−particle in the channel of qqpair creation/annihilation. The resulting diquark interaction and self-energy include dynamical terms generated by flow equations, Vdyn(Λ → 0) and Σ(Λ), respectively, and the instantaneous terms in corresponding channels, i.e. Vqq = Vdyn + Vinst and Σqq = Σdyn(Λ) + Σinst(Λ) + CT (Λ). Here Λ is the UV cutoff connected to the flow parameter l as l = 1/Λ, and CT (Λ) are the second order counterterms. Having the effective interaction between quarks Vqq, we allow for diquark condensation, which can be parametrized as [1] ∆ αγ(p) = 3 ( 1 3 [ ∆8(p) + 1 8∆1(p) ]