Journal of Physical Studies 11(4), 390–395 (2007) DOI: https://doi.org/10.30970/jps.11.390 THE EFFECT OF LATTICE-QCD-BASED GLUON PROPAGATOR ON COHERENCE LENGTH OF QUARK COOPER PAIRS IN TWO-FLAVOR COLOR SUPERCONDUCTOR Hiyoshi Kiuchi Department of Nutritional Sciences, Junshin Junior College, 1–1–1 Chikushigaoka, Minami-Ku, Fukuoka City, 815–8510, Japan} \addressu{ Вiддiл харчових наук, Коледж Джуншiн, 1-1-1 Чiкушiґаока, Мiнамi-ку, Фукуока, 8158510, Японiя

The coherence length $(ξ)$ of quark Cooper pairs for two flavors is studied numerically within the framework of a modified QCD-like gauge field theory with the lattice-QCD-based gluon propagator, which is derived from the lattice QCD data. The propagator is considered to include all the nonperturbative effects in the quenched QCD. We find that the coherence length in our model $ξ({\rm A})$ is smaller than that in the QCD-like theory with the tree-level gluon propagator $ξ({\rm B})$. We find that $ξ({\rm A})/d<1$ at $μ<0.65$ GeV, while $ξ({\rm B})/d<1$ at $μ<0.45$ GeV ($d$: interquark distance, $μ$: quark chemical potential). Accordingly, Cooper pair in our model is rather bosonic in low to moderate $μ$ region where two-flavor color superconducting phase is possibly realized.

PACS number(s): 12.38.-t, 12.38.Mh, 12.39.-x

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