Lattice study of static quark-antiquark interactions in dense quark matter

Abstract

In this paper we study the interactions among a static quark-antiquark pair in the presence of dense two-color quark matter with lattice simulation. To this end we compute Polyakov line correlation functions and determine the renormalized color averaged, color singlet and color triplet grand potentials. The color singlet grand potential allows us to elucidate the number of quarks induced by a static quark antiquark source, as well as the internal energy of such a pair in dense quark matter. We furthermore determine the screening length, which in the confinement phase is synonymous with the string breaking distance. The screening length is a decreasing function of baryon density, due to the possibility to break the interquark string via a scalar diquark condensate at high density. We also study the large distance properties of the color singlet grand potential in a dense medium and find that it is well described by a simple Debye screening formula, parameterized by a Debye mass and an effective coupling constant. The latter is of order of unity, i.e. even at large density two-color quark matter is a strongly correlated system.

Gluon Propagators in QC2D at High Baryon Density

“…We found a good agreement between the two definitions of the chromoelectric screening mass at least at µ q > 0.3 GeV. m E increases substantially with µ q and can be fitted by the function (17).…”

“…at µ q > µ b q . Fit over the range µ q > 0.65 GeV gives α 0 = 0.831 (17) GeV and α 0 = 0.468(18) with χ 2 /N d.o.f. = 0.19.…”

Lattice study of thermodynamic properties of dense QC2D

“…The phase structure of dense two-color QCD and its properties were studied in our previous papers [36][37][38][39], where lattice simulations were carried out at a relatively small lattice spacing a ¼ 0.044 fm. In this paper we also employ this spacing.…”

Continuum Goldstone spectrum of two-color QCD at finite density with staggered quarks

“…Beside this technical aspect, QCD-like theories are interesting in their own right. On the lattice, QC 2 D has been studied with staggered [1,[4][5][6][7][8][9][10][11][12] and Wilson fermions [13][14][15][16][17][18]. In contrast to QCD, the color-singlet baryons are diquarks and hence bosonic in two-color QCD, for example, while fermionic baryons do not exist in its spectrum.…”