Y-stringlike behavior of a static baryon at finite temperature

Abstract

We look into the signatures of the effective Y-bosonic strings in the gluonic profile due to a system of three static quarks on the lattice. The gluonic distribution is calculated in pure YangMills lattice gauge theory at finite temperature with Polyakov loops operators. The analysis of the action density unveils a filled-∆ distribution. However, we found that these ∆-shaped action density profiles are structured from three Y-shaped Gaussian-like flux-tubes. The length of the revealed Yflux system increases with the increasing of the color source separation and reaches maximum near the deconfinement point. The lattice data for the mean-square width of the gluonic action density have been compared to the corresponding width calculated based on the string model at finite temperature. We assume Y-string configuration with minimal length. The growth pattern of the action density of the gluonic field fits well to junction fluctuations of the Y-baryonic string model for large quark separation at the considered temperatures.

Mesonic string of diquark-quark configuration at finite temperature

“…We find that the string tension of the diquark-quark to be the same as the mesonic string [3]. These results are compatible with the recent findings obtained employing the three Polyakov loop analysis at T=0 [4] (This instance elaborate on the close analogy between the analysis at end of QCD plateau [2,3] and that at T=0) and that using the Wilson loop overlap formalism [5].…”

“…The off-plane and in-plane width of the Q(QQ) system exhibit cylindrical symmetry; even so, the string profile is apparently not identical to the QQ system. The coincidence with the mesonic string does not manifest neither at small nor intermediate separation regions indicating that the string is energetic enough to induce splitting towards a baryonic-like structure [2,3]. This is consistent with a significant change in the numerical values of the Polyakov correlators of (QQ)Q system for R < 1 fm with the increase of the temperature as depicted in Fig.…”

“…[2]). We find that the string tension of the diquark-quark to be the same as the mesonic string [3].…”

“…It would be interesting to reiterate these calculations [1,2,3] with the employment of finer lattices at lower or higher temperatures or by considering dynamical quarks. One would question also the persistence of meson-baryon symmetries in the presence of strong magnetic fields.…”

Flux tubes in the QCD vacuum

“…In several other recent works [23,[55][56][57][58][59][60] also the detailed profile of the color field distribution near static sources has been analyzed.…”