Abstract
The potential due to a system of three static quark (3Q) is studied using SU(3) lattice QCD at finite temperature with Polyakov loops operators. We focused our analysis on the large distance properties of the 3Q potential and found a good fit behavior to the Y-string model formula. In addition to the linearly confining term proportional to the minimal length of the Y-string, we observed that the subleading logarithmic term, which is proportional to Dedekind eta function and accounts for the Y-string's quantum fluctuations, is necessary to reproduce the quark anti-quark string tension of the corresponding mesonic system at finite temperature.
Highlights
The three-quark confining potential is a fundamental quantity in elementary particle physics and is essential for understanding baryon structure [1]
For the study of the 3Q potential V3Q, we are interested in the large-distance behavior which is directly related to the properties of the confining force rather than the short-distance behavior [9] that is well described by the two-body Coulomb-type potential
The static 3Q potential has been studied in lattice QCD at finite temperature using Polyakov loops as a quark source operator
Summary
The three-quark confining potential is a fundamental quantity in elementary particle physics and is essential for understanding baryon structure [1]. Unlike the simpler QQcase, the sub-leading corrections arising from the quantum fluctuations of the Y-string linking the 3Q quark system yet has not been verified in SU(3) gauge theory These stringy fluctuations are expected to be more enhanced at temperatures very close to the deconfinement point. We discuss the 3Q potential derived from the Y-string model and investigate concisely how it compares to the corresponding lattice data of the SU(3) pure Yang-Mills theory at finite temperature. This may delineate the fine properties of the energy density and potential of the 3Q system even at low and zero temperatures.
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