![]() Hence, it would be promising to have an alternative method of evaluation of the string-breaking distance, based on the initial pair-creation process. Nevertheless, the physical mechanism of string screening remains unclear since there are neither free gluons nor free quarks in vacuum at T < T c. Within that model, the string breaking thus occurs at the Debye screening length, which decreases at T → T c. These results are well described by a phenomenological model of the Debye screening of the string, developed in Ref. The results of lattice measurements, presented, e.g., in Figure 8b of Ref. is expected to decrease at T → T c since the string at such temperatures experiences strong thermal fluctuations, which eventually – at T = T c – lead to the string breaking even without the creation of glueballs. would be increasing in full QCD as well.) On general grounds, however, R s. Therefore, with a decrease of the string tension at T → T c, R s. Recent studies suggest, however, that the masses of D-mesons stay almost constant at T → T c. (In full QCD, the counterparts of the one-gluon gluelump would be D-mesons, which are formed, e.g., by breaking the c c ¯-string. at T → T c (where T henceforth stands for temperature, and the critical exponent ν is rigorously defined only in the SU(2)-case, where the so-called Svetitsky–Yaffe conjecture suggests for it the 3D-Ising value ν ≃ 0.63 ): 2 ( T + R ).) Now, since M ∝ σ, we obtain the following critical behavior of R s.This equation stems from the comparison of exponentials in the expression for the adjoint Wilson loop, 〈 W ( C ) 〉 ∝ e − σ R T + 1 N c 2 e − M 2 ( T + R ) = 0, in the limit of T ≫ R of interest.follows just from the equation σ R T − M Here, M is the mass of the one-gluon gluelump, σ is the adjoint string tension, and T is the time of observation. ![]() Minimizing the difference of the actions of the initial and the final states as ∂ ∂ T σ R T − M There, the string breaking occurs through the creation of a glueball, which instantaneously-through a recombination process-leads to the formation of two imaginary bound states of a gluon in the field of a static adjoint source, called one-gluon gluelumps. Let us start with the pure Yang–Mills theory and consider there an adjoint string interconnecting two static adjoint sources separated from each other by a spatial distance R. ![]()
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