Speaker
Description
We present a systematic study of baryonic flux tubes in $\mathrm{SU}(3)$ Yang--Mills theory in $(2\!+\!1)$ dimensions. A recent next-to-leading–order derivation within the Effective String Theory framework has, for the first time, made explicit the corrections proportional to the baryon--junction mass $M$, up to order $1/R^2$ (where $R$ is the length of the confining strings), opening the possibility of its non-perturbative determination. One of the main goals of this paper is, through high-precision simulations of the three-point Polyakov-loop correlator, to measure for the first time the baryon–junction mass. By isolating the predicted $1/R^{2}$ term in the open-string channel, we obtain the value $\frac{M}{\sqrt{\sigma}} = 0.1355(36)
$, similar to the phenomenological value which is used
to describe a hadron. In addition, studying the high temperature behaviour of the baryon, we present a new test of the Svetitsky--Yaffe conjecture for the $\mathrm{SU}(3)$ theory in three dimensions. Focusing on the high-temperature regime just below the deconfinement transition, we compare our lattice results for Polyakov-loop correlators with the quantitative predictions obtained by applying conformal perturbation theory to the three-state Potts model in two dimensions, and find excellent agreement.
| Parallel Session (for talks only) | Vacuum structure and confinement |
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