Baryons From the Lattice: Past, Present and Future

Abstract

I review recent lattice results on the spectrum and structure of baryons. Limitations due to the quenched approximation and un-physically heavy up and down quarks are discussed, and interfaces between first principles studies of QCD (or approximations to it) and "model building" are highlighted.

Strings in Baryons and Matrix Coordinates

“…Also both proposals are almost equally suitable for phenomenological purposes. One may state that by the present results the potential approaches the ∆-ansatz at short distances, but rises like the Y-ansatz at large distances [12,11], and hence the ∆ model is more appropriate inside a hadron [12,11]. The deviations from the Y-ansatz in small separations is interpreted in [10] by the depletion of the electric field at and around the Steiner point (see Figs.…”

“…Besides, the stringy shape of electric fluxes has been revealed also by this method [10]. Due to geometrical reasonings [11], the disagreement between ∆-and Y-ansatzes is at most about %15, which is still small to provide a final conclusion for lattice based calculations. Also both proposals are almost equally suitable for phenomenological purposes.…”

Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow

“…2a may be of relevance for excited dynamical baryons). ∆ vs. Y baryons in lattice QCD, also including light dynamical quarks, are discussed in [47]. 10 In historical order, see [1,2] and the instanton calculation of [3,4] (completed recently in [8,61]).…”