Contributions of the center vortices and vacuum domain in potentials between static sources

Abstract

In this paper, we study the role of the domain structure of the Yang Mills vacuum. The Casimir scaling and N-ality are investigated in the potentials between static sources in various representations for SU(2) and SU(3) gauge groups based on the domain structure model using square ansatz for angle α C (x). We also discuss about the contributions of the vacuum domain and center vortices in the static potentials. As a result, the potentials obtained from vacuum domains agree with Casimir scaling better than the ones obtained from center vortices. The reasons of these observations are investigated by studying the behavior of the potentials obtained from vacuum domains and center vortices and the properties of the group factors. Then, the vacuum domains in SU(N) and G(2) gauge groups are compared and we argue that the G(2) vacuum is filled with center vortices of its subgroups.

Confining bond rearrangement in the random center vortex model

“…[7][8][9][10][11][12][13][14][15], within the infrared effective model of center vortices under investigation here [16][17][18][19][20][21][22][23][24] and another infrared model of random vortex lines in continuous 3D space-time [25,26] and also by theoretical effective model calculations, e.g. [27][28][29][30]. The physical motivation for the vortex picture can be seen from the Wilson loop criterion of confinement, i.e., the expectation value of the Wilson loop has to follow an area law in the confined phase.…”

Confinement inF4Exceptional Gauge Group Using Domain Structures

“…Using the thick center vortex model with the idea of vacuum domain structures, Deldar et al have found the potential between static color sources in the G 2 gauge group [5], [6], [7]. Their results are compatible with numerical Lattice calculations for the G 2 gauge group [8], [9], [10], [11].…”

“…By adopting the same approach used in Refs. [6], [7] and utilizing Eq. (12), we can reconstruct the Cartan generator H of F 4 for the fundamental 26-dimensional representation: [6]:…”