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Zahra Asmaee

Publications and source records attributed to Zahra Asmaee.

3 recordsLinked to original sources

SU($2$) string tension in the continuum limit using an effective theory of center vortices

Using an effective theory for an ensemble of center vortices, we observe the area law fall-off in the continuum limit for the SU($2$) gauge group in three-dimensional Euclidean space-time. The string tension is obtained in terms of the intrinsic properties of the vortices and a parameter which describes their interactions. In addition, fitting our analytical results on lattice data, we show that the repulsive force between the vortices increases with temperature. This behavior is expected due to the reduction of vortex configuration at higher temperatures, required for the deconfinement regime.

hep-ph

Introducing vortices in the continuum using direct and indirect methods

Inspired by direct and indirect maximal center gauge methods which confirm the existence of vortices in lattice calculations and by using the connection formalism, we show that under some appropriate gauge transformations vortices and chains appear in the QCD vacuum of the continuum limit. In the direct method, by applying center gauge transformation and \textquotedblleft center projection,\textquotedblright QCD is reduced to a gauge theory including vortices, which corresponds to the non-trivial first homotopy group $Π_1\left( \text{SO}(3)\right) =Z_2.$ On the other hand, using the indirect method, in addition to the center gauge transformation and \textquotedblleft center projection,\textquotedblright an initial step called Abelian gauge transformation and then Abelian projection are applied. Therefore, instead of single vortices, chains that contain monopoles and vortices appear in the theory.

hep-lat