Confining Potential in a Color Dielectric Medium With Parallel Domain Walls

Abstract

We study quark confinement in a system of two parallel domain walls interpolating different color dielectric media. We use the phenomenological approach in which the confinement of quarks appears considering the QCD vacuum as a color dielectric medium. We explore this phenomenon in QCD2, where the confinement of the color flux between the domain walls manifests, in a scenario where two 0-branes (representing external quark and antiquark) are connected by a QCD string. We obtain solutions of the equations of motion via first-order differential equations. We find a new color confining potential that increases monotonically with the distance between the domain walls.

Confinement and screening in tachyonic matter

“…where E = |E| = E r . Therefore, we observe that the dielectric function coupled to the electric field E changes its magnitude as a function of the radial position r. Let us consider a dielectric function G(φ) as a function of a dynamical field φ, according to the Lagrangian [13,14]…”

Confinement from new global defect structures

“…The effective Lagrangian L φ ef f is the key point of investigation of global defects. These global defect structures firstly found in [16] add to a list of other extended objects presenting similar confinement profile as for instance Dpbranes in string/M-theory [17], monopoles [13,18] and parallel domain walls [19] in standard field theory. And according to the Olive-Montonen conjecture [20], one may find models in which extended objects may present a dual role, changing their contents with ordinary particles in the dual model: the weak coupling phase gives rise to defect solutions, and duality connects this phase with the strong coupling phase, which exposes confinement of particles.…”

“…The distribution (20) is a good approximation of (19) as long as the radius R of the defect, where (20) to represent the charge density.…”

“…Investigations on this appear interesting because it could offer an alternative to Ref. [19], using a simpler model which requires a single real scalar field to generate 2-kink structures.…”

“…Notice that ρ(r) falls-off to zero as r goes to infinity. The leading term of ρ(r) given in (19) for very large r (or very large p) is (1/r p) 2p−2 or 1/(4r) 6 for p = 4. This ensures that the fermion solution (12), with the minus sign in the exponential, is normalizable and localized on the defect (18).…”