5-Dimensional Toy Model for Particle Confinement in Spatially-Warped Einstein Universe

Ciprian Dariescu
(Faculty of Physics, Al. I. Cuza University of Iasi, Romania)

Coauthor(s): Marina-Aura Dariescu


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The present paper deals with massless fermions evolving in a 5D spacetime, with S3 xR four-dimensional slices. After solving the Gordon and Dirac-type equations, we consider the direct interaction introduced by the Yukawa coupling and analyze the confinement mechanism of chiral fermions. It turns out that only the left modes are exhibiting the tendency of confinement. However, the behavior is clearly depending on the values of the quantum number m. In the cases corresponding to m=1 and m=-1, once the coupling constant is increasing, these left-handed modes become more and more dominant in the brane.