Composite particles and bubbles in Weyl space

Physics

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Fundamental Problems And General Formalism

Scientific paper

A composite particle model that exhibits a number of features of a generic hadronic bag model is derived from a conformally invariant theory in Weyl space. The Gauss-Mainardi-Codazzi formalism facilitates the description of the interior and exterior vacuum phases. Boundary conditions between the two regions are chosen such that the same complex scalar field that is responsible for a dynamical wave equation in the exterior space also provides the surface tension of the bubble. The conformal invariance is broken in the interior space where fluctuations in the scalar field possess a bound-state energy spectrum. Reality conditions dictate that the interior space be anti-de Sitter. Finally, it is pointed out that the bubble may experience collective excitations.

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