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Scalar particles mass spectrum and localization on FRW branes embedded in a 5D de Sitter bulk

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Dariescu M.-A., Dariescu C.

Open Physics

2014

vol. 12

issue 7

453-459

In this paper, we study the scalar fields evolving on a FRW brane embedded in a five-dimensional de Sitter bulk. The scale function and the warp factor, solutions of the Einstein equations, are employed in the five-dimensional Gordon equation describing the massive scalar field, whose wave function depends on the cosmic time and on the extra-dimension. We point out the existence of bounded states and find a minimum value of the effective four-dimensional mass. For the test (scalar) field envelope along the extra-dimension, we derive the corresponding Schrödinger-like equation which is formally that for the Pöschl-Teller potential. Accordingly, we have obtained the quantization law for the mass parameter of the tested scalar field.

Natural brane-confinement from massive Z 2-spontaneously broken Kaluza-Klein excitations in the bulk

81%

Dariescu M., Dariescu C., Romero C.

Open Physics

2009

vol. 7

issue 4

690-695

For a real scalar field minimally coupled to bulk gravity, in five dimensions, we analytically solve the Gordon equation, near one of the degenerated vacua of an effective potential with a spontaneously broken Z 2-symmetry. Dealing with the back-reaction from the excited massive modes on the whole scale function, we are pointing out that the lighter excitations of the scalar in the bulk turn more and more the warp function into the one of a partition on the confined brane.

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2 Open Physics

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1 Romero C.

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Scalar particles mass spectrum and localization on FRW branes embedded in a 5D de Sitter bulk

Natural brane-confinement from massive Z 2-spontaneously broken Kaluza-Klein excitations in the bulk