Effective action of a self-interacting scalar field on brane
arXiv:2210.15298 · doi:10.1140/epjc/s10052-023-11270-y
Abstract
In extra dimensional theories, the four-dimensional field theory is reduced from a fundamental field theory in the bulk spacetime by integrating the extra dimensional part. In this paper we investigate the effective action of a self-interacting scalar field on a brane in the five-dimensional thick braneworld scenario. We consider two typical thick brane solutions and obtain the Pöschl-Teller and harmonic potentials of the Kaluza-Klein (KK) modes, respectively. The analytical mass spectra and wave functions along extra dimension of the KK modes are obtained. Further, the effective coupling constant between different KK particles, cross section, and decay rate for some processes of the KK particles are related to the fundamental coupling in five dimensions and the new physics energy scale. Some interesting properties of these interactions are found with these calculations. The KK particles with higher mode have longer lifetime, and they almost do not interact with ordinary matter on the brane if their mode numbers are large enough. Thus, these KK particles with higher modes might be a candidate of dark matter.
10 pages, 6 figures
References in corpus (8)
- Fermion localization and resonances on two-field thick branes
- Fermion localization on thick branes
- Fermions on Thick Branes in the Background of Sine-Gordon Kinks
- Mass dimension one fermions: Constructing darkness
- Localization of gravity on a de Sitter thick braneworld without scalar fields
- A method for obtaining thick branes models
- Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of gravity
- Thick braneworld model in nonmetricity formulation of general relativity and its stability