Field localization and mass generation in an alternative 5-dimensional brane model (original) (raw)
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Physical Review D, 2013
We consider a five-dimensional brane world model with a single brane which is distinct from the well known Randall-Sundrum model. We discuss the similarities and differences between our brane model and the Randall-Sundrum brane model. In particular we focus on the localization of five-dimensional fields with different spins-spin 0, spin 1=2, and spin 1-to the brane, and a self-consistent massgeneration mechanism. We find that the brane model studied here has different (and in some cases superior) localization properties for fields/particles with different spins to the brane, as compared to the original five-dimensional brane models. In addition this alternative five-dimensional brane model exhibits a self-generation mechanism which recalls the self-consistent approach of Nambu and Jona-Lasinio.
Multi-Localization in Multi-Brane Worlds
This Thesis presents a study of higher dimensional brane-world models with nonfactorizable geometry. In the picture of brane-world, Standard Model fields are assumed to be localized or confined on a lower dimensional topological defect (brane) in the higher dimensional space (bulk). When the space is curved, due to the presence of an energy density distribution, the non-trivial geometry can induce localization of gravity across the extra dimension. This implies that, in particular constructions, gravity can be localized on the brane. The localization of gravity leads to the realization that, if extra dimensions exists, they need not be compact. It is shown that in the context of multi-brane world constructions with localized gravity the phenomenon of multi-localization is possible. When the latter scenario is realized, the KK spectrum contains special ultralight and localized KK state(s). Existence of such states give the possibility that gravitational interactions as we realize them are the net effect of the massless graviton and the special KK state(s).
Multi-scale physics from multi-braneworlds
Arxiv preprint hep-th/0503065, 2005
This Thesis presents a study of higher dimensional brane-world models with nonfactorizable geometry. In the picture of brane-world, Standard Model fields are assumed to be localized or confined on a lower dimensional topological defect (brane) in the higher dimensional space (bulk). When the space is curved, due to the presence of an energy density distribution, the non-trivial geometry can induce localization of gravity across the extra dimension. This implies that, in particular constructions, gravity can be localized on the brane. The localization of gravity leads to the realization that, if extra dimensions exists, they need not be compact. It is shown that in the context of multi-brane world constructions with localized gravity the phenomenon of multi-localization is possible. When the latter scenario is realized, the KK spectrum contains special ultralight and localized KK state(s). Existence of such states give the possibility that gravitational interactions as we realize them are the net effect of the massless graviton and the special KK state(s).
Standard Model Review and a New 5D Multi-Brane Proposition
Journal of high energy physics, gravitation and cosmology, 2022
Based on a comprehensive review of mainly the non-quantum aspects of the standard model of cosmology, the 5 dimensional models, and the analysis here, we propose a 5 dimensional model with expanding 4D multi-branes. A review of the standard model in the context of many new developments and discoveries in cosmology in the recent times, such as the accelerated expansion of the universe, Plank cosmic microwave measurements, dark energy survey, Hubble tension etc. tends to indicate that the standard model is essentially a patchwork of different theoretical models that have been pieced together in an attempt to explain different aspects of the astrophysical observations, which do not necessarily emanate from a full end-to-end understanding of a physical process. The purpose of each individual theoretical piece such as "inflation" is limited to providing an explanation to the problem area or a gap in our understanding. A number of new theories such as the fivedimensional universe, the bulk and brane, extended theories of gravity, and conformal cyclic cosmology offer alternate ways of addressing the existential aspects of the universe but these models too remain hypothetical with shortcomings and a lack of conclusive evidence. The model proposed by us, presents a way forward in addressing dark matter and dark energy as manifestations of the multiple underlying branes in the aftermath of the big-bang. In the process, we present a theorem of the dimensionality of the expanding universe, which necessitates the need for at least one more dimension in addition to the 4 dimensions of spacetime. While carrying out the review of the standard model, we present new analysis and facts that strengthen the case for the 5 th dimension. According to the multi-brane hypothesis presented here, our observed universe could be one of the many branes, and it is more likely than not that in the aftermath of the big-bang that generated our brane, more branes were generated, which further points towards a much more prolonged big-bang event than what has been the perception so far.
Localization of scalar fields on self-gravitating thick branes
Physics of Particles and Nuclei, 2013
The model of a domain wall ("thick" brane) in noncompact five-dimensional spacetime is considered with geometries of AdS 5 type generated by self-interacting scalar matter. The scalar matter is composed of two fields with O(2) symmetric self interaction. One of them is mixed with gravity scalar modes and plays role of the brane formation mode (due to a kink background) and another one is of a Higgs-field type. The interplay between soft breaking of O(2) symmetry and gravity influence is thoroughly investigated around the critical point of spontaneous τ symmetry breaking when the v.e.v. of the Higgs-type scalar field occurs. The possibility of (quasi)localization of scalar modes on such thick branes is examined.
Creation of a brane world with a bulk scalar field
Journal of Cosmology and Astroparticle Physics, 2006
We investigate the creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field: V (φ) ∝ exp(−2βφ), where β is the parameter of the theory. This model is based on a supersymmetric theory, and includes the Randall-Sundrum model (β = 0) and the 5-dimensional effective model of the Hoȓva-Witten theory (β = 1). We show that for this potential a brane instanton is constructed only when the curvature of a brane vanishes, that is, the brane is flat. We construct an instanton with two branes and a singular instanton with a single brane. The Euclidean action of the singular instanton solution is finite if β 2 > 2/3. We also calculate perturbations of the action around a singular instanton solution in order to show that the singular instanton is well-defined.
Two-Brane Randall-Sundrum Model in AdS 5 and dS 5
General Relativity and Gravitation, 2000
Two flat Randall -Sundrum three-branes are analyzed, at fixed mutual distance, in the case where each brane contains an ideal isotropic fluid. Both fluids are to begin with assumed to obey the equation of state p = (γ − 1)ρ, where γ is a constant. Thereafter, we impose the condition that there is zero energy flux from the branes into the bulk, and assume that the tension on either brane is zero. It then follows that constant values of the fluid energies at the branes are obtained only if the value of γ is equal to zero (i.e., a 'vacuum' fluid). The fluids on the branes are related: if one brane is a dS4 brane (the effective four-dimensional constant being positive), then the other brane is dS4 also, and if the fluid energy density on one brane is positive, the energy density on the other brane is larger in magnitude but negative. This is a non-acceptable result, which sheds some light on how far it is possible to give a physical interpretation of the two-brane scenario. Also, we discuss the graviton localization problem in the two-brane setting, generalizing prior works.
Localization of fields on a brane in six dimensions
Europhysics Letters (EPL), 2003
Universe is considered as a brane in infinite (2+4)-space. It is shown that zero modes of all kinds of matter fields and 4-gravity are localized on the brane by increasing transversal gravitational potential.