Gravity localization in sine-Gordon braneworlds

Abstract

In this work we study two types of five-dimensional braneworld models given by sine-Gordon potentials. In both scenarios, the thick brane is generated by a real scalar field coupled to gravity. We focus our investigation on the localization of graviton field and the behaviour of the massive spectrum. In particular, we analyse the localization of massive modes by means of a relative probability method in a Quantum Mechanics context. Initially, considering a scalar field sine-Gordon potential, we find a localized state to the graviton at zero mode. However, when we consider a double sine-Gordon potential, the brane structure is changed allowing the existence of massive resonant states. The new results show how the existence of an internal structure can aid in the emergence of massive resonant modes on the brane.Comment: Revtex style, 16 pages, 6 figures, improved text, published versio

Gravitational resonances on f(R)-brane

“…But unfortunately, the solution therein does not support any gravitational resonance. In thick brane models constructed in general relativity, gravitational resonances can be found in cases with either a single canonical background scalar field [35,36], or two canonical scalar fields (the Bloch brane [37]) [38,39], or a single noncanonical scalar field (also known as K-field [40,41,42]; see [43,44,45,46,47,48] for thick branes generated by K-fields) [49].…”

Multiresonance modes in sine–Gordon brane models

“…The DSG model provides a new behaviour about the nucleus of the brane. There is a flat region at the brane location and a splitting on the matter energy density, as described in the work [24]. …”

“…However, the important issue about the field trapping and the existence of quasilocalized massive modes for the other fields present in the Standard Model have not been properly addressed in the context approached by us in Ref. [24]. Thus, in this paper we propose to analyse the localization of the vector field on the brane model generated by the potentials SG and DSG.…”

Configurational entropy in brane-world models

“…In addition, an analytic solution of the sine-Gordon domain wall in a 4D global supersymmetric model was obtained [30], and the stability of a more general setup was studied likewise [31]. The localisation of fermions on the brane has been accomplished in the presence of kink-fermion couplings in the background of the sine-Gordon kink [21].…”

“…Recently, increasingly one has focussed on the study of thick brane scenarios based on gravity coupled to one or more scalars in higher-dimensional space-times [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Moreover, domain walls have been used in high-energy physics to generate thick branes in models wherein scalar fields can couple with gravity in warped spacetime.…”