Gauge field localization on the Bloch brane

Abstract

We present new results on the localization of gauge fields in thick brane models. The fourdimensional observable universe is considered to be a topological defect which is generated by two scalar fields coupled with gravity embedded in a five-dimensional space-time. Like other thick brane models, the Bloch brane setup is not capable of supporting gauge field localization. In order to circumvent this problem we include the dilaton field and, as a result, obtain normalizable solutions. In addition, by writing the equations of motion as Schroedinger-like equations, we have found new kinds of resonances in the massive spectrum which appear also for heavy modes. This is in sharp contrast to what is commonly found in previous analog studies, where only light modes become resonant. At specific energies, the wave solutions exhibit very high amplitudes within the membrane. The influence of the dilaton coupling and of the internal structure on the resonant modes are also discussed.

Multiresonance modes in sine–Gordon brane models

“…The double sine-Gordon potential (DSG) provides twokink solutions that can be used to model thick branes [7,[45][46][47][48][49]. Previous works have showed that splitting branes with internal structure, generated by two-kink defects, can foment the presence of resonant states [13][14][15]. Based on these results we now propose to construct a brane model generated by a DSG potential with the presence of the dilaton field.…”

“…Thus, we need to investigate the effects of solution U (y) due to (13) to evaluate the existence of vector modes in the brane. The effective action (15) immediately tells us that the warp factor is absent and its exponential suppression effect no longer applies.…”

“…Such studies were initially aimed to explain how the internal structure of the defects involving kink solutions obtained from the potential φ 4 can interfere with localization of different fields on the brane [9][10][11][12]. As an example, we can cite the Bloch Brane models generated by one or more scalar fields [13][14][15], in which the localization of tensorial and spinorial fields and the search for resonant states were the subject of several works [14,[16][17][18].…”

Hybrid Bloch brane

“…3 offer explicit possibilities to implement the hybrid Bloch brane scenario, and the results open up new issues, such as the ones investigated before in the case of the Bloch brane, namely the study of degeneracy and criticality, fermion localization, gauge field localization, and graviton resonances [15][16][17][18][19][20][21][22][23]25,26]. We end our work in Sect.…”

“…[14] the authors suggested a brane scenario described by two real scalar fields coupled with gravity, the second field contributing to propitiate internal arrangement, implementing therefore the so-called Bloch brane model. This framework was then explored by several authors in different situations, such as in the study of criticality and degeneracy, fermion localization, gauge field localization, graviton resonances, and so forth [15][16][17][18][19][20][21][22][23][24][25][26].…”