Gauge fields in a string-cigar braneworld

Abstract

In this work we investigate the properties of an Abelian gauge vector field in a thin and in a smoothed string-like braneworld, the so-called string-cigar model. This thick brane scenario satisfies the regularity conditions and it can be regarded as an interior and exterior string-like solution. The source undergoes a geometric Ricci flow which is connected to a variation of the bulk cosmological constant. The Ricci flow changes the width and amplitude of the massless mode at the brane core and recover the usual thin string-like behavior at large distances. By numerical means we obtain the Kaluza-Klein (KK) spectrum for both the thin brane and the string-cigar. It turns out that both models exhibit a mass gap between the massless and the massive modes and between the high and the low mass regimes. The KK modes are smooth near the brane and their amplitude are enhanced by the string-cigar core. The analogue Schr\"odinger potential is also tuned by the geometric flow.Comment: The discussion about the Kaluza-Klein spectrum of the gauge field was improved. Numerical analysis was adapted to the conventional notation on Kaluza-Klein number. Some graphics were modified for considering other notation. Results unchanged. References added. Corrected typos. 17 pages. 6 figures. To match version to appears in Physics Letters

Resonance spectrum of a bulk fermion on branes

“…Usually, a thick brane can be generated by scalar fields [26][27][28][29][30] or vector fields [31]. Localization and resonances * zhangyupeng14@lzu.edu.cn † duyzh13@lzu.edu.cn ‡ guowd14@lzu.edu.cn § liuyx@lzu.edu.cn, corresponding author of various bulk matter fields on a brane have been investigated in five-dimensional models [1,22,26, and six-dimensional ones [55][56][57][58][59][60].…”

Consistency conditions for p-form field localization on codimension two braneworlds

“…Therefore this solution must be discarded for the vector field. Therefore, for this model, the vector field is confined only with the constant solution ξ 0,(1) (r ) = c 1 [38]. This is important since, when we generalize the above results to p-forms, the non-constant solution will be used to localize some effective fields.…”

“…Among them, the U (1) vector field (1-form) and the Kalb-Ramond field (2-form) has an important status. The study of the confinement of these two fields and another p-form was already widely performed in the literature [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49]. There are other related issues, such as that p-form fields have been used to provide the stabilization of the radius in RS-I model [50]; or, that one introduced torsion in RS-I scenarios [51]; or still, one addressed generation of inflation or gravitational waves [52,53]; among other issues [54][55][56].…”

Introduction to Extra Dimensions and Thick Braneworlds

“…These massive KK modes give us the possibility of probing extra dimensions through their interactions with particles in the Standard Model [142][143][144][145][146][147][148]. Localization and resonances of various bulk matter fields on a brane have been investigated in five-dimensional brane models [17,46,55,84,138,139, and six-dimensional ones [151,[190][191][192][193][194][195][196]. In this section we will review some works about localization of bulk matters on thick branes with the following metric…”