Thick branes from self-gravitating scalar fields

Abstract

Abstract. The formation of a domain wall ("thick brane") induced by scalar matter dynamics and triggered by a thin brane defect is considered in noncompact five-dimensional space-time with warped AdS type geometry. The scalar matter is composed of two fields with softly broken O(2) symmetry and minimal coupling to gravity. The nonperturbative effects in the invariant mass spectrum of light localized scalar states are investigated for different values of the tension of the thin brane defect. Especially interesting is the case of the thin brane with negative tension when the singular barriers form a potential well with two infinitely tall walls and the discrete spectrum of localized states arises completely isolated from the bulk.

Multi-kink brane in Gauss-Bonnet gravity

“…The result is given by Eqs. ( 17), (19), and (20). We proved that this novel method works well for solving thick brane solutions with various superpotentials.…”

“…By specifying the suitable superpotential, one can obtain the thick brane solution from Eqs. ( 17), (19), and (20). The distribution of the thick brane can be described by the effective energy density along the extra dimension with respect to the static observer u A = (e A , 0, 0, 0, 0):…”

“…For the first superpotential (27), we obtain the scalar potential from (17), the function y(φ) from (19), and the warp factor from (20):…”

“…(33) Substituting the superpotential (28) into Eqs. (19), (20), and (23), the function y(φ), the warp factor A(y), and the energy density ρ(y) can be obtained. We also need to restrict the parameters α, a, and b with Eq.…”

“…One way to obtain such nonsingular thick brane might be simply replacing the singular source term in the thin brane scenarios with a nonsingular source term. A usual source term is that of one or more scalar fields [14][15][16][17][18][19][20][21][22]. There were some models based on the nonminimal coupling between gravity and the scalar field [23][24][25][26][27].…”