Scalar fields, bent branes, and RG flow

Abstract

This work deals with braneworld scenarios driven by real scalar fields with standard dynamics. We show how the first-order formalism which exists in the case of four dimensional Minkowski space-time can be extended to de Sitter or anti-de Sitter geometry in the presence of several real scalar fields. We illustrate the results with some examples, and we take advantage of our findings to investigate renormalization group flow. We have found symmetric brane solutions with four-dimensional anti-de Sitter geometry whose holographically dual field theory exhibits a weakly coupled regime at high energy.

22 pages, 7 figures

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Cited by in corpus (68)

• Braneworld Models of Scalar Fields with Generalized Dynamics
• Fermion Localization and Resonances on A de Sitter Thick Brane
• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• f(R)-Brane
• Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes
• Fermion Resonances on Multi-field Thick Branes
• Bulk Matters on Symmetric and Asymmetric de Sitter Thick Branes
• Braneworld solutions for F(R) models with non-constant curvature
• Localization of bulk matter fields, the hierarchy problem and corrections to Coulomb's law on a pure de Sitter thick braneworld
• Thick branes with a nonminimally coupled bulk-scalar field
• Fermion localization on asymmetric two-field thick branes
• Localization of Matters on Anti-de Sitter Thick Branes
• Bulk matter fields on two-field thick branes
• Effects of the variation of mass on fermion localization and resonances on thick branes
• A de Sitter tachyon thick braneworld
• First Order Formalism for Thick Branes in Modified Teleparallel Gravity
• Localization of five-dimensional Elko spinors with non-minimal coupling on thick branes
• First-order framework and domain-wall/brane-cosmology correspondence
• Scalar fields and defect structures: perturbative procedure for generalized models
• de Sitter Thick Brane Solution in Weyl Geometry
• Fermion Resonances on a Thick Brane with a Piecewise Warp Factor
• Kinklike structures in models of the Dirac-Born-Infeld type
• Localization of Bulk Matters on a Thick Anti-de Sitter Brane
• q-Form fields on p-branes
• Fermion localization mechanism with derivative geometrical coupling on branes
• Twinlike models for kinks and compactons in flat and warped spacetime
• Braneworld in $f(T)$ Gravity Theory with Noncanonical Scalar Matter Field
• On the many-field f(R) brane
• Bulk Matters on a GRS-Inspired Braneworld
• Generalized non-minimal couplings in Randall-Sundrum scenarios
• Orbit-based deformation procedure for two-field models
• Localization and quasilocalization of spin-$1/2$ fermion field on two-field thick braneworld
• Kinklike structures in scalar field theories: from one-field to two-field models
• Effects of temperature on thick branes and the fermion (quasi-)localization
• Deformed brane with finite extra dimension
• Multi-sine-Gordon Models
• Braneworld solutions from scalar field in bimetric theory
• Resonance spectrum of a bulk fermion on branes
• New localization mechanism and Hodge duality for $q-$form field
• Non-perturbative procedure for stable $K$-brane
• Construction of topological defect networks with complex scalar fields
• de Sitter versus anti-de Sitter in Horndeski-like gravity
• Kinks and branes in models with hyperbolic interactions
• Phase Structure and Compactness
• Mechanism to control the internal structure of thick brane
• Localization of $q-$form fields on $Ad{S}_{p+1}$ branes
• On domain walls in a Ginzburg-Landau non-linear S^2-sigma model
• Hybrid Bloch Brane
• 4D gravity on a BPS brane in 5D AdS-Minkowski space
• First order formalism for the holographic duals of defect CFTs
• Einstein Branes
• First-order formalism for the quintom model of dark energy
• Localization of scalar field on the brane-world by coupling with gravity
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• Massive $p$-form trapping as a $p$-form on a brane
• From sine-Gordon to vacuumless systems in flat and curved spacetimes
• 4D gravity on a non-BPS bent dilatonic brane
• Holographic Description of Heavy-Quark Potentials in an Inflationary Braneworld Scenario
• Domain walls in a non-linear ${\mathbb{S}}^2$-sigma model with homogeneous quartic polynomial potential
• Localization mechanism of $q-$form field on the brane-world by coupling with gravity
• Evolution of Fermion Resonance in Thick Brane
• Multi-scalar tachyon potential on non-BPS domain walls
• New Results For Cuscuton Multi-Field Brane
• Localization of five-dimensional Elko Spinors on dS/AdS Thick Branes
• Cuscuton-like contribution to dark energy evolution
• Brane structure from a scalar field in general covariant Horava-Lifshitz gravity
• Localization of $q$-form field on squared curvature gravity domain wall brane coupling with gravity and background scalar
• Flat and bent branes in Born-Infeld-like scalar field models