Equivalence between Born-Infeld tachyon and effective real scalar field theories for brane structures in warped geometry

Abstract

An equivalence between Born-Infeld and effective real scalar field theories for brane structures is built in some specific warped space-time scenarios. Once the equations of motion for tachyon fields related to the Born-Infeld action are written as first-order equations, a simple analytical connection with a particular class of real scalar field superpotentials can be found. This equivalence leads to the conclusion that, for a certain class of superpotentials, both systems can support identical thick brane solutions as well as brane structures described through localized energy densities, $T_{00}(y)$, in the $5^{th}$ dimension, $y$. Our results indicate that thick brane solutions realized by the Born-Infeld cosmology can be connected to real scalar field brane scenarios which can be used to effectively map the tachyon condensation mechanism.

15 pages, 3 figures

References in corpus (9)

• First-order formalism for bent brane
• First-order framework and domain-wall/brane-cosmology correspondence
• Brane modeling in warped extra-dimension
• Localization of fermionic fields on braneworlds with bulk tachyon matter
• Lorentz Symmetry Derived from Lorentz Violation in the Bulk
• de Sitter branes with a bulk scalar
• Cyclically deformed defects and topological mass constraints
• Spontaneous Symmetry Breaking in the Bulk as a Localization Mechanism of Fields on the Brane
• The Hamiltonian formalism for scalar fields coupled to gravity in a cosmological background

Cited by in corpus (15)

• Cuscuton kinks and branes
• $K$-field kinks: stability, exact solutions and new features
• Spherically Symmetric Thick Branes Cosmological Evolution
• Twinlike Models for Kinks, Vortices and Monopoles
• Matter localization on brane-worlds generated by deformed defects
• DBI Galileon inflation in the light of Planck 2015
• Stability of a tachyon braneworld
• Braneworld scenarios from deformed defect chains
• Perturbatively deformed defects in Pöschl-Teller-driven scenarios for quantum mechanics
• Phase-space quantum profile of Pöschl-Teller two-level systems
• Charge varying sine-Gordon deformed defects
• Topological origin of quantum mechanical vacuum transitions and tunneling
• Five-dimensional warped product space-time with time-dependent warping and a scalar field in the bulk
• On dark sector scalar field theories driven by cosmological $c$-fields
• Topological view of quantum tunneling coherent destruction