From soft walls to infrared branes
Abstract
Five-dimensional warped spaces with soft walls are generalizations of the standard Randall-Sundrum compactifications, where instead of an infrared brane one has a curvature singularity (with vanishing warp factor) at finite proper distance in the bulk. We project the physics near the singularity onto a hypersurface located a small distance away from it in the bulk. This results in a completely equivalent description of the soft wall in terms of an effective infrared brane, hiding any singular point. We perform explicitly this calculation for two classes of soft wall backgrounds used in the literature. The procedure has several advantages. It separates in a clean way the physics of the soft wall from the physics of the five-dimensional bulk, facilitating a more direct comparison with standard two-brane warped compactifications. Moreover, consistent soft walls show a sort of universal behavior near the singularity which is reflected in the effective brane Lagrangian. Thirdly, for many purposes, a good approximation is obtained by assuming the bulk background away from the singularity to be the usual Randall-Sundrum metric, thus making the soft wall backgrounds better analytically tractable. We check the validity of this procedure by calculating the spectrum of bulk fields and comparing it to themore »
- Authors:
-
- Centre de Physique Theorique, Ecole Polytechnique and CNRS, F-91128 Palaiseau (France)
- Publication Date:
- OSTI Identifier:
- 21432443
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. D, Particles Fields
- Additional Journal Information:
- Journal Volume: 82; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.82.086010; (c) 2010 American Institute of Physics; Journal ID: ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; BRANES; COMPACTIFICATION; COMPARATIVE EVALUATIONS; LAGRANGIAN FUNCTION; MANY-DIMENSIONAL CALCULATIONS; METRICS; SINGULARITY; SPACE; SPECTRA; CALCULATION METHODS; EVALUATION; FUNCTIONS
Citation Formats
Gersdorff, Gero von. From soft walls to infrared branes. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVD.82.086010.
Gersdorff, Gero von. From soft walls to infrared branes. United States. https://doi.org/10.1103/PHYSREVD.82.086010
Gersdorff, Gero von. 2010.
"From soft walls to infrared branes". United States. https://doi.org/10.1103/PHYSREVD.82.086010.
@article{osti_21432443,
title = {From soft walls to infrared branes},
author = {Gersdorff, Gero von},
abstractNote = {Five-dimensional warped spaces with soft walls are generalizations of the standard Randall-Sundrum compactifications, where instead of an infrared brane one has a curvature singularity (with vanishing warp factor) at finite proper distance in the bulk. We project the physics near the singularity onto a hypersurface located a small distance away from it in the bulk. This results in a completely equivalent description of the soft wall in terms of an effective infrared brane, hiding any singular point. We perform explicitly this calculation for two classes of soft wall backgrounds used in the literature. The procedure has several advantages. It separates in a clean way the physics of the soft wall from the physics of the five-dimensional bulk, facilitating a more direct comparison with standard two-brane warped compactifications. Moreover, consistent soft walls show a sort of universal behavior near the singularity which is reflected in the effective brane Lagrangian. Thirdly, for many purposes, a good approximation is obtained by assuming the bulk background away from the singularity to be the usual Randall-Sundrum metric, thus making the soft wall backgrounds better analytically tractable. We check the validity of this procedure by calculating the spectrum of bulk fields and comparing it to the exact result, finding very good agreement.},
doi = {10.1103/PHYSREVD.82.086010},
url = {https://www.osti.gov/biblio/21432443},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 82,
place = {United States},
year = {Fri Oct 15 00:00:00 EDT 2010},
month = {Fri Oct 15 00:00:00 EDT 2010}
}