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We derive a renormalization group formalism for the Randall-Sundrum scenario, where the renormalization scale is set by a floating compactification radius. While inspired by the AdS/CFT conjecture, our results are derived concretely within…

High Energy Physics - Theory · Physics 2009-09-15 Adam Lewandowski , Michael J. May , Raman Sundrum

We find renormalization group transformations for the compactified Randall-Sundrum scenario by integrating out an infinitesimal slice of ultraviolet degrees of freedom near the Planck brane. Under these transformations the coefficients of…

High Energy Physics - Theory · Physics 2009-11-10 Adam Lewandowski

We compute the 4D low energy effective gauge coupling at one-loop order in the compact Randall-Sundrum scenario with bulk gauge fields and charged matter, within controlled approximations. While such computations are subtle, they can be…

High Energy Physics - Phenomenology · Physics 2009-09-15 K. Agashe , A. Delgado , R. Sundrum

We derive an effective theory on the orbifold branes of the Randall-Sundrum 1 (RS1) braneworld scenario in the presence of a bulk brane. We concentrate on the regime where the three branes are close and consider a scenario where the bulk…

High Energy Physics - Theory · Physics 2009-11-11 Tetsuya Shiromizu , Shunsuke Fujii , Claudia de Rham , Hirotaka Yoshino

We study unification in the Randall-Sundrum scenario for solving the hierarchy problem, with gauge fields and fermions in the bulk. We calculate the one-loop corrected low-energy effective gauge couplings in a unified theory, broken at the…

High Energy Physics - Phenomenology · Physics 2009-09-15 Kaustubh Agashe , Antonio Delgado , Raman Sundrum

The renormalization group (RG) is used to study the asymptotically free $\phi_6^3$-theory in curved spacetime. Several forms of the RG equations for the effective potential are formulated. By solving these equations we obtain the one-loop…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , R. Kantowski , S. D. Odintsov

Low-energy effective theories provide the natural description of four-dimensional physics in higher-dimensional geometries, where the imprint of the bulk appears as parameters of the lower dimensional theory. Motivated by the recent…

High Energy Physics - Theory · Physics 2026-03-11 Soham Bhattacharyya , Soumitra SenGupta

We study radius stabilization in the Randall-Sundrum model without assuming any unnaturally large stabilizing scalar potential parameter at the boundary branes ($\gamma$) by the frequently used superpotential method. Employing a…

High Energy Physics - Theory · Physics 2024-11-27 Sudhakantha Girmohanta , Yuichiro Nakai , Motoo Suzuki , Yaoduo Wang , Junxuan Xu

The higher-dimensional generalization of Randall-Sundrum approach with additional positive curvature $n$-dimensional and Ricci-flat $m$-dimensional compuct subspaces is considered in pure gravity theory with metric of space-time and…

High Energy Physics - Theory · Physics 2007-05-23 Boris L. Altshuler

Multi-scale renormalization group (RG) methods are reviewed and applied to the analysis of the effective potential for radiative symmetry breaking with multiple scalar fields, allowing an extension of the Gildener & Weinberg (GW) method…

High Energy Physics - Phenomenology · Physics 2014-11-19 T. G. Steele , Zhi-Wei Wang , D. G. C. McKeon

We derive the effective Lagrangian of the physical four-dimensional fields in the Randall-Sundrum (RS) model, and use this to calculate the Newtonian gravitational potential between two point sources on the brane. The effect of the radion…

High Energy Physics - Phenomenology · Physics 2016-09-06 Petter Callin , Finn Ravndal

General relativity (GR) extensions based on renormalization group (RG) flows may lead to scale-dependent couplings with nontrivial effects at large distance scales. Here we develop further the approach in which RG effects at large distance…

General Relativity and Quantum Cosmology · Physics 2020-06-01 Nicolas R. Bertini , Wiliam S. Hipolito-Ricaldi , Felipe de Melo-Santos , Davi C. Rodrigues

We demonstrate the classical stability of the weak/Planck hierarchy within the Randall-Sundrum scenario, incorporating the Goldberger-Wise mechanism and higher-derivative interactions in a systematic perturbative expansion. Such…

High Energy Physics - Theory · Physics 2009-09-15 Adam Lewandowski , Raman Sundrum

In this paper we show, through the study of concrete examples, that, depending on the cosmic dynamics of the energy density of matter degrees of freedom living in the brane, Randall-Sundrum (RS) brane effects can be important not only at…

General Relativity and Quantum Cosmology · Physics 2011-08-19 Ricardo García-Salcedo , Tame Gonzalez , Claudia Moreno , Israel Quiros

A generalization from the usual $5$-dimensional two-brane Randall-Sundrum (RS) model to a $6$-dimensional multi-brane RS model is presented. The extra dimensions are extended from one to two; correspondingly the single-variable warp…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Sheng-Fei Feng , Chang-Yu Huang , Yong-Chang Huang , Xin Liu , Ying-Jie Zhao

We analyze the cosmology of the Randall-Sundrum model and that of compact brane models in general in the presence of a radius stabilization mechanism. We find that the expansion of our universe is generically in agreement with the expected…

High Energy Physics - Phenomenology · Physics 2009-09-15 Csaba Csaki , Michael Graesser , Lisa Randall , John Terning

Warped extra dimension claims remarkable success: solving the hierarchy problem; explaining hierarchies in particle phenomenology; yielding standard cosmology, plus interesting nonstandard scenarios. Yet it has marked shortcomings: we…

High Energy Physics - Theory · Physics 2008-11-26 Katherine Benson

For the 2-brane Randall-Sundrum model, we calculate the bulk geometry for strong gravity, in the low matter density regime, for slowly varying matter sources. This is relevant for astrophysical or cosmological applications. The warped…

High Energy Physics - Theory · Physics 2009-11-07 T. Wiseman

The Randall-Sundrum (RS) model, based on a slice of warped 5D spacetime, was originally introduced to explain the apparent hierarchy between the scales of weak and gravitational interactions. Over the past decade, this model has been…

High Energy Physics - Phenomenology · Physics 2014-11-20 Hooman Davoudiasl

We present an effective four-dimensional formulation of the laws of gravity that respects the main features of a higher (five)-dimensional scenario of Randall-Sundrum type. The geometrical structure of the theory is that of a…

General Relativity and Quantum Cosmology · Physics 2012-10-30 I. Quiros , R. Bonal , R. Cardenas
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