Article,
New analytical solutions for bosonic field trapping in thick branes
PHYSICS LETTERS B, (2014)
DOI: 10.1016/j.physletb.2014.02.004
Abstract
New analytical solutions for gravity, scalar and vector field
localization in Randall-Sundrum (RS) models are found. A smooth version of the warp factor with an associated function f(z) = exp(3A(z)/2)
inside the walls (vertical bar z vertical bar < d) is defined, leading
to an associated equation and physical constraints on the continuity and
smoothness of the background resulting in a new space of analytical
solutions. We solve this associated equation analytically for the
parabolic and Poschl-Teller potentials and analyze the spectrum of
resonances for these fields. By using the boundary conditions we are
able to show that, for any of these solutions, the density probability
for finding a massive mode in the membrane has a universal behavior for small values of mass given by vertical bar psi(m)(0)vertical bar(2) =
beta(1)m + beta(2)m(3) + beta(L)m(3) log(m) + .... As a consequence, the
form of the leading order correction, for example, to the Newton's law
is general and does not depend on the potential used. At the end we also
discuss why complications arise when we use the method to find
analytical solutions to the fermion case. (C) 2014 The Authors.
Published by Elsevier BAT. This is an open access article under the CC
BY license (http:creativecommons.org/licenses/by/3.0/).
