3,132 research outputs found
Spinors Fields in Co-dimension One Braneworlds
In this work we analyze the zero mode localization and resonances of
spin fermions in co-dimension one Randall-Sundrum braneworld scenarios.
We consider delta-like, domain walls and deformed domain walls membranes.
Beyond the influence of the spacetime dimension we also consider three
types of couplings: (i) the standard Yukawa coupling with the scalar field and
parameter , (ii) a Yukawa-dilaton coupling with two parameters
and and (iii) a dilaton derivative coupling with parameter .
Together with the deformation parameter , we end up with five free parameter
to be considered. For the zero mode we find that the localization is dependent
of , because the spinorial representation changes when the bulk
dimensionality is odd or even and must be treated separately. For case (i) we
find that in odd dimensions only one chirality can be localized and for even
dimension a massless Dirac spinor is trapped over the brane. In the cases (ii)
and (iii) we find that for some values of the parameters, both chiralities can
be localized in odd dimensions and for even dimensions we obtain that the
massless Dirac spinor is trapped over the brane. We also calculated numerically
resonances for cases (ii) and (iii) by using the transfer matrix method. We
find that, for deformed defects, the increasing of induces a shift in the
peaks of resonances. For a given with domain walls, we find that the
resonances can show up by changing the spacetime dimensionality. For example,
the same case in do not induces resonances but when we consider
one peak of resonance is found. Therefore the introduction of more dimensions,
diversely from the bosonic case, can change drastically the zero mode and
resonances in fermion fields.Comment: 28 pages, 7 figure
Universal Aspects of Gauge Field Localization on Branes in -dimensions
In this work, we study the general properties of the -vector field
localization on -brane with co-dimension . We consider a
conformally flat metric with the warp factor depending only on the transverse
extra dimensions. We employ the geometrical coupling mechanism and find an
analytical solution for the gauge field valid for any warp factor. Using
this solution we find that the only condition necessary for localization is
that the bulk geometry is asymptotically AdS. Therefore, our solution has an
universal validity for any warp factor and is independent of the particular
model considered. We also show that the model has no tachyonic modes. Finally,
we study the scalar components of the -vector field. As a general result, we
show that if we consider the coupling with the tensor and the Ricci scalar in
higher co-dimensions, there is an indication that both sectors will be
localized. As a concrete example, the above techniques are applied for the
intersecting brane model. We obtain that the branes introduce boundary
conditions that fix all parameters of the model in such a way that both
sectors, gauge and scalar fields, are confined.Comment: 26 pages, 5 figures, Accepted version for publication in JHE
Gauge Field Emergence from Kalb-Ramond Localization
A new mechanism, valid for any smooth version of the Randall-Sundrum model,
of getting localized massless vector field on the brane is described here. This
is obtained by dimensional reduction of a five dimension massive two form, or
Kalb-Ramond field, giving a Kalb-Ramond and an emergent vector field in four
dimensions. A geometrical coupling with the Ricci scalar is proposed and the
coupling constant is fixed such that the components of the fields are
localized. The solution is obtained by decomposing the fields in transversal
and longitudinal parts and showing that this give decoupled equations of motion
for the transverse vector and KR fields in four dimensions. We also prove some
identities satisfied by the transverse components of the fields. With this is
possible to fix the coupling constant in a way that a localized zero mode for
both components on the brane is obtained. Then, all the above results are
generalized to the massive form field. It is also shown that in general an
effective and forms can not be localized on the brane and we have
to sort one of them to localize. Therefore, we can not have a vector and a
scalar field localized by dimensional reduction of the five dimensional vector
field. In fact we find the expression which determines what forms
will give rise to both fields localized. For , as expected, this is valid
only for the KR field.Comment: Improved version. Some factors corrected and definitions added. The
main results continue vali
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