In this work we analyze the zero mode localization and resonances of
1/2-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 D we
also consider three types of couplings: (i) the standard Yukawa coupling
with the scalar field and parameter eta(1), (ii) a Yukawa-dilaton
coupling with two parameters eta(2) and lambda and (iii) a dilaton
derivative coupling with parameter h. Together with the deformation
parameter s, we end up with five free parameter to be considered. For
the zero mode we find that the localization is dependent of D, 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 D induces a shift in the peaks of resonances. For a given
lambda with domain walls, we find that the resonances can show up by changing the spacetime dimensionality. For example, the same case in D = 5 do not induces resonances but when we consider D = 10 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.
%0 Journal Article
%1 WOS:000424101600009
%A Mendes, W M
%A Alencar, G
%A Landim, R R
%C 233 SPRING ST, NEW YORK, NY 10013 USA
%D 2018
%I SPRINGER
%J JOURNAL OF HIGH ENERGY PHYSICS
%K Dimensions; Dimensions} Extra Higher Large Theories in {Field
%N 2
%R 10.1007/JHEP02(2018)018
%T Spinors fields in co-dimension one braneworlds
%X In this work we analyze the zero mode localization and resonances of
1/2-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 D we
also consider three types of couplings: (i) the standard Yukawa coupling
with the scalar field and parameter eta(1), (ii) a Yukawa-dilaton
coupling with two parameters eta(2) and lambda and (iii) a dilaton
derivative coupling with parameter h. Together with the deformation
parameter s, we end up with five free parameter to be considered. For
the zero mode we find that the localization is dependent of D, 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 D induces a shift in the peaks of resonances. For a given
lambda with domain walls, we find that the resonances can show up by changing the spacetime dimensionality. For example, the same case in D = 5 do not induces resonances but when we consider D = 10 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.
@article{WOS:000424101600009,
abstract = {In this work we analyze the zero mode localization and resonances of
1/2-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 D we
also consider three types of couplings: (i) the standard Yukawa coupling
with the scalar field and parameter eta(1), (ii) a Yukawa-dilaton
coupling with two parameters eta(2) and lambda and (iii) a dilaton
derivative coupling with parameter h. Together with the deformation
parameter s, we end up with five free parameter to be considered. For
the zero mode we find that the localization is dependent of D, 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 D induces a shift in the peaks of resonances. For a given
lambda with domain walls, we find that the resonances can show up by changing the spacetime dimensionality. For example, the same case in D = 5 do not induces resonances but when we consider D = 10 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.},
added-at = {2022-05-23T20:00:14.000+0200},
address = {233 SPRING ST, NEW YORK, NY 10013 USA},
author = {Mendes, W M and Alencar, G and Landim, R R},
biburl = {https://www.bibsonomy.org/bibtex/2c2524fcb87d8df8653c99764a7fc56ae/ppgfis_ufc_br},
doi = {10.1007/JHEP02(2018)018},
interhash = {79ae8dc596af77b9896f5cad6110f8b3},
intrahash = {c2524fcb87d8df8653c99764a7fc56ae},
issn = {1029-8479},
journal = {JOURNAL OF HIGH ENERGY PHYSICS},
keywords = {Dimensions; Dimensions} Extra Higher Large Theories in {Field},
number = 2,
publisher = {SPRINGER},
pubstate = {published},
timestamp = {2022-05-23T20:00:14.000+0200},
title = {Spinors fields in co-dimension one braneworlds},
tppubtype = {article},
year = 2018
}