62 research outputs found
Fermions in a warped resolved conifold
AbstractWe investigated the localization of the spinorial field in a braneworld built as a warped product between a 3-brane and a 2-cycle of the resolved conifold. This scenario provides a geometric flow that controls the singularity at the origin and changes the properties of the fermion in this background. Furthermore, due the cylindrical symmetry according to the 3-brane and a smoothed warp factor, this geometry can be regarded as a near brane correction of the string-like branes. This geometry allows a normalizable and well-defined massless mode whose decay and value on the brane depend on the resolution parameter. For the KaluzaâKlein modes, resolution parameter also controls the height of the barrier of the volcano potential
Pauli's Term and Fractional Spin
In this work we consider an Abelian Chern-Simons-Higgs model coupled
non-minimally to matter fields. This coupling is implemented by means of a
Pauli-type coupling. We show that the Pauli term is sufficient to gives rise to
fractional spin.Comment: 7 pages, no figures. To appear in Physics Letters
One-dimensional Dirac oscillator in a thermal bath
We analyze the one-dimensional Dirac oscillator in a thermal bath. We found
that the heat capacity is two times greater than the heat capacity of the
one-dimensional harmonic oscillator for higher temperatures.Comment: 4 pages, 3 figures, to appear in Physics Letters
Topologically massive nonabelian BF models in arbitrary space-time dimensions
This work extends to the D-dimensional space-time the topological mass
generation mechanism of the nonabelian BF model in four dimensions. In order to
construct the gauge invariant nonabelian kinetic terms for a (D-2)-form B and a
1-form A, we introduce an auxiliary (D-3)-form V. Furthermore, we obtain a
complete set of BRST and anti-BRST transformation rules of the fields using the
so called horizontality condition, and construct a BRST/anti-BRST invariant
quantum action for the model in D-dimensional space-time.Comment: 7 page
Consistent deformations method applied to a topological coupling of antisymmetric gauge fields in D=3
In this work we use the method of consistent deformations of the master
equation by Barnich and Henneaux in order to prove that an abelian topological
coupling between a zero and a two form fields in D=3 has no nonabelian
generalization. We conclude that a topologically massive model involving the
Kalb-Ramond two-form field does not admit a nonabelian generalization. The
introduction of a connection-type one form field keeps the previous result.Comment: 8 pages. To appear in Physics Letters
Generating mass and topological terms to the antisymmetric tensor matter field by Higgs mechanism
The interaction between the complex antisymmetric tensor matter field and a
scalar field is constructed. We analyze the Higgs mechanism and show the
generation of mass and topological terms by spontaneous symmetry breaking.Comment: Accepted for publication in Phys. Lett.
Tensor gauge field localization on a string-like defect
This work is devoted to the study of tensor gauge fields on a string-like
defect in six dimensions. This model is very successful in localizing fields of
various spins only by gravitational interaction. Due to problems of field
localization in membrane models we are motivated to investigate if a
string-like defect localizes the Kalb-Ramond field. In contrast to what happens
in Randall-Sundrum and thick brane scenarios we find a localized zero mode
without the addition of other fields in the bulk. Considering the local string
defect we obtain analytical solutions for the massive modes. Also, we take the
equations of motion in a supersymmetric quantum mechanics scenario in order to
analyze the massive modes. The influence of the mass as well as the angular
quantum number in the solutions is described. An additional analysis on the
massive modes is performed by the Kaluza-Klein decomposition, which provides
new details about the KK masses.Comment: 17 pages, 2 figures. To appear in Physics Letters
Gauge hierarchy from a topological viewpoint?
In this work we explore an alternative to the central point of the
Randall-Sundrum brane world scenario, namely, the particular nonfactorizable
metric, in order to solve the hierarchy problem. From a topological viewpoint,
we show that the exponential factor, crucial in the Randall-Sundrum model,
appears in our approach, only due to the brane existence instead of a special
metric background. Our results are based in a topological gravity theory via a
non-standard interaction between scalar and non-abelian degrees of freedom and
in calculations about localized modes of matter fields on the brane. We point
out that we obtain the same results of the Randall-Sundrum model using only one
3-brane, since a specific choice of a background metric is no longer required.Comment: 10 pages, to appear in Physics Letters
Exact solvability of potentials with spatially dependent effective masses
We discuss the relationship between exact solvability of the Schroedinger
equation, due to a spatially dependent mass, and the ordering ambiguity. Some
examples show that, even in this case, one can find exact solutions.
Furthermore, it is demonstrated that operators with linear dependence on the
momentum are nonambiguous.Comment: 12 page
- âŠ