71 research outputs found
Regularization Independent Analysis of the Origin of Two Loop Contributions to N=1 Super Yang-Mills Beta Function
We present a both ultraviolet and infrared regularization independent
analysis in a symmetry preserving framework for the N=1 Super Yang-Mills beta
function to two loop order. We show explicitly that off-shell infrared
divergences as well as the overall two loop ultraviolet divergence cancel out
whilst the beta function receives contributions of infrared modes.Comment: 7 pages, 2 figures, typos correcte
Ultraviolet and Infrared Divergences in Implicit Regularization: a Consistent Approach
Implicit Regularization is a 4-dimensional regularization initially conceived
to treat ultraviolet divergences. It has been successfully tested in several
instances in the literature, more specifically in those where Dimensional
Regularization does not apply. In the present contribution we extend the method
to handle infrared divergences as well. We show that the essential steps which
rendered Implicit Regularization adequate in the case of ultraviolet
divergences have their counterpart for infrared ones. Moreover we show that a
new scale appears, typically an infrared scale which is completely independent
of the ultraviolet one. Examples are given.Comment: 9 pages, version to appear in Mod. Phys. Lett.
Classical Solutions in a Lorentz-violating Maxwell-Chern-Simons Electrodynamics
We take as starting point the planar model arising from the dimensional
reduction of the Maxwell Electrodynamics with the (Lorentz-violating)
Carroll-Field-Jackiw term. We then write and study the extended Maxwell
equations and the corresponding wave equations for the potentials. The solution
to these equations show some interesting deviations from the usual MCS
Electrodynamics, with background-dependent correction terms. In the case of a
time-like background, the correction terms dominate over the MCS sector in the
region far from the origin, and establish the behaviour of a massless
Electrodynamics (in the electric sector). In the space-like case, the solutions
indicate the clear manifestation of spatial anisotropy, which is consistent
with the existence of a privileged direction is space.Comment: latex, 8 page
Mass generation for abelian spin-1 particles via a symmetric tensor
In the topologically massive BF model (TMBF) the photon becomes massive via
coupling to an antisymmetric tensor, without breaking the U(1) gauge symmetry .
There is no need of a Higgs field. The TMBF model is dual to a first-order (in
derivatives) formulation of the Maxwell-Proca theory where the antisymmetric
field plays the role of an auxiliary field. Since the Maxwell-Proca theory also
admits a first-order version which makes use of an auxiliary symmetric tensor,
we investigate here a possible generalization of the TMBF model where the
photon acquires mass via coupling to a symmetric tensor. We show that it is
indeed possible to build up dual models to the Maxwell-Proca theory where the
U(1) gauge symmetry is manifest without Higgs field, but after a local field
redefinition the vector field eats up the trace of the symmetric tensor and
becomes massive. So the explicit U(1) symmetry can be removed unlike the TMBF
model.Comment: 15 pages, no figures, one reference added, two typos on page 3 fixe
Gauge Theories with Lorentz-Symmetry Violation by Symplectic Projector Method
The violation of Lorentz symmetry is studied from the point of view of a
canonical formulation. We make the usual analysis on the constraints structure
of the Carroll-Field-Jackiw model. In this context we derive the equations of
motion for the physical variables and check out the dispersion relations
obtained from them. Therefore, by the analysis using Symplectic Projector
Method (SPM), we can check the results about this type of Lorentz breaking with
those in the recent literature: in this sense we can confirm that the
configuration of space-like is stable, and the time-like
carry tachionic modes.Comment: 7 pages and no figure
High-throughput DNA sequencing of museum specimens sheds light on the long-missing species of the Bokermannohyla claresignata group (Anura: Hylidae: Cophomantini)
The two species of the Bokermannohyla claresignata species group (Anura: Hylidae) have not been collected for the last four decades. It is the only species group of the hyline tribe Cophomantini that has not yet been analysed genetically. Its phylogenetic position is thus uncertain, and it has a combination of adult and larval character states that make this group a crucial missing piece that hinders our understanding of Cophomantini phylogenetics and character evolution. We obtained DNA sequences from a museum larval specimen of Bok. claresignata, using specialized extraction methods and high-throughput DNA sequencing, and combined the molecular phylogenetic results with available phenotypic information to provide new insights into the taxonomy and phylogenetic relationships of its species group. Our phylogenetic results place Bok. claresignata as sister to the Boana pulchella group, supporting its inclusion in Boana, together with Bokermannohyla clepsydra. In light of this new finding, we recognize a newly defined Boana claresignata group to accommodate these species, thus resolving both the polyphyly of Bokermannohyla and the paraphyly of Boana. Considering the phylogenetic relationships of the Boana claresignata group, we also discuss the evolution of suctorial tadpoles and mature oocyte/egg pigmentation in Cophomantini
On the equivalence between Implicit Regularization and Constrained Differential Renormalization
Constrained Differential Renormalization (CDR) and the constrained version of
Implicit Regularization (IR) are two regularization independent techniques that
do not rely on dimensional continuation of the space-time. These two methods
which have rather distinct basis have been successfully applied to several
calculations which show that they can be trusted as practical, symmetry
invariant frameworks (gauge and supersymmetry included) in perturbative
computations even beyond one-loop order.
In this paper, we show the equivalence between these two methods at one-loop
order. We show that the configuration space rules of CDR can be mapped into the
momentum space procedures of Implicit Regularization, the major principle
behind this equivalence being the extension of the properties of regular
distributions to the regularized ones.Comment: 16 page
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