12,475 research outputs found
Noncommutativity and Duality through the Symplectic Embedding Formalism
This work is devoted to review the gauge embedding of either commutative and
noncommutative (NC) theories using the symplectic formalism framework. To sum
up the main features of the method, during the process of embedding, the
infinitesimal gauge generators of the gauge embedded theory are easily and
directly chosen. Among other advantages, this enables a greater control over
the final Lagrangian and brings some light on the so-called "arbitrariness
problem". This alternative embedding formalism also presents a way to obtain a
set of dynamically dual equivalent embedded Lagrangian densities which is
obtained after a finite number of steps in the iterative symplectic process,
oppositely to the result proposed using the BFFT formalism. On the other hand,
we will see precisely that the symplectic embedding formalism can be seen as an
alternative and an efficient procedure to the standard introduction of the
Moyal product in order to produce in a natural way a NC theory. In order to
construct a pedagogical explanation of the method to the nonspecialist we
exemplify the formalism showing that the massive NC U(1) theory is embedded in
a gauge theory using this alternative systematic path based on the symplectic
framework. Further, as other applications of the method, we describe exactly
how to obtain a Lagrangian description for the NC version of some systems
reproducing well known theories. Naming some of them, we use the procedure in
the Proca model, the irrotational fluid model and the noncommutative self-dual
model in order to obtain dual equivalent actions for these theories. To
illustrate the process of noncommutativity introduction we use the chiral
oscillator and the nondegenerate mechanics
Sympatric speciation in an age-structured population living on a lattice
A square lattice is introduced into the Penna model for biological aging in
order to study the evolution of diploid sexual populations under certain
conditions when one single locus in the individual's genome is considered as
identifier of species. The simulation results show, after several generations,
the flourishing and coexistence of two separate species in the same
environment, i.e., one original species splits up into two on the same
territory (sympatric speciation). As well, the mortalities obtained are in a
good agreement with the Gompertz law of exponential increase of mortality with
age.Comment: 5 pages including 3 encapsulated postscript (*.eps) figures; To
appear in European Physical Journal
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