12,584 research outputs found
Dirac quantization of a nonminimal gauged O(3) sigma model
The (2+1) dimensional gauged O(3) nonlinear sigma model with Chern-Simons
term is canonically quantized. Furthermore, we study a nonminimal coupling in
this model implemented by means of a Pauli-type term. It is shown that the set
of constraints of the model is modified by the introduction of the Pauli
coupling. Moreover, we found that the quantum commutator relations in the
nominimal case is independent of the Chern-Simons coefficient, in contrast to
the minimal one.Comment: 7 pages, to appear in Modern Physics Letters
Scaling laws and universality in the choice of election candidates
Nowadays there is an increasing interest of physicists in finding
regularities related to social phenomena. This interest is clearly motivated by
applications that a statistical mechanical description of the human behavior
may have in our society. By using this framework, we address this work to cover
an open question related to elections: the choice of elections candidates
(candidature process). Our analysis reveals that, apart from the social
motivations, this system displays features of traditional out-of-equilibrium
physical phenomena such as scale-free statistics and universality. Basically,
we found a non-linear (power law) mean correspondence between the number of
candidates and the size of the electorate (number of voters), and also that
this choice has a multiplicative underlying process (lognormal behavior). The
universality of our findings is supported by data from 16 elections from 5
countries. In addition, we show that aspects of network scale-free can be
connected to this universal behavior.Comment: Accepted for publication in EP
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