21,909 research outputs found
Axiomatic Local Metric Derivatives for Low-Level Fractionality with Mittag-Leffler Eigenfunctions
In this contribution, we build up an axiomatic local metric derivative that
exhibits the Mittag-Leffler as an eigenfunction and is valid for low-level
fractionality, whenever the order parameter is close to . This version of
deformed or metric derivative may be a possible alternative to the versions by
Jumarie and the inappropriately so-called local fractional derivative also
based on the Jumarie's approach. With rules similar to the classical ones, but
with a solid axiomatic basis in the limit pointed out here, we present our
results and some comments on the limits of validity for the controversial
formalism found in the literature of the area.Comment: 5 page
A Note in the Skyrme Model with Higher Derivative Terms
Another stabilizer term is used in the classical Hamiltonian of the Skyrme
Model that permits in a much simple way the generalization of the higher-order
terms in the pion derivative field. Improved numerical results are obtained.Comment: Latex. Figure not include; available upon request. 7 pages, report
Finite Rotations
We present an elementary discussion of two basic properties of angular
displacements, namely, the anticommutation of finite rotations and the
commutation of infinitesimal rotations, and show how commutation is achieved as
the angular displacements get smaller and smaller
A Discussion on Massive Gravitons and Propagating Torsion in Arbitrary Dimensions
In this paper, we reassess a particular -type gravity action in D
dimensions, recently studied by Nakasone and Oda, taking now torsion effects
into account. Considering that the vielbein and the spin connection carry
independent propagating degrees of freedom, we conclude that ghosts and
tachyons are absent only if torsion is non-propagating, and we also conclude
that there is no room for massive gravitons. To include these excitations, we
understand how to enlarge Nakasone-Oda's model by means of explicit torsion
terms in the action and we discuss the unitarity of the enlarged model for
arbitrary dimensions.Comment: 11 page
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