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The Heisenberg spinor field classification and its interplay with the Lounesto’s classification
(Springer, 2019-03)
Dirac linear spinor fields were obtained from non-linear Heisenberg spinors, in the literature. Here we extend that idea by considering not only Dirac spinor fields but spinor fields in any of the Lounesto’s classes. When ...
The (restricted) Inomata-McKinley spinor representation and the underlying topology
(2017-08-01)
The so-called Inomata-McKinley spinors are a particular solution of the non-linear Heisenberg equation. In fact, free linear massive (or massless) Dirac fields are well known to be represented as a combination of ...
Espinores exóticos e espinores RIM: aspectos físicos e algébricos
(Universidade Estadual Paulista (Unesp), 2019-03-22)
Espinores exóticos surgem quando a topologia da variedade $M$ tomada como sendo o espaço-tempo é suposta ser não-trivial, no sentindo que seu grupo fundamental é não-trivial: $\pi_1(M) \neq 0$. Assim, um novo termo exótico ...
Fermions embedded in a scalar-vector kink-like smooth potential
(2015-07-15)
The behaviour of massive fermions is analyzed with scalar and vector potentials. A continuous chiral-conjugation transformation decouples the equation for the upper component of the Dirac spinor provided the vector coupling ...
La teoría de Einstein-Maxwell al nivel de un lazo usando el formalismo línea de mundo
(Universidad Michoacana de San Nicolás de Hidalgo, 2011-02)
In this thesis we developed the world line formalism as a very efficient tool for calculating the effective action in the Einstein-Maxwell theory due to a scalar or spinor loop. The calculation is performed in the limit ...
Large-S limit of the large-N theory for the triangular antiferromagnet
(American Physical Society, 2019-09)
Large-S and large-N theories (spin value S and spinor component number N) are complementary, and sometimes conflicting, approaches to quantum magnetism. While large-S spin-wave theory captures the correct semiclassical ...
Ground state of fermions in quasi-1D honeycomb optical lattices
(Universidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - FísicaFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2022)
Lattice models (tight-binding) for many-body systems give a good theoretical
and experimental framework to study quantum phase transitions presented in several
strongly correlated materials at low temperature. In general, ...