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pro vyhledávání: '"Rogerio, Rodolfo José Bueno"'
In this work, we shall analyze the necessity of a proper definition of the dual structure for Elko spinors, and singular spinors in general. We examine in detail why the Dirac dual structure fails and it is not functional for these cases, highlightin
Externí odkaz:
http://arxiv.org/abs/2408.16196
Publikováno v:
Adv. Appl. Clifford Algebras 33, 39 (2023)
In this paper, we explore the field propagator with a structure that is general enough to encompass both the case of newly-defined mass-dimension $1$ fermions and spin-$1/2$ bosons. The method we employ is to define a map between spinors of different
Externí odkaz:
http://arxiv.org/abs/2203.05476
Publikováno v:
Proc. R. Soc. A 478: 20210893 (2022)
In this paper, we advance in investigating a specific set of eigenvectors of a linearly-independent square root of the identity matrix to obtain a new class of spin-half mass-dimension one fermions. Such eigenvectors, after an appropriated dual struc
Externí odkaz:
http://arxiv.org/abs/2203.05992
Publikováno v:
Int. J. Mod. Phys. A 2350189 (2023)
In Quantum Field Theory, scattering amplitudes are computed from propagators which, for internal lines, are built upon spin/polarization-sum relationships. In turn, these are normally constructed upon plane-wave solutions of the free field equations.
Externí odkaz:
http://arxiv.org/abs/2203.04087
Autor:
Rogerio, Rodolfo José Bueno
Publikováno v:
EPL, 134 (2021) 61001
This article focuses on investigating all the possible choices of the phase factor present in the quite recent (unconventional) spin-half particles, looking towards fully defining the necessary criteria to classify them within an appropriated classif
Externí odkaz:
http://arxiv.org/abs/2104.07065
Publikováno v:
Mod.Phys.Lett.A:36,2150124(2021)
One of the most important mathematical tools necessary for Quantum Field Theory calculations is the field propagator. Applications are always done in terms of plane waves and although this has furnished many magnificent results, one may still be allo
Externí odkaz:
http://arxiv.org/abs/2011.09366
Publikováno v:
Eur.Phys.J.C80:880(2020)
In this paper, we perform the polar analysis of the spinorial fields, starting from the regular cases and up to the singular cases: we will give for the first time the polar form of the spinorial field equations for the singular cases constituted by
Externí odkaz:
http://arxiv.org/abs/2004.14155
Autor:
Rogerio, Rodolfo José Bueno
Publikováno v:
Modern Physics Letters A, Vol. 36, No. 13, 2150093 (2021)
In this paper, we analyze some properties regarding singular spinors and how they are connected. The method employed here consists of mapping the spinorial structure and also the adjoint structure. Such a mathematical device is useful to determine pr
Externí odkaz:
http://arxiv.org/abs/2003.11368
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Publikováno v:
Modern Physics Letters A; 6/30/2021, Vol. 36 Issue 19, pN.PAG-N.PAG, 19p