Academic Publications
2023
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V. Zaché, G. Luchini, G. Battisti
A derivation of the Stokes Theorem, Rev. Bras. Ensino Fís. 45 • 2023
https://doi.org/10.1590/1806-9126-RBEF-2023-0218
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2022
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V. Zaché, G. Luchini.
A zero curvature representation of electromagnetism and the conservation of electric charge., Braz.J.Phys. 52 (2022) 4, 129
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2020
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Betti Hartmann, Gabriel Luchini, Clisthenis P. Constantinidis, Carlos F.S. Pereira .
Real scalar field kinks and antikinks and their perturbation spectra in a closed universe. Phys. Rev. D 101, 07600
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Some novel considerations about the collective coordinates approximation for the scattering of Ï•4 kinks
Carlos F.S. Pereira, Gabriel Luchini, Tadeu Tassis, Clisthenis P. Constantinidis. (2021) J. Phys. A: Math. Theor. 54 075701
2019
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G. Luchini, T. Tassis.
BPS states for scalar field theories based on g2 and su(4) algebras, J. High Energ. Phys. 2020, 11 (2020)
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C. P. Constantinidis, L. A. Ferreira, G. Luchini.
A mild source for th Wu-Yang magnetic monopole J.Phys. A 52 (2019) no.15, 155202
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It is worth mentioning the results of this paper.
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1) It's shown that the Wu-Yang monopole indeed needs an external source in order to be a solution of the Yang-Mills equations. On the other hand, this source does not violate the Bianchi identity in the sense of distribution theory.
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2) The analysis of the differential Yang-Mills equations is not enough to solve this problem. It is necessary to use the integral Yang-Mills equations [introduced in Physical Review. D. Particles, Fields, Gravitation, and Cosmology (Online), v. 86, p. 085039, 2012] which involve a second type of magnetic field. This field becomes abelian when calculated over the Wu-Yang monopole configuration.
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3) As observed by Wu and Yang in their original paper on this subject, the Noether magnetic charge which comes from the Yang-Mills equation vanishes on this magnetic monopole solution. We have shown that this monopole has, in fact, a non-trivial magnetic charge which is dynamically conserved. This charge comes directly from the integral Yang-Mills equation and its value for the 't Hooft-Polyakov monopole is the same: the magnetic fields involved have the same behavior at large distances.
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2017
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C. P. Constantinidis, L. A. Ferreira, G. Luchini.
A direct test of the integral Yang-Mills equations through SU(2) monopoles Phys.Rev. D96 (2017) no.10, 105024
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2015
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Yves Brihaye, Adolfo Cisterna, Betti Hartmann, Gabriel Luchini. From topological to non-topological solitons: kinks, domain walls and Q-balls in a scalar field model with non-trivial vacuum manifold, arXiv:1511.02757 [hep-th], Phys. Rev. D 92, 124061
C. P. Constantinidis, G. Luchini. L. A. Ferreira. A remark on the asymptotic form of BPS multi-dyon solutions and their conserved charges. e-Print: arXiv:1508.03049 [hep-th], Journal of High Energy Physics, 2015(12), 1-17
2014
H. Baron, G. Luchini, Wojtek J. Zakrzewski. Collective coordinates approximation to the scattering of solitons in the (1+1) dimensional NLS model. Journal of Physics A: Mathematical and Theoretical, v. 47, n. 26, 2014
2013
L. A. Ferreira, G. Luchini, Wojtek J. Zakrzewski. The concept of quasi-integrability. Proceedings of the 2nd International Workshop on Nonlinear and Modern Mathematical Physics, March 9-11, 2013, Tampa, Florida, USA
2012
Ferreira, L.A. ; G. Luchini . Hidden symmetries and gauge theories. Proceedings of the 13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories (MG13), 1-7 Jul 2012, Stockholm, Sweeden
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Ferreira, L.A. ; G. Luchini . Gauge and integrable theories in loop spaces. Nuclear Physics. B (Print), v. 858, p. 336-365,
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Ferreira, L. A. ; Luchini, G. ; Zakrzewski, Wojtek J. . The concept of quasi-integrability for modified non-linear Schrödinger models. The Journal of High Energy Physics (Online), v. 2012, p. 103, 2012.
Ferreira, A, L. ; Luchini, G. . Integral form of Yang-Mills equations and its gauge invariant conserved charges. Physical Review. D. Particles, Fields, Gravitation, and Cosmology (Online), v. 86, p. 085039, 2012.
2010
G. Luchini; A. Rios; C.P.Constantinidis; O. Piguet. Quantization of Chern-Simons theory à la loop quantum gravity. Published in the proceedings of the 4th International Conference of Fundamental Interactions, August 1-7, 2010, Viçosa, Minas Gerais, Brazil
Constantinidis, C.P ; G. Luchini ; O. Piguet . The Hilbert space of the Chern Simons theory on a cylinder: a loop quantum gravity approach. Classical and Quantum Gravity (Print), v. 27, p. 065009, 2010.