Por favor, use este identificador para citar o enlazar este ítem:
https://repositoriodspace.unipamplona.edu.co/jspui/handle/20.500.12744/11760Registro completo de metadatos
| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.contributor.author | Jaimes Arciniegas, Jefferson Orlando. | - |
| dc.date.accessioned | 2026-10-15T02:03:14Z | - |
| dc.date.available | 2024 | - |
| dc.date.available | 2026-10-15T02:03:14Z | - |
| dc.date.issued | 2024 | - |
| dc.identifier.citation | Jaimes Arciniegas, J. O. (2024). Loop-tree duality theorem for the computation of the standard model masses. [Trabajo de Grado Pregrado, Universidad de Pamplona]. Repositorio Hulago Universidad de Pamplona. https://repositoriodspace.unipamplona.edu.co/jspui/handle/20.500.12744/11760 | es_CO |
| dc.identifier.uri | https://repositoriodspace.unipamplona.edu.co/jspui/handle/20.500.12744/11760 | - |
| dc.description | En esta tesis se estudia inicialmente la construcción del Modelo Estándar de la física de partículas, clasificando el espectro de interacciones y materia de acuerdo con el teorema espin-estadistica. Las partículas libres se representan mediante campos cuánticos construidos como una superposición de Fourier de ondas planas con coeficientes que son operadores escalera de creación y aniquilación. En particular, los bosones escalares se describen mediante el campo de Klein-Gordon, los fermiónes a través del campo de Dirac y los bosones vectoriales de fuerza usando el campo de Maxwell para bosones sin masa y el campo de Proca para bosones masivos. Usando el principio de mínima acción, se obtienen las ecuaciones de movimiento asociadas a cada campo libre. Adicionalmente, se discute los posibles términos de interacción que pueden incluirse en el Lagrangiano del Modelo Estándar asumiendo el principio gauge y la renormalizabilidad de la teoría. Por otro lado, se discute el cálculo de los propagadores libres usando la prescripción usual de Feynman. En esta prescripción se observa que las correcciones cuánticas a los propagadores presentan divergencias infrarrojas y ultravioletas que deben eliminarse de las amplitudes, ya sea usando el método de regularización dimensional junto con un procedimiento de renormalización, o utilizando los teoremas integrales del análisis complejo para identificar los coeficientes de los polos correspondientes. Con la ayuda del teorema de árbol de Feynman (FTT) se establece que las amplitudes de dispersión dominantes a altas energías están representadas por los diagramas a nivel árbol, mientras que usando el teorema de dualidad loop-árbol (LTD) es posible relacionar las amplitudes de dispersión que incluyen correcciones cuánticas (loops) con las amplitudes a nivel clásico. Esto tiene como ventaja, con respecto a la técnica convencional diagramática de Feynman, que las singularidades cinemáticas asociadas a las integrales de Feynman con loops pueden ser eliminadas directamente en cuatro dimensiones. | es_CO |
| dc.description.abstract | El autor no proporciona la información sobre este ítem. | es_CO |
| dc.format.extent | 67 | es_CO |
| dc.format.mimetype | application/pdf | es_CO |
| dc.language.iso | es | es_CO |
| dc.publisher | Universidad de Pamplona - Facultad de Ciencias Básicas. | es_CO |
| dc.subject | Dualidad Loop-Arbol. | es_CO |
| dc.subject | Propagador. | es_CO |
| dc.subject | Causalidad. | es_CO |
| dc.subject | Modelo Estándar. | es_CO |
| dc.subject | Integrales de Feynman. | es_CO |
| dc.title | Loop-tree duality theorem for the computation of the standard model masses. | es_CO |
| dc.type | http://purl.org/coar/resource_type/c_7a1f | es_CO |
| dc.date.accepted | 2024 | - |
| dc.description.edition | Universidad de Pamplona - Facultad de Ciencias Básicas. | es_CO |
| dc.relation.references | L. García-Tabarés, “El desarrollo de tecnologías de aceleradores de partículas en el ciemat y el cedex,” Revista Digital del Cedex, no. 178, pp. 47–47, 2015. | es_CO |
| dc.relation.references | I. García García, “Future linear colliders detector r&d, jet reconstruction and top physics potential,” 2016. | es_CO |
| dc.relation.references | C. G. Bollini and J. J. Giambiagi, “Dimensional renormalization: The number of dimensions as a regularizing parameter.,” tech. rep., Univ. Nacional, La Plata, 1972. | es_CO |
| dc.relation.references | J. F. Ashmore, “A method of gauge-invariant regularization,” Lettere al Nuovo Cimento (1971-1985), vol. 4, pp. 289–290, 1972. | es_CO |
| dc.relation.references | A. R. Fazio, P. Mastrolia, E. Mirabella, and W. J. Torres Bobadilla, “On the fourdimensional formulation of dimensionally regulated amplitudes,” The European Physical Journal C, vol. 74, no. 12, p. 3197, 2014. | es_CO |
| dc.relation.references | I. Bierenbaum, S. Buchta, P. Draggiotis, I. Malamos, and G. Rodrigo, “Tree-loop duality relation beyond single poles,” Journal of High Energy Physics, vol. 2013, no. 3, pp. 1–24, 2013. | es_CO |
| dc.relation.references | S. Buchta, “Theoretical foundations and applications of the loop-tree duality in quantum field theories,” arXiv preprint arXiv:1509.07167, 2015. | es_CO |
| dc.relation.references | S. Buchta, G. Chachamis, P. Draggiotis, I. Malamos, and G. Rodrigo, “Towards a numerical implementation of the loop-tree duality method,” Nuclear and Particle Physics Proceedings, vol. 258, pp. 33–36, 2015. | es_CO |
| dc.relation.references | G. Rodrigo, S. Catani, T. Gleisberg, F. Krauss, and J.-C. Winter, “From multileg loops to trees (by-passing feynman’s tree theorem),” Nuclear Physics B-Proceedings Supplements, vol. 183, pp. 262–267, 2008. | es_CO |
| dc.relation.references | Z. Capatti, V. Hirschi, D. Kermanschah, and B. Ruijl, “Loop-tree duality for multiloop numerical integration,” Physical Review Letters, vol. 123, no. 15, p. 151602, 2019. | es_CO |
| dc.relation.references | J. J. Aguilera-Verdugo, F. Driencourt-Mangin, J. Plenter, S. Ramírez-Uribe, G. Rodrigo, G. F. Sborlini, W. J. Torres Bobadilla, and S. Tracz, “Causality, unitarity thresholds, anomalous thresholds and infrared singularities from the looptree duality at higher orders,” Journal of High Energy Physics, vol. 2019, no. 12, pp. 1–12, 2019. | es_CO |
| dc.relation.references | R. E. Cutkosky, “Singularities and discontinuities of feynman amplitudes,” Journal of Mathematical Physics, vol. 1, no. 5, pp. 429–433, 1960. | es_CO |
| dc.relation.references | E. Tomboulis, “Causality and unitarity via the tree-loop duality relation,” Journal of High Energy Physics, vol. 2017, no. 5, pp. 1–23, 2017. | es_CO |
| dc.relation.references | R. Runkel, Z. Szőr, J. P. Vesga, and S. Weinzierl, “Integrands of loop amplitudes within loop-tree duality,” Physical Review D, vol. 101, no. 11, p. 116014, 2020. | es_CO |
| dc.relation.references | R. J. Hernández-Pinto, G. F. Sborlini, and G. Rodrigo, “Towards gauge theories in four dimensions,” Journal of High Energy Physics, vol. 2016, no. 2, pp. 1–14, 2016. | es_CO |
| dc.relation.references | G. F. Sborlini, “Loop-tree duality and quantum field theory in four dimensions,” arXiv preprint arXiv:1601.04634, 2016. | es_CO |
| dc.relation.references | G. F. Sborlini, F. Driencourt-Mangin, R. J. Hernandez-Pinto, and G. Rodrigo, “Four-dimensional unsubtraction from the loop-tree duality,” Journal of High Energy Physics, vol. 2016, no. 8, pp. 1–42, 2016. | es_CO |
| dc.relation.references | G. F. Sborlini, “Geometrical approach to causality in multiloop amplitudes,” Physical Review D, vol. 104, no. 3, p. 036014, 2021. | es_CO |
| dc.relation.references | W. J. Torres Bobadilla, “Loop-tree duality from vertices and edges,” Journal of High Energy Physics, vol. 2021, no. 4, pp. 1–28, 2021. | es_CO |
| dc.relation.references | W. J. Torres Bobadilla, “Lotty–the loop-tree duality automation,” The European Physical Journal C, vol. 81, no. 6, p. 514, 2021. | es_CO |
| dc.relation.references | D. Aguilera, A. Maza, G. Liendo, and M. Niaz, “Modelos conceptuales de los estudiantes universitarios sobre la estructura atómica basados en los experimentos de thomson, rutherford y bohr/conceptual models of university students about atomic structure based on experiments of thomson, rutherford and bohr,” Journal of Science Education, vol. 1, no. 2, p. 112, 2000. | es_CO |
| dc.relation.references | F. collaboration et al., “Fcc-ee: the lepton collider: future circular collider conceptual design report volume 2,” European Physical Journal Special Topics, vol. 228, no. 2, pp. 261–623, 2019. | es_CO |
| dc.relation.references | M. Moreno, “Aceleradores de partículas,” Analogías y conexiones en la Física, p. 461, 2020. | es_CO |
| dc.relation.references | E. Reyes R and A. Fazio, “The lightest higgs boson mass of the mssm at three-loop accuracy,” arXiv e-prints, pp. arXiv–1901, 2019. | es_CO |
| dc.relation.references | E. Reyes R and A. Fazio, “Higgs boson mass corrections at n3lo in the top-yukawa sector of the standard model,” arXiv e-prints, pp. arXiv–2301, 2022. | es_CO |
| dc.relation.references | E. Reyes and R. Fazio, “High-precision calculations of the higgs boson mass,” Particles, vol. 5, no. 1, pp. 53–73, 2022. | es_CO |
| dc.relation.references | A. Fazio and E. R. Rojas, “Vacuum stability and two loop threshold corrections to the higgs quartic coupling,” Nuclear and Particle Physics Proceedings, vol. 267, pp. 53–59, 2015. | es_CO |
| dc.relation.references | E. Reyes Rojas, “The higgs boson at lhc and the vacuum stability of the standard model,” arXiv e-prints, pp. arXiv–1511, 2015. | es_CO |
| dc.relation.references | E. Rojas, “The higgs boson at lhc and the vacuum stability of the standard model,” arXiv preprint arXiv:1511.03651, 2015. | es_CO |
| dc.relation.references | G. Salamanna, “Top quark production measurements using the atlas detector at the lhc,” tech. rep., ATL-COM-PHYS-2015-1567, 2016. | es_CO |
| dc.relation.references | R. L. Workman and Others, “Review of Particle Physics,” PTEP, vol. 2022, p. 083C01, 2022. | es_CO |
| dc.relation.references | W. Marciano and H. Pagels, “Quantum chromodynamics,” Physics Reports, vol. 36, no. 3, pp. 137–276, 1978. | es_CO |
| dc.relation.references | S. Bilenky and J. Hošek, “Glashow-weinberg-salam theory of electroweak interactions and the neutral currents,” Physics Reports, vol. 90, no. 2, pp. 73–157, 1982. | es_CO |
| dc.relation.references | L. E. Ballentine, Quantum mechanics: a modern development. World Scientific Publishing Company, 2014. | es_CO |
| dc.relation.references | J. Sakurai, Modern Quantum Mechanics Revised Edition. Addison-Wesley Publishing Company, 1994.. | es_CO |
| dc.relation.references | P. Heckbert, “Fourier transforms and the fast fourier transform (fft) algorithm,” Computer Graphics, vol. 2, no. 1995, pp. 15–463, 1995. | es_CO |
| dc.relation.references | M. Peskin, An Introduction to Quantum Field Theory. Addison-Wesley Publishing Company, 1995. | es_CO |
| dc.relation.references | W. Greiner and J. Reinhardt, Quantum electrodynamics. Springer Science & Business Media, 2013. | es_CO |
| dc.relation.references | M. Ferrero, Fundamentos de física cuántica. Editorial Complutense, 1996. | es_CO |
| dc.relation.references | J. D. Bjorken and S. D. Drell, “Relativistic quantum fields,” (No Title), 1965. | es_CO |
| dc.relation.references | J. García-Aguilar and J. Gómez-Izquierdo, “C\’alculo de la integral escalar a un lazo a(mΘ2) mediante el teorema del residuo,” arXiv preprint arXiv:2011.01887, 2020. | es_CO |
| dc.relation.references | R. Feynman, “Quantum theory of gravitation,” 1963. | es_CO |
| dc.relation.references | R. P. Feynman, “Closed loop and tree diagrams,” Magic Without Magic: John Archibald Wheeler, p. 355, 1972. | es_CO |
| dc.relation.references | N. S. Ramírez-Uribe, R. J. Hernández-Pinto, and G. Rodrigo, “Qed and qcd selfenergy corrections through the loop-tree duality,” in Journal of Physics: Conference Series, vol. 912, p. 012013, IOP Publishing, 2017. | es_CO |
| dc.relation.references | M. Veltman et al., “Regularization and renormalization of gauge fields,” Nuclear Physics B, vol. 44, no. 1, pp. 189–213, 1972. | es_CO |
| dc.relation.references | S. Buchta, G. Chachamis, P. Draggiotis, I. Malamos, and G. Rodrigo, “On the singular behaviour of scattering amplitudes in quantum field theory,” Journal of High Energy Physics, vol. 2014, no. 11, pp. 1–13, 2014. | es_CO |
| dc.relation.references | G. F. Sborlini, R. Hernandez-Pinto, and G. Rodrigo, “From dimensional regularization to nlo computations in four dimensions,” arXiv preprint arXiv:1510.01079, 2015. | es_CO |
| dc.relation.references | T. Hahn, “Automatic loop calculations with feynarts, formcalc, and looptools,” Nuclear Physics B-Proceedings Supplements, vol. 89, no. 1-3, pp. 231–236, 2000. | es_CO |
| dc.relation.references | J. Carter and G. Heinrich, “Secdec: A general program for sector decomposition,” Computer Physics Communications, vol. 182, no. 7, pp. 1566–1581, 2011. | es_CO |
| dc.relation.references | S. Ramírez-Uribe, R. J. Hernández-Pinto, G. Rodrigo, G. F. Sborlini, and W. J. Torres Bobadilla, “Universal opening of four-loop scattering amplitudes to trees,” Journal of High Energy Physics, vol. 2021, no. 4, pp. 1–22, 2021. | es_CO |
| dc.relation.references | J. J. Aguilera-Verdugo, F. Driencourt-Mangin, R. J. Hernández-Pinto, J. Plenter, S. Ramírez-Uribe, A. E. Rentería-Olivo, G. Rodrigo, G. F. Sborlini, W. J. T. Bobadilla, and S. Tracz, “Open loop amplitudes and causality to all orders and powers from the loop-tree duality,” Physical Review Letters, vol. 124, no. 21, p. 211602, 2020. | es_CO |
| dc.rights.accessrights | http://purl.org/coar/access_right/c_abf2 | es_CO |
| dc.type.coarversion | http://purl.org/coar/resource_type/c_2df8fbb1 | es_CO |
| Aparece en las colecciones: | Física | |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| Jaimes_2024_TG.pdf | Jaimes_2024_TG.pdf | 907,22 kB | Adobe PDF | Visualizar/Abrir |
Los ítems de DSpace están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.