A Stroll through the Loop-Tree Duality
The Loop-Tree Duality (LTD) theorem is an innovative technique to deal with multi-loop scattering amplitudes, leading to integrand-level representations over a Euclidean space. In this article, we review the last developments concerning this framework, focusing on the manifestly causal representatio...
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MDPI AG
2021-06-01
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Series: | Symmetry |
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Online Access: | https://www.mdpi.com/2073-8994/13/6/1029 |
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author | José de Jesús Aguilera-Verdugo Félix Driencourt-Mangin Roger José Hernández-Pinto Judith Plenter Renato Maria Prisco Norma Selomit Ramírez-Uribe Andrés Ernesto Rentería-Olivo Germán Rodrigo German Sborlini William Javier Torres Bobadilla Francesco Tramontano |
author_facet | José de Jesús Aguilera-Verdugo Félix Driencourt-Mangin Roger José Hernández-Pinto Judith Plenter Renato Maria Prisco Norma Selomit Ramírez-Uribe Andrés Ernesto Rentería-Olivo Germán Rodrigo German Sborlini William Javier Torres Bobadilla Francesco Tramontano |
author_sort | José de Jesús Aguilera-Verdugo |
collection | DOAJ |
description | The Loop-Tree Duality (LTD) theorem is an innovative technique to deal with multi-loop scattering amplitudes, leading to integrand-level representations over a Euclidean space. In this article, we review the last developments concerning this framework, focusing on the manifestly causal representation of multi-loop Feynman integrals and scattering amplitudes, and the definition of dual local counter-terms to cancel infrared singularities. |
first_indexed | 2024-03-10T10:36:23Z |
format | Article |
id | doaj.art-b8ea6e112b4d454f8c8d90f982e69b35 |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-10T10:36:23Z |
publishDate | 2021-06-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
spelling | doaj.art-b8ea6e112b4d454f8c8d90f982e69b352023-11-21T23:17:28ZengMDPI AGSymmetry2073-89942021-06-01136102910.3390/sym13061029A Stroll through the Loop-Tree DualityJosé de Jesús Aguilera-Verdugo0Félix Driencourt-Mangin1Roger José Hernández-Pinto2Judith Plenter3Renato Maria Prisco4Norma Selomit Ramírez-Uribe5Andrés Ernesto Rentería-Olivo6Germán Rodrigo7German Sborlini8William Javier Torres Bobadilla9Francesco Tramontano10Instituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainInstituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainFacultad de Ciencias Físico-Matemáticas, Universidad Autónoma de Sinaloa, Ciudad Universitaria, 80000 Culiacán, MexicoInstituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainDipartimento di Fisica, Università di Napoli Federico II and INFN, Sezione di Napoli, I-80126 Napoli, ItalyInstituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainInstituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainInstituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainInstituto de Física Corpuscular, Universitat de València–Consejo Superior de Investigaciones Científicas, Parc Científic, E-46980 Paterna, SpainMax-Planck-Institut für Physik, Werner-Heisenberg-Institut, Föhringer Ring 6, D-80805 München, GermanyDipartimento di Fisica, Università di Napoli Federico II and INFN, Sezione di Napoli, I-80126 Napoli, ItalyThe Loop-Tree Duality (LTD) theorem is an innovative technique to deal with multi-loop scattering amplitudes, leading to integrand-level representations over a Euclidean space. In this article, we review the last developments concerning this framework, focusing on the manifestly causal representation of multi-loop Feynman integrals and scattering amplitudes, and the definition of dual local counter-terms to cancel infrared singularities.https://www.mdpi.com/2073-8994/13/6/1029Feynman integralsmulti-loop calculationsperturbative QFThigher orders |
spellingShingle | José de Jesús Aguilera-Verdugo Félix Driencourt-Mangin Roger José Hernández-Pinto Judith Plenter Renato Maria Prisco Norma Selomit Ramírez-Uribe Andrés Ernesto Rentería-Olivo Germán Rodrigo German Sborlini William Javier Torres Bobadilla Francesco Tramontano A Stroll through the Loop-Tree Duality Symmetry Feynman integrals multi-loop calculations perturbative QFT higher orders |
title | A Stroll through the Loop-Tree Duality |
title_full | A Stroll through the Loop-Tree Duality |
title_fullStr | A Stroll through the Loop-Tree Duality |
title_full_unstemmed | A Stroll through the Loop-Tree Duality |
title_short | A Stroll through the Loop-Tree Duality |
title_sort | stroll through the loop tree duality |
topic | Feynman integrals multi-loop calculations perturbative QFT higher orders |
url | https://www.mdpi.com/2073-8994/13/6/1029 |
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