One-Loop Off-Shell Amplitudes from Classical Equations of Motion

dc.contributor.authorGomez, Humberto
dc.contributor.authorLipinski Jusinskas, Renann
dc.contributor.authorLopez Arcos, Cristhiam
dc.contributor.authorQuintero Vélez, Alexander
dc.date.accessioned2025-07-03T21:18:33Z
dc.date.available2025-07-03T21:18:33Z
dc.date.issued2023-02-24
dc.descriptionEn esta Carta, presentamos un método recursivo para calcular integrandos off-shell de un lazo en teorías cuánticas de campos coloreados. En primer lugar, generalizamos el método perturbador reformulando las corrientes multipartícula como generadores de amplitudes fuera de la envoltura a nivel de árbol. Después, aprovechando la estructura de color subyacente, definimos un procedimiento de cosido consistente para calcular iterativamente las integradas de un bucle. Cuando intervienen simetrías gauge, todo el procedimiento se extiende a soluciones multipartícula con fantasmas, que pueden tenerse en cuenta en el cálculo de bucle completo. Dado que la entrada requerida aquí son las ecuaciones de movimiento y la simetría gauge, nuestro marco se extiende naturalmente a cálculos de un bucle en ciertas teorías de campo no lagrangianas. © 2023 autores. Publicado por la American Physical Society.
dc.description.abstractIn this Letter, we present a recursive method for computing one-loop off-shell integrands in colored quantum field theories. First, we generalize the perturbiner method by recasting the multiparticle currents as generators of off-shell tree-level amplitudes. After, by taking advantage of the underlying color structure, we define a consistent sewing procedure to iteratively compute the one-loop integrands. When gauge symmetries are involved, the whole procedure is extended to multiparticle solutions involving ghosts, which can then be accounted for in the full loop computation. Since the required input here is equations of motion and gauge symmetry, our framework naturally extends to one-loop computations in certain non-Lagrangian field theories.
dc.identifier.citationGomez, H., Lipinski Jusinskas, R., Lopez-Arcos, C., & Quintero Vélez, A. (2023). One-Loop Off-Shell Amplitudes from Classical Equations of Motion. Physical Review Letters, 130(8), 1–7. https://doi.org/10.1103/PhysRevLett.130.081601
dc.identifier.issn00319007
dc.identifier.urihttps://repositorio.usc.edu.co/handle/20.500.12421/7150
dc.language.isoen
dc.publisherAmerican Physical Society
dc.subjectComputation theory
dc.subjectGages
dc.subjectIterative methods
dc.subjectcurrent
dc.subjectClassical equation
dc.subjectEquation of motion
dc.subjectGauge symmetries
dc.subjectLagrangian field theory
dc.subjectMultiparticles
dc.subjectQuantum field theory
dc.subjectRecursive methods
dc.subjectTree level
dc.titleOne-Loop Off-Shell Amplitudes from Classical Equations of Motion
dc.typeArticle

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