One-Loop Off-Shell Amplitudes from Classical Equations of Motion
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Date
2023-02-24
Journal Title
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Publisher
American Physical Society
Abstract
In 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.
Description
En esta Carta, presentamos un mĂ©todo recursivo para calcular integrandos off-shell de un lazo en teorĂas cuánticas de campos coloreados. En primer lugar, generalizamos el mĂ©todo perturbador reformulando las corrientes multipartĂcula como generadores de amplitudes fuera de la envoltura a nivel de árbol. DespuĂ©s, aprovechando la estructura de color subyacente, definimos un procedimiento de cosido consistente para calcular iterativamente las integradas de un bucle. Cuando intervienen simetrĂas gauge, todo el procedimiento se extiende a soluciones multipartĂcula con fantasmas, que pueden tenerse en cuenta en el cálculo de bucle completo. Dado que la entrada requerida aquĂ son las ecuaciones de movimiento y la simetrĂa gauge, nuestro marco se extiende naturalmente a cálculos de un bucle en ciertas teorĂas de campo no lagrangianas. © 2023 autores. Publicado por la American Physical Society.
Keywords
Computation theory, Gages, Iterative methods, current, Classical equation, Equation of motion, Gauge symmetries, Lagrangian field theory, Multiparticles, Quantum field theory, Recursive methods, Tree level
Citation
Gomez, 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