Browsing by Author "Lipinski Jusinskas, Renann"
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Item Cosmological Scattering Equations(2021) Gomez, Humberto; Lipinski Jusinskas, Renann; Lipstein, ArthurWe propose a world sheet formula for tree-level correlation functions describing a scalar field with arbitrary mass and quartic self-interaction in de Sitter space, which is a simple model for inflationary cosmology. The correlation functions are located on the future boundary of the spacetime and are Fourier-transformed to momentum space. Our formula is supported on mass-deformed scattering equations involving conformal generators in momentum space and reduces to the CHY formula for φ4 amplitudes in the flat space limit. Using the global residue theorem, we verify that it reproduces the Witten diagram expansion at four and six points, and sketch the extension to n points.Item Multiparticle Solutions to Einstein’s Equations(2021-10-29) Gomez, Humberto; Lipinski Jusinskas, RenannIn this Letter, we present the first multiparticle solutions to Einstein’s field equations in the presence of matter. These solutions are iteratively obtained via the perturbiner method, which can circumvent gravity’s infinite number of vertices with the definition of a multiparticle expansion for the inverse spacetime metric as well. Our construction provides a simple layout for the computation of tree level field theory amplitudes in spacetime dimensions involving any number of gravitons and matter fields, with or without supersymmetry. © 2021 Published by the American Physical SocietyItem New recursion relations for tree-level correlators in anti-de Sitter spacetime(2022-12-15) Armstrong, Connor; Gomez, Humberto; Lipinski Jusinskas, Renann; Lipstein, Arthur; Mei, JiajieWe present for the first time classical multiparticle solutions in anti-de Sitter space (AdS) involving scalars, gluons, and gravitons. They are recursively defined through multiparticle currents which reduce to Berends-Giele currents in the flat space limit. This construction exposes a compact definition of tree-level boundary correlators using a general prescription that removes unphysical boundary contributions. Similarly to the flat space perturbiner, a convenient gauge choice leads to a scalar basis for all degrees of freedom, while the tensor structure is exclusively captured by field theory vertices. This provides a fully automated way to compute AdS boundary correlators to any multiplicity and cosmological wave function coefficients after Wick rotating to de Sitter space.Item One-Loop N -Point Correlators in Pure Gravity(American Physical Society, 2025-03-20) Gomez, Humberto; Lipinski Jusinskas, Renann; Lopez rcos, Cristhiam; Quintero Vélez, AlexanderIn this Letter we propose a simple algebraic recursion for the complete one-loop integrands of 𝑁-graviton correlators. This formula automatically yields the correct symmetry factors of individual diagrams, taking into account both the graviton and the ghost loop, and seamlessly controlling the related combinatorics.Item One-Loop Off-Shell Amplitudes from Classical Equations of Motion(American Physical Society, 2023-02-24) Gomez, Humberto; Lipinski Jusinskas, Renann; Lopez Arcos, Cristhiam; Quintero Vélez, AlexanderIn 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.