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Effective field theories and cosmological scattering equations

Connor Armstrong, Humberto Gomez, Renann Lipinski Jusinskas, Arthur Lipstein, Jiajie Mei

2022Journal of High Energy Physics22 citationsDOIOpen Access PDF

Abstract

A bstract We propose worldsheet formulae for wavefunction coefficients of the massive non-linear sigma model (NLSM), scalar Dirac-Born-Infeld (DBI), and special Galileon (sGal) theories in de Sitter momentum space in terms of the recently proposed cosmological scattering equations constructed from conformal generators in the future boundary. The four-point integrands are assembled from simple building blocks and we identify a double copy prescription mapping the NLSM wavefunction coefficient to the DBI and sGal wavefunction coefficients, including mass deformations and curvature corrections. Finally, we compute the soft limits of these wavefunction coefficients and find that they can be written in terms of boundary conformal generators acting on contact diagrams.

Topics & Concepts

PhysicsWorldsheetWave functionCurvatureMathematical physicsConformal mapScalar fieldScalar (mathematics)Quantum electrodynamicsPosition and momentum spaceAnti-de Sitter spaceClassical mechanicsQuantum mechanicsTheoretical physicsString theoryMathematical analysisGeometryString field theoryMathematicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories
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