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A Type of Unifying Relation in (A)dS Spacetime

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arxiv 2210.15411 v5 pith:5ZTDL6AA submitted 2022-10-27 hep-th gr-qc

A Type of Unifying Relation in (A)dS Spacetime

classification hep-th gr-qc
keywords unifyingflatrelationscasediscussresultsspacetimetype
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Unifying relations of amplitudes are elegant results in flat spacetime, but the research on these in (A)dS case is not very rich. In this paper, we discuss a type of unifying relations in (A)dS by using Berends-Giele currents. By taking the flat limit, we also get a semi-on-shell way to prove the unifying relations in the flat case. We also discuss the applications of our results in cosmology.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Loop integrals in de Sitter spacetime: The parity-split IBP system and $\mathrm{d}\log$-form differential equations

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    A parity-split IBP system for n-propagator families in de Sitter space is identified, along with a conjecture that dlog-form differential equations extend to dS integrands with Hankel functions, verified for the one-l...

  2. The bi-adjoint scalar $\ell$-loop planar integrand recursion and graded inverse variables

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    A new formalism with graded inverse variables refines the ℓ-loop planar integrand recursion in bi-adjoint scalar theory, allowing graph factors and symmetry factors to be read directly from monomials.

  3. Systematic approach to $\ell$-loop planar integrands from the classical equation of motion

    hep-th 2025-04 unverdicted novelty 6.0

    A recursion formula for ℓ-loop planar integrands in colored QFTs is derived from the classical equation of motion via comb components and loop kernels.

  4. Off-shell recursion for all-loop planar integrands in Yang-Mills theory

    hep-th 2026-04 unverdicted novelty 5.0

    Yang-Mills planar loop integrands admit an off-shell recursion that organizes the pure-gluon sector into matrix form and incorporates ghost contributions, yielding a concrete two-loop strategy.