A Graphical Coaction for FRW Wavefunction Coefficients
High Energy Physics - Theory
2026-03-27 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We show that the wavefunction of the universe in theories of conformally coupled scalars in power-law Friedmann-Robertson-Walker (FRW) cosmologies satisfies a graphical coaction, by means of which we can understand its complete analytic structure in terms of the acyclic minors of Feynman graphs. Our construction extends to all particle multiplicities and any loop order, and if we isolate certain weight-one contributions, it reproduces the ``kinematic flow'' that encodes the differential equation of the wavefunction coefficients. Similarly, any discontinuity of the wavefunction coefficient is easily extracted from the coaction.
Cite
@article{arxiv.2603.25703,
title = {A Graphical Coaction for FRW Wavefunction Coefficients},
author = {Andrew McLeod and Andrzej Pokraka and Lecheng Ren},
journal= {arXiv preprint arXiv:2603.25703},
year = {2026}
}
Comments
5+2 pages