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arXiv · 2603.10380

Polymerized spacetime dynamics with multifield source: Unraveling the pre-inflationary Universe

Divya Gupta·Manabendra Sharma·Gustavo S. Vicente·Rudnei O. Ramos·Anzhong Wang
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Abstract

We study a multifield model in loop quantum cosmology for a maximally symmetric spacetime governed by the Einstein-Hilbert action minimally coupled to scalar fields. Using a Legendre transformation, we formulate the Hamiltonian dynamics in canonically equivalent geometrodynamical and Yang-Mills-type representations, incorporating nontrivial couplings through a geometric structure on the multifield configuration space. Implementing the $\bar{\mu}$-scheme polymerization, we obtain the loop-quantum-corrected Friedmann equations. By focusing on the two-field models as an example, we analyze the effective dynamics for specific potentials. The \textit{quantum bouncing, transition, and slow-roll inflationary} phases are investigated numerically, and viability of the models is assessed by evaluating the number of e-folds during the inflationary phase for certain given initial conditions. The global behavior of the background evolution is further examined through linear stability and dynamical-systems analyses.

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Divya Gupta, Manabendra Sharma, Gustavo S. Vicente, Rudnei O. Ramos, Anzhong Wang. 2026-03-11. Polymerized spacetime dynamics with multifield source: Unraveling the pre-inflationary Universe. https://doi.org/10.1103/6f4f-76ty

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