Polymerized spacetime dynamics with multi-field source: unraveling the pre-inflationary Universe
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912960266371072 |
|---|---|
| author | Gupta, Divya Sharma, Manabendra Vicente, Gustavo S. Ramos, Rudnei O. Wang, Anzhong |
| author_facet | Gupta, Divya Sharma, Manabendra Vicente, Gustavo S. Ramos, Rudnei O. Wang, Anzhong |
| contents | We study a multi-field 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 multi-field configuration space. Implementing the $\barμ$-scheme polymerization, we obtain the loop-quantum-corrected Friedmann equations. By focusing on the two-field model 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10380 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Polymerized spacetime dynamics with multi-field source: unraveling the pre-inflationary Universe Gupta, Divya Sharma, Manabendra Vicente, Gustavo S. Ramos, Rudnei O. Wang, Anzhong General Relativity and Quantum Cosmology We study a multi-field 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 multi-field configuration space. Implementing the $\barμ$-scheme polymerization, we obtain the loop-quantum-corrected Friedmann equations. By focusing on the two-field model 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. |
| title | Polymerized spacetime dynamics with multi-field source: unraveling the pre-inflationary Universe |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2603.10380 |