Universal Nonminimal Coupling-to-Starobinsky Matching and a Single-Field Attractor

Fuente: arXiv
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Autori principali: Arapoğlu, A. Savaş, Çağan, Sermet, Guleryuz, Omer, Senisik, Cemal Berfu
Natura: Preprint
Pubblicazione: 2025
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author Arapoğlu, A. Savaş
Çağan, Sermet
Guleryuz, Omer
Senisik, Cemal Berfu
author_facet Arapoğlu, A. Savaş
Çağan, Sermet
Guleryuz, Omer
Senisik, Cemal Berfu
contents We establish an off-shell commutativity theorem in 4D parity-even quadratic gravity that the Hubbard-Stratonovich/Legendre lifts, algebraic elimination of auxiliaries, including the torsionless Palatini connection, and Jordan-Einstein Weyl rescalings commute at the action level up to boundary terms. This yields a frame-independent characterization of the propagating degrees of freedom and isolates a universal scalaron EFT in the metric branch, while clarifying the algebraic nature of the Palatini $f(R)$ scalar. We obtain, as a result, a frame-universal matching from the generic nonminimal couplings to a positive $R^2$ sector and a quantitative single-field attractor bound, enhanced by a $1/ΔN$ selection term, providing sharp and falsifiable CMB targets.
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publishDate 2025
record_format arxiv
spellingShingle Universal Nonminimal Coupling-to-Starobinsky Matching and a Single-Field Attractor
Arapoğlu, A. Savaş
Çağan, Sermet
Guleryuz, Omer
Senisik, Cemal Berfu
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We establish an off-shell commutativity theorem in 4D parity-even quadratic gravity that the Hubbard-Stratonovich/Legendre lifts, algebraic elimination of auxiliaries, including the torsionless Palatini connection, and Jordan-Einstein Weyl rescalings commute at the action level up to boundary terms. This yields a frame-independent characterization of the propagating degrees of freedom and isolates a universal scalaron EFT in the metric branch, while clarifying the algebraic nature of the Palatini $f(R)$ scalar. We obtain, as a result, a frame-universal matching from the generic nonminimal couplings to a positive $R^2$ sector and a quantitative single-field attractor bound, enhanced by a $1/ΔN$ selection term, providing sharp and falsifiable CMB targets.
title Universal Nonminimal Coupling-to-Starobinsky Matching and a Single-Field Attractor
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2512.23401