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Federico Greco

Publications and source records attributed to Federico Greco.

7 recordsLinked to original sources
arXiv2026

Emergent dark sector in group field theory cosmology

We develop an analytical treatment of the emergent cosmological dynamics induced by local polynomial interactions in a deparametrised group field theory model, moving beyond the usual non-interacting approximation. For a single field mode with quartic and sextic couplings we obtain a closed-form generalised Friedmann equation within a controlled Gaussian regime. The dynamics preserves the quantum bounce while generating effective dark matter and dark energy contributions as collective quantum-geometric phenomena, providing the first derivation of both components from a single model. Matching the resulting dark-energy-to-dark-matter density ratio to observations places concrete phenomenological constraints on the fundamental theory, linking the cosmic coincidence problem directly to the underlying quantum gravity dynamics. Our results extend to arbitrary even polynomial interactions, establishing a systematic dictionary between microscopic interaction orders and effective equations of state.

gr-qc↗
arXiv2026

Emergent scalar field dynamics in a cosmological spacetime from GFT quantum gravity

We derive an effective scalar field theory for matter in group field theory condensate cosmology, starting from the fundamental quantum-gravity dynamics in a fully relational framework and encompassing both early- and late-universe regimes. The collective hydrodynamics of the underlying quantum geometry allows us to reconstruct both the homogeneous cosmological dynamics of matter and geometry and an inhomogeneous local field-theory description. Localization in space and time is defined relationally with respect to a material reference frame. At the homogeneous level, we obtain a modified scalar field theory on the emergent FLRW spacetime selected by the condensate. It recovers the standard dynamics of a massless scalar field in the late-time general-relativistic regime while retaining quantum-gravity corrections near the cosmological bounce. At the perturbative level, scalar inhomogeneities obey an effective wave equation that carries signatures of the underlying quantum-gravity microstructure. In the early-universe regime, this equation exhibits a modified dispersion relation with both dispersive and dissipative contributions. These corrections provide a concrete avenue for identifying phenomenological signatures of quantum gravity directly from a fundamental quantum-gravity framework.

gr-qc↗
arXiv2026

Gauge vs (hidden) physical symmetries of FLRW cosmologies

In generally covariant theories evolution in coordinate time is a gauge transformation, so that a symmetry made manifest in a gauge-fixed description need not be a symmetry of the physical dynamics. Deparametrisation, in turn, removes gauge symmetries but may hide physical symmetries, in particular those dependent on the chosen physical clock. We study the relation between gauge and (hidden) physical symmetries in flat FLRW geometry coupled to an arbitrary number $n$ of free massless scalar fields. We show that conformal Killing vectors of the minisuperspace metric generate conserved charges which are Dirac observables--hence gauge-invariant--and whose Poisson algebra is the maximal conformal algebra $\mathfrak{conf}(n,1)\simeq\mathfrak{so}(n+1,2)$, extending previous single-field results to arbitrary $n$. We then revisit the Eisenhart-Duval lift in a family of gauges and show that the manifest symmetry algebra is gauge dependent, enlarging to the Schr\"odinger algebra (which is thus not a physical symmetry) in the distinguished harmonic gauge where the gauge-fixed minisuperspace metric becomes flat. Further, deparametrisation maps the lifted charges to gauge-invariant Dirac observables, which always realise a subalgebra of the conformal algebra and reproduce it in full in the harmonic gauge. These results establish a framework for separating gauge from physical symmetries in minisuperspace models, recovering charges to which reduced phase-space descriptions are structurally blind, and remaining applicable in the presence of potentials.

gr-qc↗
arXiv2025

Production of gravitational waves by inflationary transitions in aligned natural inflation

The original axion natural inflation model predicts a tensor-to-scalar ratio exceeding experimental limits. Conversely, in aligned axion inflation, inflation can proceed along trajectories emerging from near a saddle point of the two-field potential and ending through an instability in the orthogonal direction. Such solutions satisfy present observational limits and will be tested by future CMB experiments. Previous studies have suggested the possibility of two distinct inflationary stages separated by a transition characterized by rapid oscillations of the fields. In this work, we demonstrate that the existence of these two stages is a generic feature of the model. We explore a possible phenomenological signature of the transition when a U(1) gauge field is coupled to the axions, namely, the production of gravitational waves (GWs) sourced by gauge quanta generated during the transition. This mechanism produces a feature similar to those seen in spectator axion models or axion inflation with appropriate potentials, i.e. a strongly scale-dependent power spectrum. The scale at which the GW spectrum is produced is determined by the duration of the second inflationary phase. Consequently, the spectrum may peak at different frequencies, potentially detectable by future GW experiments.

astro-ph.CO↗
arXiv2024

Analytic results in aligned axion inflation

The original model of axion natural inflation produces a tensor-to-scalar ratio above the experimental limit. Aligned axion inflation admits inflationary trajectories that originate near a saddle point of the two-field potential, and terminate due to the instability of the orthogonal direction. The phenomenology of these solutions is within the current constraints, and a range of parameters will be probed by the next stage CMB experiments. We provide the analytic solution for these trajectories and very compact analytic expressions for the associated phenomenology. For parameters leading to the observed value for the scalar spectral tilt the extension of the inflationary trajectory is sub-Planckian. However, one eigenvalue of the axion kinetic matrix (in the basis that diagonalizes the potential) is trans-Planckian. Finally, we discuss the post-inflationary evolution after the instability. In some cases, the fields reach a second inflationary valley, connected to a minimum. Multiple stages of inflation might be a more general occurrence in multiple-field inflationary models with trajectories starting next to critical points.

astro-ph.CO↗
arXiv2021

Gamma-matrices: a new class of simultaneously diagonalizable matrices

In order to precondition Toeplitz systems, we present a new class of simultaneously diagonalizable real matrices, the Gamma-matrices, which include both symmetric circulant matrices and a subclass of the set of all reverse circulant matrices. We define some algorithms for fast computation of the product between a Gamma-matrix and a real vector and between two Gamma-matrices. Moreover, we illustrate a technique of approximating a real symmetric Toeplitz matrix by a Gamma-matrix, and we show that the eigenvalues of the preconditioned matrix are clustered around zero with the exception of at most a finite number of terms.

math.NA↗