Adding the terms quadratic in the curvature to the Einstein-Hilbert action renders gravity
renormalizable. This property is preserved in the presence of the most general …

We review (and extend) the analysis of general theories of all interactions (gravity included)
where the mass scales are due to dimensional transmutation. Quantum consistency requires …

First-order phase transitions, which take place when the symmetries are predominantly
broken (and masses are then generated) through radiative corrections, produce observable …

We present a new understanding of the unstable ghostlike resonance which appears in
theories such as quadratic gravity and Lee-Wick type theories. Quantum corrections make …

Abstract We study the Standard Model (SM) in Weyl conformal geometry. This embedding is
truly minimal with no new fields beyond the SM spectrum and Weyl geometry. The action …

In theories with higher time derivatives, the Hamiltonian analysis of Ostrogradsky predicts an
instability. However, this Hamiltonian treatment does not correspond the way that these …

In dimension-less theories of dynamical generation of the weak scale, the Universe can
undergo a period of low-scale inflation during which all particles are massless and undergo …

A bstract The “fakeon” is a fake degree of freedom, ie a degree of freedom that does not
belong to the physical spectrum, but propagates inside the Feynman diagrams. Fakeons can …

We present a comparative study of inflation in two theories of quadratic gravity with gauged
scale symmetry:(1) the original Weyl quadratic gravity and (2) the theory defined by a similar …

In the framework of classical scale invariance, we consider quadratic gravity in the Palatini
formalism and investigate the inflationary predictions of the theory. Our model corresponds …