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Unitarity of time evolution is one of the basic principles constraining physical processes. Its consequences in the perturbative Bunch-Davies wavefunction in cosmology have been formulated in terms of the cosmological optical theorem. In…

高能物理 - 理论 · 物理学 2024-05-16 Soner Albayrak , Paolo Benincasa , Carlos Duaso Pueyo

Flat-space physics is highly constrained by basic principles such as Lorentz invariance, locality, unitarity and causality. This is neatly seen in the structure of scattering amplitudes. For processes occurring in an expanding background we…

高能物理 - 理论 · 物理学 2022-03-31 Paolo Benincasa

We provide a general analysis of the asymptotic behaviour of perturbative contributions to observables in arbitrary power-law FRW cosmologies, indistinctly the Bunch-Davies wavefunction and cosmological correlators. We consider a large…

高能物理 - 理论 · 物理学 2025-08-14 Paolo Benincasa , Francisco Vazão

These lectures introduce the notion of asymptotic observables, which are classes of measurable quantities predicted by quantum field theory. In gapped theories with trivial infrared dynamics, these include scattering amplitudes, expectation…

高能物理 - 理论 · 物理学 2025-02-19 Simon Caron-Huot , Mathieu Giroux , Holmfridur S. Hannesdottir , Sebastian Mizera , Celina Pasiecznik

The way we organise perturbation theory is of fundamental importance both for computing the observables of relevance and for extracting fundamental physics out of them. If on one hand the different ways in which the perturbative observables…

高能物理 - 理论 · 物理学 2022-03-16 Paolo Benincasa , William J. Torres Bobadilla

Understanding the loop corrections to cosmological observables is of paramount importance for having control on the quantum consistency of a theory in an expanding universe as well as for phenomenological reasons. In the present work, we…

高能物理 - 理论 · 物理学 2025-08-21 Paolo Benincasa , Giacomo Brunello , Manoj K. Mandal , Pierpaolo Mastrolia , Francisco Vazão

We review the most recent progress in our understanding of quantum mechanical observables in cosmology in the perturbative regime. It relies on an approach that considers them directly as functions of the data at the space-like boundary at…

高能物理 - 理论 · 物理学 2022-12-07 Paolo Benincasa

The physical information encoded in the cosmological late-time wavefunction of the universe is tied to its singularity structure and its behaviour as such singularities are approached. One important singularity is identified by the…

高能物理 - 理论 · 物理学 2018-11-07 Paolo Benincasa

We uncover a combinatorial structure governing the differential equations satisfied by wavefunction coefficients of scalar fields with generic masses in de Sitter space. Using an integral representation of the massive mode functions, we…

高能物理 - 理论 · 物理学 2026-04-13 Daniel Baumann , Austin Joyce , Hayden Lee , Kamran Salehi Vaziri

The physical principles of causality and unitarity put strong constraints on the analytic structure of the flat-space S-matrix. In particular, these principles give rise to the Steinmann relations, which require that the double…

高能物理 - 理论 · 物理学 2021-01-04 Paolo Benincasa , Andrew J. McLeod , Cristian Vergu

We use two large collections of observational data of supernovae type Ia (SNe Ia) to investigate the polytropic Universe including the situation with a varying cosmological constant; details of our new derivations are presented. We examine…

广义相对论与量子宇宙学 · 物理学 2018-01-17 Ahmet M. Oztas , Emre Dil , Elif Dil , Michael L. Smith

The concepts of Lorentz invariance of local (flat space) physics, and unitarity of time evolution and the S-matrix, are famously rigid and robust, admitting no obvious consistent theoretical deformations, and confirmed to incredible…

高能物理 - 理论 · 物理学 2018-11-06 Nima Arkani-Hamed , Paolo Benincasa

By directly probing the initial conditions of our universe, cosmological surveys offer us a unique observational handle on quantum field theory in curved spacetime with dynamical gravity and might even allow us to glean information about a…

These lecture notes explain how classical gravitational physics emerges from scattering amplitudes. We emphasize the role of different kinematic regimes in probing various aspects of bound and unbound problems, as illustrated by the…

We will cover the basics of several complex variables in 4 lectures: Basic properties of holomorphic functions in several variables, the notion of pseudoconvexity, CR functions and CR geometry, and the $\bar\partial$-problem. The main…

We extend the investigation of the structure of the late-time wavefunction of the universe to a class of toy models of scalars with time-dependent masses and polynomial couplings, which contains general massive scalars in FRW cosmologies.…

高能物理 - 理论 · 物理学 2019-09-06 Paolo Benincasa

The next decade will feature an abundance of novel cosmological data, while many fundamental questions about inflation remain. Given this, there is ample need for maximally efficient calculations, especially in non-standard scenarios for…

广义相对论与量子宇宙学 · 物理学 2023-05-10 Panagiotis Christeas , Logan Thomas

The future detection and measurement of the diffuse neutrino supernova background will shed light on the rate of supernovae events in the Universe, the star formation rate and the neutrino spectrum from each supernova. Little has been said…

宇宙学与河外天体物理 · 物理学 2018-05-09 J. Barranco , Argelia Bernal , D. Delepine

This article describes the theory of cosmological perturbations around a homogeneous and anisotropic universe of the Bianchi I type. Starting from a general parameterisation of the perturbed spacetime a la Bardeen, a complete set of gauge…

天体物理学 · 物理学 2008-11-26 Thiago S. Pereira , Cyril Pitrou , Jean-Philippe Uzan

We propose a new framework to represent the perturbative S-matrix which is well-defined for all quantum field theories of massless particles, constructed from tree-level amplitudes and integrable term-by-term. This representation is derived…

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