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We provide a unified treatment of conformally soft Goldstone modes which arise when spin-one or spin-two conformal primary wavefunctions become pure gauge for certain integer values of the conformal dimension $\Delta$. This effort lands us…

High Energy Physics - Theory · Physics 2020-10-28 Laura Donnay , Sabrina Pasterski , Andrea Puhm

We study exponentiated soft exchange in $d+2$ dimensional gauge and gravitational theories using the celestial CFT formalism. These models exhibit spontaneously broken asymptotic symmetries generated by gauge transformations with…

High Energy Physics - Theory · Physics 2022-01-19 Daniel Kapec , Prahar Mitra

We consider massless scattering from the point of view of the position, momentum, and celestial bases. In these three languages different properties of physical processes become manifest or obscured. Within the soft sector, they highlight…

High Energy Physics - Theory · Physics 2022-07-06 Laura Donnay , Sabrina Pasterski , Andrea Puhm

We investigate the nature of infrared divergences for the free graviton and inflaton two-point functions in flat Friedman-Lema\^{\i}tre-Robertson-Walker spacetime. These divergences arise because the momentum integral for these two-point…

General Relativity and Quantum Cosmology · Physics 2018-05-04 Atsushi Higuchi , Nicola Rendell

Gluon amplitudes at most-subleading order in the $1/N$ expansion share a remarkable simplicity with graviton amplitudes: collinear divergences are completely absent in both and, as a consequence, their full IR behavior arises from soft…

High Energy Physics - Theory · Physics 2022-02-09 Horatiu Nastase , Francisco Rojas , Carlos Rubio

We construct a two-dimensional action on the celestial sphere that describes the infrared sector of Abelian gauge and gravitational theories in four dimensions. In particular, we use the holographic model to reproduce (1) antipodal matching…

High Energy Physics - Theory · Physics 2026-03-17 Sangmin Choi , Prahar Mitra

We discuss the infrared divergences that appear to plague cosmological perturbation theory. We show that within the stochastic framework they are regulated by eternal inflation so that the theory predicts finite fluctuations. Using the…

Astrophysics · Physics 2009-06-23 K. Enqvist , S. Nurmi , D. Podolsky , G. I. Rigopoulos

Celestial holography proposes a duality between gravitational scattering in asymptotically flat space-time and a conformal field theory living on the celestial sphere. Its dictionary relates the infinite dimensional space-time symmetry…

High Energy Physics - Theory · Physics 2022-08-24 Sabrina Pasterski , Herman Verlinde

The soft limits of scattering amplitudes have been extensively studied due to their essential role in the computation of physical observables in collider physics. The universal factorisation that occurs in these kinematic limits has been…

High Energy Physics - Theory · Physics 2022-12-14 Tristan McLoughlin , Andrea Puhm , Ana-Maria Raclariu

We perform theoretical and numerical studies of the full relativistic two-point galaxy correlation function, considering the linear-order scalar and tensor perturbation contributions and the wide-angle effects. Using the gauge-invariant…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-18 Fulvio Scaccabarozzi , Jaiyul Yoo , Sang Gyu Biern

We explore conformal primary wavefunctions for all half integer spins up to the graviton. Half steps are related by supersymmetry, integer steps by the classical double copy. The main results are as follows: we 1) introduce a convenient…

High Energy Physics - Theory · Physics 2021-10-27 Sabrina Pasterski , Andrea Puhm

Celestial amplitudes represent 4D scattering of particles in boost, rather than the usual energy-momentum, eigenstates and hence are sensitive to both UV and IR physics. We show that known UV and IR properties of quantum gravity translate…

High Energy Physics - Theory · Physics 2021-09-01 Nima Arkani-Hamed , Monica Pate , Ana-Maria Raclariu , Andrew Strominger

The pseudo-conformal scenario is an alternative to inflation in which the early universe is described by an approximate conformal field theory on flat, Minkowski space. Some fields acquire a time-dependent expectation value, which breaks…

High Energy Physics - Theory · Physics 2022-01-12 Kurt Hinterbichler , Austin Joyce , Justin Khoury

The leading soft photon theorem implies that four-dimensional scattering amplitudes are controlled by a two-dimensional (2D) $U(1)$ Kac-Moody symmetry that acts on the celestial sphere at null infinity ($\mathcal{I}$). This celestial $U(1)$…

High Energy Physics - Theory · Physics 2019-09-11 Elizabeth Himwich , Andrew Strominger

Celestial diamonds encode the global conformal multiplets of the conformally soft sector, elucidating the role of soft theorems, symmetry generators and Goldstone modes. Upon adding supersymmetry they stack into a pyramid. Here we treat the…

High Energy Physics - Theory · Physics 2022-01-05 Yorgo Pano , Sabrina Pasterski , Andrea Puhm

We consider the infrared factorisation of non-abelian multi-particle scattering amplitudes, and we study the form of the universal colour operator responsible for infrared divergences, when expressed in terms of coordinates on the…

High Energy Physics - Theory · Physics 2021-06-16 Lorenzo Magnea

We investigate nonperturbative infrared effects for the O(N) linear sigma model in de Sitter space using the two-particle irreducible effective action at the Hartree truncation level. This approximation resums the infinite series of…

High Energy Physics - Theory · Physics 2013-09-23 Takashi Arai

We transform superstring scattering amplitudes into the correlation functions of primary conformal fields on two-dimensional celestial sphere. The points on celestial sphere are associated to the asymptotic directions of (light-like)…

High Energy Physics - Theory · Physics 2018-10-17 Stephan Stieberger , Tomasz R. Taylor

We identify an eikonal regime in celestial CFT$_2$ in which massless 2-2 scattering is dominated by t-channel exchange. We derive a formula for the celestial amplitude that resums exchanges of arbitrary integer spin to all orders in the…

High Energy Physics - Theory · Physics 2022-06-22 Leonardo Pipolo de Gioia , Ana-Maria Raclariu

In our previous paper (Phys. Rev. D 94, 104030 (2016)), inspired by the work of Allen and Turyn (Nucl. Phys. B 292, 813 (1987)), we expressed the graviton two-point function in terms of maximally symmetric bitensors in de Sitter spacetime.…

General Relativity and Quantum Cosmology · Physics 2017-04-04 Surena Rahbardehghan , Hamed Pejhan
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