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In [1,2] it was shown that the subleading soft photon theorem in tree level amplitudes in massless QED is equivalent to a new class of symmetries of the theory parameterized by a vector field on the celestial sphere. In this paper, we…

高能物理 - 理论 · 物理学 2018-07-04 Alok Laddha , Prahar Mitra

In this work the asymptotic structure of space-time and the main properties of the Bondi-Metzner-Sachs (BMS) group, which is the asymptotic symmetry group of asymptotically flat space-times, are analysed. Every chapter, except the fourth,…

广义相对论与量子宇宙学 · 物理学 2019-01-24 Francesco Alessio

We define the asymptotic flatness and discuss asymptotic symmetry at null infinity in arbitrary dimensions using the Bondi coordinates. To define the asymptotic flatness, we solve the Einstein equations and look at the asymptotic behavior…

广义相对论与量子宇宙学 · 物理学 2011-09-01 Kentaro Tanabe , Shunichiro Kinoshita , Tetsuya Shiromizu

In this paper we take an approach similar to that in [M] to establish a positive mass theorem for asymptotically hyperbolic spin manifolds admitting corners along a hypersurface. The main analysis uses an integral representation of a…

数学物理 · 物理学 2009-11-13 Vincent Bonini , Jie Qing

We study asymptotic charges for symmetric massless higher-spin fields on Anti de Sitter backgrounds of arbitrary dimension within the canonical formalism. We first analyse in detail the spin-3 example: we cast Fronsdal's action in…

高能物理 - 理论 · 物理学 2016-11-23 Andrea Campoleoni , Marc Henneaux , Sergio Hörtner , Amaury Leonard

Starting from the massless form factor expansion for the two-point dynamical correlation functions obtained recently, I extract the long-distance and large-time asymptotics of these correlators. The analysis yields the critical exponents…

数学物理 · 物理学 2019-09-04 Karol K. Kozlowski

We investigate on the existence of smooth complete hypersurface with prescribed Weingarten curvature and asymptotic boundary at infinity in hyperbolic space under the assumption that there exists an asymptotic subsolution. We give an…

微分几何 · 数学 2022-07-01 Zhenan Sui , Wei Sun

We show a spacetime positive mass theorem for asymptotically flat initial data sets with a noncompact boundary. We develop a mass type invariant and a boundary dominant energy condition. Our proof is based on spinors.

微分几何 · 数学 2023-04-12 Xiaoxiang Chai

The paper considers the stationary Poisson Boolean model with spherical grains and proposes a family of nonparametric estimators for the radius distribution. These estimators are based on observed distances and radii, weighted in an…

概率论 · 数学 2013-01-09 Daniel Hug , Günter Last , Zbyněk Pawlas , Wolfgang Weil

In this article, we prove the Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary whose asymptotic region is modelled on a half-space. Such spaces were initially considered by Almaraz, Barbosa and de…

微分几何 · 数学 2020-01-15 Thomas Koerber

We prove the asymptotic functional Poisson laws in the total variation norm and obtain estimates of the corresponding convergence rates for a large class of hyperbolic dynamical systems. These results generalize the ones obtained before in…

动力系统 · 数学 2021-07-07 Leonid Bunimovich , Yaofeng Su

A systematic asymptotic expansion is developed for the gravitational wave degrees of freedom of a class of expanding, vacuum Gowdy cosmological spacetimes. In the wave map description of these models, the evolution of the gravitational wave…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Beverly K. Berger

We provide a microscopic model setting that allows us to readily access to the large-distance asymptotic behaviour of multi-point correlation functions in massless, one-dimensional, quantum models. The method of analysis we propose is based…

数学物理 · 物理学 2017-03-17 N. Kitanine , K. K. Kozlowski , J. M. Maillet , V. Terras

We argue that the free electron and positron can be considered as different, independent particles, each of which is characterized by the complete set of the Dirac plane waves. This completely symmetric representation of the particles makes…

综合物理 · 物理学 2016-06-21 A. I. Agafonov

As a Newtonian cosmological model the Vlasov-Poisson-Boltzmann system is considered, and a slightly modified Boltzmann equation, which describes the stability of an expanding universe, is derived. Asymptotic behaviour of solutions turns out…

数学物理 · 物理学 2016-08-24 Ho Lee

In Special Relativity, massless objects are characterized as either vacuum states or as radiation propagating at the speed of light. This distinction extends to General Relativity for asymptotically flat initial data sets (IDS) \((M^n, g,…

微分几何 · 数学 2025-10-17 Sven Hirsch , Hyun Chul Jang , Yiyue Zhang

Asymptotically flat spacetimes have been studied in five separate regions: future/past timelike infinity $i^\pm$, future/past null infinity $\mathcal{I}^\pm$, and spatial infinity $i^0$. We formulate assumptions and definitions such that…

广义相对论与量子宇宙学 · 物理学 2023-11-21 Geoffrey Compère , Samuel E. Gralla , Hongji Wei

An infinite number of physically nontrivial symmetries are found for abelian gauge theories with massless charged particles. They are generated by large $U(1)$ gauge transformations that asymptotically approach an arbitrary function…

高能物理 - 理论 · 物理学 2016-02-10 Temple He , Prahar Mitra , Achilleas P. Porfyriadis , Andrew Strominger

We revisit the problem of the existence of asymptotic massless boson fields in quantum field theory. The well-known construction of such fields by Buchholz [2], [4] is based on locality and the existence of vacuum vector, at least in…

数学物理 · 物理学 2018-06-04 Paweł Duch , Andrzej Herdegen

We use conformal geometry methods and the construction of Friedrich's cylinder at spatial infinity to study the propagation of spin-$0$ fields (solutions to the wave equation) on $n$-dimensional Minkowski spacetimes in a neighbourhood of…

广义相对论与量子宇宙学 · 物理学 2025-12-01 Edgar Gasperín , Mariem Magdy , Filipe C. Mena