Scholarlink

<p>The universality of gravitational scattering at low energies and large distances encoded in soft theorems and memory effects can be understood from symmetries. In four-dimensional asymptotically flat spacetimes the infinite enhancement of translations, extending the Poincaré group to the BMS group, is the symmetry underlying Weinberg’s soft graviton theorem and the gravitational displacement memory effect. Beyond this leading infrared triangle, loop corrections alter their nature by introducing logarithms in the soft expansion and late time tails to the memory, and this persists in the classical limit. In this work we give the first complete description of an ‘infrared triangle’ where the long-range nature of gravitational interactions is accounted for. Building on earlier results [<CitationRef CitationID="CR1">1</CitationRef>] where we derived a novel conservation law associated to the infinite dimensional enhancement of Lorentz transformations to superrotations, we prove here its validity to all orders in the gravitational coupling and show that it implies the classical logarithmic soft graviton theorem of Saha-Sahoo-Sen [<CitationRef CitationID="CR2">2</CitationRef>]. We furthermore extend the formula for the displacement memory and its tail from particles to fields, thus completing the classical superrotation infrared triangle.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The classical super-rotation infrared triangle. Classical logarithmic soft theorem as conservation law in gravity

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年4月17日

查看全文
  • Sangmin Choi,
  • Alok Laddha,
  • Andrea Puhm

摘要

The universality of gravitational scattering at low energies and large distances encoded in soft theorems and memory effects can be understood from symmetries. In four-dimensional asymptotically flat spacetimes the infinite enhancement of translations, extending the Poincaré group to the BMS group, is the symmetry underlying Weinberg’s soft graviton theorem and the gravitational displacement memory effect. Beyond this leading infrared triangle, loop corrections alter their nature by introducing logarithms in the soft expansion and late time tails to the memory, and this persists in the classical limit. In this work we give the first complete description of an ‘infrared triangle’ where the long-range nature of gravitational interactions is accounted for. Building on earlier results [1] where we derived a novel conservation law associated to the infinite dimensional enhancement of Lorentz transformations to superrotations, we prove here its validity to all orders in the gravitational coupling and show that it implies the classical logarithmic soft graviton theorem of Saha-Sahoo-Sen [2]. We furthermore extend the formula for the displacement memory and its tail from particles to fields, thus completing the classical superrotation infrared triangle.