Report
Gravitational memory and Ward identities in the local detector frame
| العنوان: | Gravitational memory and Ward identities in the local detector frame |
|---|---|
| المؤلفون: | De Luca, Valerio, Khoury, Justin, Wong, Sam S. C. |
| سنة النشر: | 2024 |
| المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology, High Energy Physics - Theory |
| الوصف: | Gravitational memory, which describes the permanent shift in the strain after the passage of gravitational waves, is directly related to Weinberg's soft graviton theorems and the Bondi-Metzner-Sachs (BMS) symmetry group of asymptotically flat space-times. In this work, we provide an equivalent description of the phenomenon in local coordinates around gravitational wave detectors, such as transverse-traceless (TT) gauge. We show that gravitational memory is encoded in large residual diffeomorphisms in this gauge, which include time-dependent anisotropic spatial rescalings, and prove their equivalence to BMS transformations when translated to TT gauge. We then derive the associated Ward identities and associated soft theorems, for both scattering amplitudes and equal-time (in-in) correlation functions, and explicitly check their validity for planar gravitational waves. The in-in identities are recognized as the flat space analogue of the well-known inflationary consistency relations. Comment: 40 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2412.12273 |
| رقم الانضمام: | edsarx.2412.12273 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |