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PreprintCC BY-NC-ND 4.0arXiv

Finite-time memory detectors and fully constraining Faddeev-Kulish dressings in QED and gravity

Abstract

We show that for both QED and perturbative quantum gravity, time dependent Faddeev-Kulish dressings can be fully constrained either by symmetry, or by demanding that they reproduce the correct outgoing classical memory contribution. For gravity, we show that using this dressing to construct finite-time Fock spaces allows us to recover both the first order gravitational memory, as well as higher order Christodoulou contributions from the gravitational field. We explain how these higher order perturbative corrections arise in inclusive in-in calculations.

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BibTeX
@misc{oertel2026finitetime,
  title = {{Finite-time memory detectors and fully constraining Faddeev-Kulish dressings in QED and gravity}},
  author = {Brett Oertel},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2605.06774},
  eprint = {2605.06774},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.06774},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Finite-time memory detectors and fully constraining Faddeev-Kulish dressings in QED and gravity
AU  - Brett Oertel
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2605.06774
UR  - https://arxiv.org/abs/2605.06774
AB  - We show that for both QED and perturbative quantum gravity, time dependent Faddeev-Kulish dressings can be fully constrained either by symmetry, or by demanding that they reproduce the correct outgoing classical memory contribution. For gravity, we show that using this dressing to construct finite-time Fock spaces allows us to recover both the first order gravitational memory, as well as higher order Christodoulou contributions from the gravitational field. We explain how these higher order perturbative corrections arise in inclusive in-in calculations.
ER  -