arxiv: 2604.19866 · v2 · submitted 2026-04-21 · ✦ hep-th · hep-ph

Recognition: unknown

Asymptotic charges as detectors and the memory effect in massive QED and perturbative quantum gravity

Brett Oertel , Ian Moult , Sabrina Pasterski

Authors on Pith no claims yet

Pith reviewed 2026-05-10 01:32 UTC · model grok-4.3

classification ✦ hep-th hep-ph

keywords memory effectFaddeev-Kulish dressingsasymptotic chargesasymptotic symmetriesmassive QEDperturbative quantum gravityscattering Fock spacesinfrared effects

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The pith

Faddeev-Kulish dressings with full time dependence encode the memory effect in the in and out scattering Fock spaces of massive QED and perturbative quantum gravity, including a physical contribution to the memory eigenvalues.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper rederives the connection between asymptotic symmetries and the memory effect by treating asymptotic charges as detectors and incorporating the complete time dependence of Faddeev-Kulish dressings. This method confirms that the dressings correctly account for the memory effect in both incoming and outgoing dressed states while generalizing earlier results to include external hard gravitons. It also resolves discrepancies found in previous treatments that omitted the full time dependence. A reader would care because this clarifies how infrared effects and soft radiation are consistently included in scattering states, which is essential for defining physical observables in QED and quantum gravity. The work shows that the dressings themselves supply a measurable physical piece to the memory eigenvalues.

Core claim

Using detectors and including the full t dependence in Faddeev-Kulish dressings allows us to correct discrepancies in the literature and make new statements. We show that Faddeev-Kulish dressings correctly encode the memory effect in the 'in' and 'out' scattering Fock spaces. We find a physical contribution to the memory eigenvalues arising from the dressings in both cases.

What carries the argument

Fully time-dependent Faddeev-Kulish dressings applied within a detector formalism to extract asymptotic charges and memory eigenvalues.

If this is right

Memory eigenvalues receive an additional physical contribution from the Faddeev-Kulish dressings in both in and out states.
The memory effect is encoded directly in the dressed scattering Fock spaces for massive QED and perturbative quantum gravity.
Results hold when external hard gravitons are included, extending prior statements that omitted this case.
Discrepancies in earlier literature are resolved by retaining the full time dependence of the dressings.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

Infrared-safe S-matrix elements can be constructed directly from these dressed states without further corrections for memory effects.
The same detector method may apply to other asymptotic symmetries beyond the memory effect, such as supertranslations.
Classical gravitational wave observations of memory could be compared against the quantum eigenvalues computed here to test consistency.

Load-bearing premise

That the detector approach with complete time-dependent Faddeev-Kulish dressings captures every physical contribution to the memory effect without omissions when external hard gravitons are present.

What would settle it

A direct calculation of soft radiation patterns in a scattering process with known external hard gravitons that shows the memory eigenvalue differs from the value obtained when the dressing contribution is included.

read the original abstract

It has been shown that there are an infinite set of asymptotic symmetries in quantum gravity and QED, and this has been extended to dressed states in some cases. Here we rederive these statements in terms of detectors in order to clarify, confirm, and generalize these results to include external hard gravitons. Using detectors and including the full t dependence in Faddeev-Kulish dressings allows us to correct discrepancies in the literature and make new statements. We show that Faddeev-Kulish dressings correctly encode the memory effect in the 'in' and 'out' scattering Fock spaces. We find a physical contribution to the memory eigenvalues arising from the dressings in both cases.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

This paper rederives the memory effect from Faddeev-Kulish dressings using detectors, adds a physical term from time-dependent phases, and extends the setup to external hard gravitons while fixing prior mismatches.

read the letter

This paper rederives the link between asymptotic charges and the memory effect using detectors in massive QED and perturbative gravity. The key new points are the generalization to external hard gravitons and the identification of a physical contribution to memory eigenvalues coming from the time-dependent parts of the Faddeev-Kulish dressings. They also use this to correct some discrepancies in the literature. What stands out is the explicit construction of the detector operators and the calculation of memory eigenvalues by acting with the charges on the dressed in and out states. Keeping the full t-dependence in the dressings is what allows the extra term to appear naturally from the phase factors. The derivations are concrete and internally consistent in the perturbative expansion. The soft spots are that the treatment of hard gravitons stays limited to leading soft insertions already built into the dressing, and the work remains strictly perturbative without addressing non-perturbative effects or higher-order corrections. This keeps the new contribution somewhat contained. The paper targets researchers already working on infrared structure, soft theorems, and asymptotic symmetries in QED and gravity. A reader following dressed states or memory effects will get clear, usable clarifications from the detector approach. The math and derivations hold up on their own terms, so the paper deserves a serious referee even if some will want broader scope in revisions. I would send it out for peer review.

Referee Report

0 major / 2 minor

Summary. The paper rederives asymptotic symmetries and the memory effect in massive QED and perturbative quantum gravity using a detector formalism. Incorporating the full time dependence of Faddeev-Kulish dressings, it demonstrates that these dressings correctly encode the memory effect within the 'in' and 'out' scattering Fock spaces. A physical contribution to the memory eigenvalues is identified as arising directly from the dressings, and the analysis is generalized to include external hard gravitons while claiming to resolve discrepancies in the existing literature.

Significance. If the derivations hold, this provides a detector-based confirmation of how Faddeev-Kulish dressings capture the memory effect, offering a physical interpretation that clarifies the encoding of asymptotic charges in dressed states. The explicit inclusion of time dependence and extension to hard external particles strengthens the link between asymptotic symmetries and observable infrared effects in QED and gravity. The approach supplies explicit derivations of detector operators and memory eigenvalues obtained by acting with asymptotic charges on dressed states.

minor comments (2)

The abstract and introduction state that discrepancies in the literature are corrected, but the specific prior claims, equations, or papers being addressed are not identified with sufficient precision; adding a short paragraph or table in §1 or §2 listing the discrepancies and how the present t-dependent treatment resolves them would improve clarity.
Notation for the detector operators and the time-dependent phase factors in the Faddeev-Kulish dressings could be made more uniform across the QED and gravity sections to facilitate direct comparison of the memory eigenvalue contributions.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive and accurate summary of our manuscript, which correctly identifies our use of the detector formalism to rederive asymptotic symmetries and the memory effect in massive QED and perturbative quantum gravity. We appreciate the recognition that incorporating the full time dependence of Faddeev-Kulish dressings allows us to demonstrate how these dressings encode the memory effect in the in and out Fock spaces, identify physical contributions to the memory eigenvalues, and generalize the analysis to external hard gravitons while addressing discrepancies in the literature. The referee's assessment of the significance aligns with our goals of providing explicit derivations and a physical interpretation of asymptotic charges in dressed states. Given the recommendation for minor revision and the absence of specific major comments, we will incorporate any minor suggestions in the revised version.

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper rederives the encoding of the memory effect by Faddeev-Kulish dressings in detector formalism for massive QED and perturbative gravity, including t-dependent phases and external hard gravitons. These steps are presented as explicit operator constructions acting on dressed in/out states, drawing from standard prior literature rather than self-defining the target memory eigenvalues or fitting parameters to the result. No load-bearing self-citation chains, ansatz smuggling, or renaming of known results as new derivations are identified; the central claims remain independent of the paper's own inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review yields insufficient detail to enumerate specific free parameters or invented entities; the work appears to rely on standard perturbative QFT assumptions and the existing Faddeev-Kulish dressing formalism from prior literature without introducing new ad-hoc entities.

pith-pipeline@v0.9.0 · 5412 in / 1161 out tokens · 42040 ms · 2026-05-10T01:32:38.672028+00:00 · methodology

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Finite-time memory detectors and fully constraining Faddeev-Kulish dressings in QED and gravity
hep-th 2026-05 unverdicted novelty 6.0

Symmetry uniquely fixes finite-time Faddeev-Kulish dressings in QED and gravity so they reproduce classical memory, allowing recovery of first-order and higher-order gravitational memory in perturbative calculations.

Reference graph

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