Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

High Energy Physics - Theory

arXiv:2111.11642 (hep-th)
[Submitted on 23 Nov 2021 (v1), last revised 12 Jan 2023 (this version, v3)]

Title:Soft Constraints on KMOC Formalism

Authors:Yilber Fabian Bautista, Alok Laddha
View PDF
Abstract:In this note, we investigate the implications of classical soft theorems for the formalism developed by Kosower, Maybee and O'Connell (KMOC) to derive classical observables in gauge theory and gravity from scattering amplitudes. In particular, we show that the radiative electro-magnetic field at leading order in the soft expansion imposes an infinite hierarchy of constraints on the expectation value of the family of observables generated by \textit{monomials} of linear impulse. We perform an explicit check on these constraints at next to leading order (NLO) in the coupling and as a corollary show how up to NLO, soft radiation obtained from quantum amplitudes is consistent with the (leading) classical soft photon theorem.
We also argue that in 4 dimensions the classical log soft theorem derived by Saha, Sahoo and Sen generates an infinite hierarchy of constraints on the expectation value of operators which are products of one angular momentum and an arbitrary number of linear momenta.
Comments: v2: Appendix B included, references added and typos fixed v3: Journal version
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.11642 [hep-th]
  (or arXiv:2111.11642v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.11642

Submission history

From: Yilber Fabian Bautista [view email]
[v1] Tue, 23 Nov 2021 04:09:38 UTC (37 KB)
[v2] Tue, 7 Dec 2021 21:26:02 UTC (41 KB)
[v3] Thu, 12 Jan 2023 11:04:54 UTC (39 KB)
Full-text links:

Access Paper:

license icon view license
Current browse context:
hep-th
< prev   |   next >
new | recent | 2021-11

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)