Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T11:24:30.470703Z
Paper Citation Record · LEDGER
Vacuum Polarization Energy of a Proca Soliton
As of 15 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 2 inbound Pith citation observations for arXiv:2411.18373.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T13:18:46.551344Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-10T23:19:10.580025Z
Reference resolution
38 of 38 outbound references displayed
- verified exact1
- verified fuzzy20
- unresolved17
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 568bf654-4658-418c-bf1c-982f70dbd4c7 · outbound
This paper cites (29) We immediately observe that the scattering problem is non-Hermitian.
Vacuum Polarization Energy of a Proca Soliton (29) We immediately observe that the scattering problem is non-Hermitian
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.760953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 98c66746-0a39-45e5-9333-6ba48eaac620 · outbound
This paper cites ⟨V ⟩p q2 − m2 2 + m2 1 − ⟨V ⟩ q # = ∞Z 0 dq 2π.
Vacuum Polarization Energy of a Proca Soliton ⟨V ⟩p q2 − m2 2 + m2 1 − ⟨V ⟩ q # = ∞Z 0 dq 2π
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.768805Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 48f8ff64-de3f-4445-9764-65101411abfe · outbound
This paper cites The latter relation corresponds to u0 = a′.
Vacuum Polarization Energy of a Proca Soliton The latter relation corresponds to u0 = a′
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.753148Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b0084edd-2510-419a-835a-fabbe132c009 · outbound
This paper cites Rajaraman.
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.745363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation be469536-5b9c-44a6-ad0f-90fae19eb03e · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.737488Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bc5227b7-ac00-4277-9d1f-2a4608a55b99 · outbound
This paper cites Vachaspati.
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.729803Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 969c6716-e316-4d80-bc96-4fd0c4f63b46 · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.722383Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 69b305fa-8676-4110-b829-0b6eb3ad711c · outbound
This paper cites Zahed and G.
Vacuum Polarization Energy of a Proca Soliton Zahed and G
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.714343Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f751ce54-748a-4021-88e4-091f45315d3d · outbound
This paper cites Vilenkin and E.
Vacuum Polarization Energy of a Proca Soliton Vilenkin and E
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.706821Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e9508b36-de91-4153-8848-9cf67e9fa403 · outbound
This paper cites Schollw¨ ock,et al.
Vacuum Polarization Energy of a Proca Soliton Schollw¨ ock,et al
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.699750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 742effdf-1441-4751-9b92-389057d5794e · outbound
This paper cites Nagaosa and Y.
Vacuum Polarization Energy of a Proca Soliton Nagaosa and Y
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.693012Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4b51bf03-f0f7-4edb-ac30-2ae897dd5315 · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.686029Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation de91a013-337d-4525-8927-1463194eb3a1 · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.679372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8c69c514-7012-4146-a978-cb45bed0c450 · outbound
This paper cites Meier and H.
Vacuum Polarization Energy of a Proca Soliton Meier and H
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.672212Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1bb12114-7f23-4f8b-a943-c66913aaa4ec · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.664890Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7729c0b3-4000-4e7a-8023-3869c515cca2 · outbound
This paper cites Schwesinger, H.
Vacuum Polarization Energy of a Proca Soliton Schwesinger, H
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.658015Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1587a2d6-add0-4d13-bd9d-363912027394 · outbound
This paper cites Graham, M.
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.651275Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation cadf22e7-8e84-4ba8-8e77-60153e220c57 · outbound
This paper cites Graham and H.
Vacuum Polarization Energy of a Proca Soliton Graham and H
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.644341Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 18ac1568-2ae8-405b-8edc-76905a51cc47 · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.637411Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b1314996-fc1e-4523-91b3-e5c9b184c086 · outbound
This paper cites Graham, R.
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.630555Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9c1ad87e-67d1-47f9-9b9b-1e86eb7bdaea · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.621665Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2eb54be5-8ae2-4ee6-a514-9628cd31dcb5 · outbound
This paper cites Elizalde.
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.613883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ecbd11d8-5f06-4012-9ad9-0d6f01b8292e · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.606498Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ff0e8421-c5bb-4dc0-969b-e32afbbe6e8f · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.598700Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 08b9b517-3246-4498-a27d-10e0d4653c86 · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.591961Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2dae4726-d454-4db4-80d4-d630eedd6a8f · outbound
This paper cites Integration in Functional Spaces and its Applications in Quantum Physics.
Vacuum Polarization Energy of a Proca Soliton Integration in Functional Spaces and its Applications in Quantum Physics
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.583942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation eecd67cd-cc09-43a5-ac48-5b2f2658a4c0 · outbound
This paper cites Alonso Izquierdo, W.
Vacuum Polarization Energy of a Proca Soliton Alonso Izquierdo, W
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.576819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5388df17-24f4-4a0a-9e30-bfa837d7f46b · outbound
This paper cites Weigel, M.
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.569353Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 55ac86fa-6dfd-403d-9f42-c83ba5c9b781 · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.562572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation aad448d8-88c9-40bd-8074-578b74e49728 · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.555809Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c778ca6a-eac0-4df9-9492-3015b23d5d10 · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.549112Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d612c4f3-e723-4182-bd63-280ea2e7e5bd · outbound
This paper cites Feshbach.
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.542098Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ce243722-a97b-4dbf-a895-29664580f599 · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.534598Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0c7b16f7-70be-4d8e-b573-00b3403cf65f · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.526034Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3e6685d6-14be-4fec-aeb4-5045ba8ba72e · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.518842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1cb292dc-274f-47e1-8c5b-7b1062753f6d · outbound
This paper cites ’t Hooft.
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:24:30.511353Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 08edff01-a82f-4fa1-ba99-3df831022059 · outbound
This paper cites an unresolved cited work.
Vacuum Polarization Energy of a Proca Soliton Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:24:30.503775Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c1c3c83a-0d61-485a-b59c-ece1643b942f · outbound
This paper cites Geometrically constrained sine-Gordon field: BPS solitons and their collisions.
Vacuum Polarization Energy of a Proca Soliton Geometrically constrained sine-Gordon field: BPS solitons and their collisions
Reference 38
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T11:24:30.495961Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
Observation 3e59889d-ecdb-4167-a62f-cbdf850d5c75 · inbound
(Anti-)Stokes Scattering on the Domain Wall String cites this paper.
(Anti-)Stokes Scattering on the Domain Wall String Vacuum Polarization Energy of a Proca Soliton
Reference 58
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T13:18:46.551344Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2908400c-210b-43b8-94a1-a45c5bdc75de · inbound
The Domain Wall Soliton's Tension cites this paper.
The Domain Wall Soliton's Tension Vacuum Polarization Energy of a Proca Soliton
Reference 21
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T23:19:10.588039Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.