Wilson loop

gauge-invariant observable obtained from the holonomy of the gauge connection around a given loop
Thing general Q206552
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Wilson loop

Summary

Wilson loop ranks in the top 2% of general entities by monthly Wikipedia readership (117 views/month).[1]

Key Facts

  • Kenneth G. Wilson is named after Wilson loop[2].
  • Wilson loop's subclass of is recorded as operator in physics[3].
  • Wilson loop's subclass of is recorded as holonomy[4].
  • Wilson loop's subclass of is recorded as observable[5].
  • Wilson loop's opposite of is recorded as 't Hooft loop[6].
  • Wilson loop's Freebase ID is recorded as /m/02w_07[7].
  • Wilson loop's Stack Exchange tag is recorded as https://physics.stackexchange.com/tags/wilson-loop[8].
  • Wilson loop's defining formula is recorded as \operatorname{tr}\left(\mathcal P\exp\mathrm i\oint_\gamma A_\mu \mathrm dx^\mu\right)[9].
  • Wilson loop's nLab ID is recorded as Wilson loop[10].
  • Wilson loop's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Wilson loop's Microsoft Academic ID is recorded as 2776482091[12].
  • Wilson loop's in defining formula is recorded as \operatorname{tr}[13].
  • Wilson loop's in defining formula is recorded as \mathcal P[14].
  • Wilson loop's in defining formula is recorded as \oint[15].
  • Wilson loop's in defining formula is recorded as A[16].
  • Wilson loop's in defining formula is recorded as \gamma[17].
  • Wilson loop's OpenAlex ID is recorded as C2776482091[18].

Why It Matters

Wilson loop ranks in the top 2% of general entities by monthly Wikipedia readership (117 views/month).[1] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[19] It is known by 6 alternative names across languages and contexts.[20]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . Freebase Data Dumps. wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . Wikidata sitelinks. wikidata.org.
  3. [20] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Wilson loop. Retrieved April 10, 2026, from https://4ort.xyz/entity/wilson-loop
MLA “Wilson loop.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/wilson-loop.
BibTeX @misc{4ortxyz_wilson-loop_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Wilson loop}}, year = {2026}, url = {https://4ort.xyz/entity/wilson-loop}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Wilson loop — https://4ort.xyz/entity/wilson-loop (retrieved 2026-04-10)

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