Searching for integrability

Edward Witten

doi:10.1016/0393-0440(92)90055-6

Searching for integrability

Edward Witten

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

The self-dual Yang-Mills equations in four dimensions are integrable, for any gauge group, via the twistor transform. Integrability of the Yang-Mills equations proper in four dimensions with a finite dimensional gauge group cannot reasonably be hoped for. However, longstanding questions about the large N limit of QCD suggest that a new form of integrability might conceivably emerge in the limit of an infinite dimensional gauge group.

Original language	English (US)
Pages (from-to)	327-334
Number of pages	8
Journal	Journal of Geometry and Physics
Volume	8
Issue number	1-4
DOIs	https://doi.org/10.1016/0393-0440(92)90055-6
State	Published - Mar 1992
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

Keywords

Yang-Mills equations
integrability

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10.1016/0393-0440(92)90055-6

Cite this

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title = "Searching for integrability",

abstract = "The self-dual Yang-Mills equations in four dimensions are integrable, for any gauge group, via the twistor transform. Integrability of the Yang-Mills equations proper in four dimensions with a finite dimensional gauge group cannot reasonably be hoped for. However, longstanding questions about the large N limit of QCD suggest that a new form of integrability might conceivably emerge in the limit of an infinite dimensional gauge group.",

keywords = "Yang-Mills equations, integrability",

author = "Edward Witten",

note = "Funding Information: Research supported in part by NSF Grant PHY86-20266.",

year = "1992",

month = mar,

doi = "10.1016/0393-0440(92)90055-6",

language = "English (US)",

volume = "8",

pages = "327--334",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

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T1 - Searching for integrability

AU - Witten, Edward

N1 - Funding Information: Research supported in part by NSF Grant PHY86-20266.

PY - 1992/3

Y1 - 1992/3

N2 - The self-dual Yang-Mills equations in four dimensions are integrable, for any gauge group, via the twistor transform. Integrability of the Yang-Mills equations proper in four dimensions with a finite dimensional gauge group cannot reasonably be hoped for. However, longstanding questions about the large N limit of QCD suggest that a new form of integrability might conceivably emerge in the limit of an infinite dimensional gauge group.

AB - The self-dual Yang-Mills equations in four dimensions are integrable, for any gauge group, via the twistor transform. Integrability of the Yang-Mills equations proper in four dimensions with a finite dimensional gauge group cannot reasonably be hoped for. However, longstanding questions about the large N limit of QCD suggest that a new form of integrability might conceivably emerge in the limit of an infinite dimensional gauge group.

KW - Yang-Mills equations

KW - integrability

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UR - http://www.scopus.com/inward/citedby.url?scp=27844510997&partnerID=8YFLogxK

U2 - 10.1016/0393-0440(92)90055-6

DO - 10.1016/0393-0440(92)90055-6

M3 - Article

AN - SCOPUS:27844510997

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VL - 8

SP - 327

EP - 334

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 1-4

ER -

Searching for integrability

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

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