Some exact multipseudoparticle solutions of classical Yang-Mills theory

Edward Witten

doi:10.1103/PhysRevLett.38.121

Some exact multipseudoparticle solutions of classical Yang-Mills theory

Edward Witten

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

613 Scopus citations

Abstract

I present some exact solutions of the Polyakov-Belavin-Schwartz-Tyupkin equation F=F for an SU(2) gauge theory in Euclidean space. My solutions describe a system with an arbitrary number of pseudoparticles, with arbitrary scale parameters and arbitrary separations, arranged along a line. The action for an n-pseudoparticle solution is precisely n times the action for a single pseudoparticle.

Original language	English (US)
Pages (from-to)	121-124
Number of pages	4
Journal	Physical review letters
Volume	38
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.38.121
State	Published - 1977
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.38.121

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title = "Some exact multipseudoparticle solutions of classical Yang-Mills theory",

abstract = "I present some exact solutions of the Polyakov-Belavin-Schwartz-Tyupkin equation F=F for an SU(2) gauge theory in Euclidean space. My solutions describe a system with an arbitrary number of pseudoparticles, with arbitrary scale parameters and arbitrary separations, arranged along a line. The action for an n-pseudoparticle solution is precisely n times the action for a single pseudoparticle.",

author = "Edward Witten",

note = "Funding Information: Research supported in part by the National Science Foundation under Grant No. MPS75-20427.",

year = "1977",

doi = "10.1103/PhysRevLett.38.121",

language = "English (US)",

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pages = "121--124",

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N2 - I present some exact solutions of the Polyakov-Belavin-Schwartz-Tyupkin equation F=F for an SU(2) gauge theory in Euclidean space. My solutions describe a system with an arbitrary number of pseudoparticles, with arbitrary scale parameters and arbitrary separations, arranged along a line. The action for an n-pseudoparticle solution is precisely n times the action for a single pseudoparticle.

AB - I present some exact solutions of the Polyakov-Belavin-Schwartz-Tyupkin equation F=F for an SU(2) gauge theory in Euclidean space. My solutions describe a system with an arbitrary number of pseudoparticles, with arbitrary scale parameters and arbitrary separations, arranged along a line. The action for an n-pseudoparticle solution is precisely n times the action for a single pseudoparticle.

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U2 - 10.1103/PhysRevLett.38.121

DO - 10.1103/PhysRevLett.38.121

M3 - Article

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JO - Physical review letters

JF - Physical review letters

IS - 3

ER -

Some exact multipseudoparticle solutions of classical Yang-Mills theory

Abstract

All Science Journal Classification (ASJC) codes

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