Blow-up of the SU(2,ℂ) Yang-Mills fields

Yisong Yang

doi:10.1063/1.528759

Blow-up of the SU(2,ℂ) Yang-Mills fields

Yisong Yang

Mathematics

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

Abstract

It is remarked that, if the gauge group is not compact, finite-time blowing-up Yang-Mills fields over the Minkowski spaces may exist. The example taken is G = SU(2,ℂ). It is shown that blow-up can occur in an arbitrarily small time interval when the initial data of the fields are suitably chosen.

Original language	English (US)
Pages (from-to)	1237-1239
Number of pages	3
Journal	Journal of Mathematical Physics
Volume	31
Issue number	5
DOIs	https://doi.org/10.1063/1.528759
State	Published - 1990

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.528759

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abstract = "It is remarked that, if the gauge group is not compact, finite-time blowing-up Yang-Mills fields over the Minkowski spaces may exist. The example taken is G = SU(2,ℂ). It is shown that blow-up can occur in an arbitrarily small time interval when the initial data of the fields are suitably chosen.",

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AB - It is remarked that, if the gauge group is not compact, finite-time blowing-up Yang-Mills fields over the Minkowski spaces may exist. The example taken is G = SU(2,ℂ). It is shown that blow-up can occur in an arbitrarily small time interval when the initial data of the fields are suitably chosen.

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Blow-up of the SU(2,ℂ) Yang-Mills fields

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