Multiple meron solutions of the classical Yang-Mills equation

James Glimm; Arthur Jaffe

doi:10.1016/0370-2693(78)90827-4

Multiple meron solutions of the classical Yang-Mills equation

James Glimm
, Arthur Jaffe

Applied Mathematics and Statistics

Rockefeller University

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

44 Scopus citations

Abstract

We give a construction for multiple meron-antimeron solutions to the classical SU(2) Yang-Mills field equations. The corresponding charge density is Q(x) = 1 2∑ ± γ(x-x_i), with the x_i distinct points on a line. The problem is reduced to the solution of a scalar φ⁴ equation. We obtain a model with merons connected in pairs.

Original language	English
Pages (from-to)	167-170
Number of pages	4
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	73
Issue number	2
DOIs	https://doi.org/10.1016/0370-2693(78)90827-4
State	Published - Feb 13 1978

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title = "Multiple meron solutions of the classical Yang-Mills equation",

abstract = "We give a construction for multiple meron-antimeron solutions to the classical SU(2) Yang-Mills field equations. The corresponding charge density is Q(x) = 1 2∑ ± γ(x-xi), with the xi distinct points on a line. The problem is reduced to the solution of a scalar φ4 equation. We obtain a model with merons connected in pairs.",

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N2 - We give a construction for multiple meron-antimeron solutions to the classical SU(2) Yang-Mills field equations. The corresponding charge density is Q(x) = 1 2∑ ± γ(x-xi), with the xi distinct points on a line. The problem is reduced to the solution of a scalar φ4 equation. We obtain a model with merons connected in pairs.

AB - We give a construction for multiple meron-antimeron solutions to the classical SU(2) Yang-Mills field equations. The corresponding charge density is Q(x) = 1 2∑ ± γ(x-xi), with the xi distinct points on a line. The problem is reduced to the solution of a scalar φ4 equation. We obtain a model with merons connected in pairs.

UR - https://www.scopus.com/pages/publications/4243614881

U2 - 10.1016/0370-2693(78)90827-4

DO - 10.1016/0370-2693(78)90827-4

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AN - SCOPUS:4243614881

SN - 0370-2693

VL - 73

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2

ER -

Multiple meron solutions of the classical Yang-Mills equation

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