Published January 2, 1978 | Version v1
Journal article

Baecklund transformations and the construction of the Atiyah-Ward ansatze for self-dual SU(2) gauge fields

  • 1. Durham Univ. (UK)
  • 2. Cambridge Univ. (UK). Dept. of Applied Mathematics and Theoretical Physics

Description

Simple expressions for the ansatze of Atiyah and Ward are given in Yang's R gauge. Some non-linear transformations connecting solutions of the field equations are exhibited. These transformations are analogues to the Baecklund transformations of the Sine-Gordon equation, etc., and provide an essentially algebraic inductive proof of the ansatze. Neither the sources for the anti-self-dual Maxwell fields used in the ansatze nor the reality conditions are discussed. (Auth.)

Additional details

Identifiers

Publishing Information

Journal Title
Physics Letters B
Journal Volume
72
Journal Issue
3
Series
Phys. Lett., B.
Journal Page Range
354-356
ISSN
0370-2693

INIS

Country of Publication
Netherlands
Country of Input or Organization
Netherlands
INIS RN
9376901
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DIFFERENTIAL EQUATIONS; FIELD EQUATIONS; SU-2 GROUPS; TRANSFORMATIONS; YANG-MILLS THEORY
Descriptors DEC
EQUATIONS; LIE GROUPS; SU GROUPS; SYMMETRY GROUPS

Optional Information

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