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arXiv · hep-th/0103105

Multi-Field Generalisations of the Klein-Gordon Theory associated with p-Branes

David B. Fairlie·Tatsuya Ueno
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Abstract

The purpose of this article is to initiate a study of a class of Lorentz invariant, yet tractable, Lagrangian Field Theories which may be viewed as an extension of the Klein-Gordon Lagrangian to many scalar fields in a novel manner. These Lagrangians are quadratic in the Jacobians of the participating fields with respect to the base space co-ordinates. In the case of two fields, real valued solutions of the equations of motion are found and a phenomenon reminiscent of instanton behaviour is uncovered; an ansatz for a subsidiary equation which implies a solution of the full equations yields real solutions in three-dimensional Euclidean space. Each of these is associated with a spherical harmonic function.

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David B. Fairlie, Tatsuya Ueno. 2001-03-14. Multi-Field Generalisations of the Klein-Gordon Theory associated with p-Branes. https://doi.org/10.1088/1126-6708%2F2001%2F04%2F005

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