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

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

2001-03-14

arxiv.org/abs/hep-th/0103105v1

JHEP 0104 (2001) 005

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex

Scientific paper

10.1088/1126-6708/2001/04/005

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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