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arXiv · hep-th/9906008

Multiinstantons in curvilinear coordinates

A. A. Abrikosov Jr
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Abstract

The 'tHooft's 5N-parametric multiinstanton solution is generalized to curvilinear coordinates. Expressions can be simplified by a gauge transformation that makes $η$-symbols constant in the vierbein formalism. This generates the compensating addition to the gauge potential of pseudoparticles. Typical examples (4-spherical, 2+2- and 3+1-cylindrical coordinates) are studied and explicit formulae presented for reference. Singularities of the compensating field are discussed. They are irrelevant for physics but affect gauge dependent quantities.

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A. A. Abrikosov Jr. 1999-06-01. Multiinstantons in curvilinear coordinates. https://doi.org/10.1016/s0550-3213(00)00450-8

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