Instantons in non-Cartesian coordinates

Details Instantons in non-Cartesian coordinates Instantons in non-Cartesian coordinates

2000-09-14

arxiv.org/abs/hep-th/0009114v1

Phys.Atom.Nucl. 64 (2001) 946-951; Yad.Fiz. 64 (2001) 1015-1021

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX, talk given at Quarks-2000 (Pushkin, Russia) and E.S.Fradkin (Moscow, Russia) conferences

Scientific paper

10.1134/1.1378887

The explicit multi-instanton solutions by 'tHooft and Jackiw, Nohl & Rebbi are generalized to curvilinear coordinates. The idea is that a gauge transformation can notably simplify the expressions obtained after the change of variables. The gauge transform generates a compensating addition to the gauge potential of pseudoparticles. Singularities of the compensating field are irrelevant for physics but may affect gauge dependent quantities.

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