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This can be proved in the classical case, at least, by a conformal transformation. See [3].
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The results of [4] have been adjusted for the change in the parameter b.
Although the sign of the added term in (35) appears to be the conventional one, it is produced, in fact, from the cancellation of two changes of sign with subtle origins:(a) There is a minus sign coming from the fact that we are really doing magnetostatics in four dimensions. This means we should start with the thermodynamic potentials involving B and H in which the role of external field and total field are interchanged.(b) There is a minus sign coming from the fact that D is the external electric field produced by quark charges in Minkowski space, which becomes imaginary in Euclidean space.
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Differences between (24) and [26] and [18] do not change this conclusion.
A. Jevicki, “Collective Behavior of Instantons in QCD,” Institute for Advanced Study preprint, June 1979.
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Bernard, C. (1980). Physical effects of instantons. In: Harnad, J.P., Shnider, S. (eds) Geometrical and Topological Methods in Gauge Theories. Lecture Notes in Physics, vol 129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0024133
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