Abstract

We discuss in this paper the usefulness of the effective Lagrangians [Formula: see text] of QED and QCD within the one-loop approximation. Instead of calculating [Formula: see text] via complicated computations with Schwinger’s proper-time technique or Feynman graphs, we prefer to employ the energy–momentum tensor and the leading-log model. The advantage is that we do not have to demand the external electromagnetic or color field to be constant. There are also some critical remarks added which cast doubt on the use of [Formula: see text] with covariant constant fields in explaining the nature of the QCD vacuum.

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