The principle of temperate action and a new type of uncertainty relation

Abstract

A new physical principle, called Principle of Temperate Action, is introduced to secure the convergence of the theory of quantised fields. In order to satisfy this principle, as well as the correspondence requirements, a dimensional constanta must be incorporated into the Lagrangian, which becomes bounded or increasing sufficiently slowly for its arguments tending to infinity. In some cases of temperate actions there appear constraints introducing non-local features and/or uncertainties of the order of magnitude of the constanta, in spite of the fact that the Lagrangians are local.