Abstract

Nonlocal gauge theories, including gravitation, are considered. It is shown that to give a meaning to /gamma//sub 5/-anomalous theories it is sufficient to introduce an additional nonlocal interaction. The introduction of such an interaction leads to a unitary macrocausal theory describing the interaction of massive vector fields with fermion fields. It is shown that nonlocal gauge theories with nonlocality scale /Lambda//sub nl/ /le/ (1-10) TeV are capable of solving the hierarchy problem. An example of a nonlinear gauge model of grand unification is found in which topologically nontrivial monopole solutions with finite energy are absent.

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