Geodesic
Nonlocal gauge theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 2, pp. 235-244

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Nonlocal gauge theories including gravity are considered. It is shown that the introduction of the additional nonlocal interaction makes $\gamma_5$-anomalous theories meaningfull. The introduction of such interaction leads to macrocausal unitaire theory, which describes the interaction of massive vector fields with fermion fields. It is shown that nonlocal gauge theories with nonlocal scale $\Lambda_{n1}\lesssim (1\div 10)$ TeV can solve the gauge hierarchy problem. An example of nonlinear grand unification gauge model in which topologically nontrivial finite energy monopole solutions are absent is found. 
@article{TMF_1987_73_2_a6,
     author = {N. V. Krasnikov},
     title = {Nonlocal gauge theories},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {235--244},
     publisher = {mathdoc},
     volume = {73},
     number = {2},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_2_a6/}
}
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N. V. Krasnikov. Nonlocal gauge theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 2, pp. 235-244. http://geodesic.mathdoc.fr/item/TMF_1987_73_2_a6/