Geodesic
Nonlocal gauge theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 2, pp. 235-244 
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/
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     author = {N. V. Krasnikov},
     title = {Nonlocal gauge theories},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {235--244},
     year = {1987},
     volume = {73},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_2_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Schwarz J. H., Phys. Rep., 89 (1982), 223–326 | DOI | MR

[2] Efimov G. V., Nelokalnye vzaimodeistviya, Nauka, M., 1977 | MR

[3] Krasnikov N. V., $\gamma_5$-anomalies in non-local gauge theories, University of Helsinki preprint HU-TET 85-26, University, Helsinki, 1985 | MR

[4] Schwinger J., Phys. Rev., 128 (1962), 2525–2537 | DOI | MR

[5] Adler S. L., Phys. Rev., 177 (1969), 2426–2438 | DOI

[6] Bell J. S., Jackiw R., Nuovo Cim., 60 (1969), 147–161

[7] Krasnikov N. V., Pisma v ZhETF, 40 (1984), 362–364

[8] Langacker P., Phys. Rep., 72C (1981), 185–302 | DOI

[9] 't Hooft G., Nucl. Phys., B79 (1974), 276–292 | DOI | MR

[10] Polyakov A. M., Pisma v ZhETF, 20 (1974), 194–196 | MR

[11] Nilles P., Phys. Rep., 110 (1984), 1–146 | DOI

[12] Stelle K. S., Phys. Rev., D16 (1977), 953–972 | MR