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ISSN - 01709739, Zeitschrift f�r Physik C-Particles and Fields, 1985, vol. 27, 3, p. 461-467

Non-Abelian constant fields and the vacuum expectation values

Mil'shtein A. I., Pinelis Yu F.

The nonperturbative effects in SUc(2) gauge theory, which are due to the non-Abelian constant fields, are analysed. The nonrelativistic polarization operator II(E) is obtained in these fields. The operator expansion is not applicable if the nonperturbative corrections are larger than the relativistic corrections. At high energies, it is possible to make the analytic continuation of the derived polarization operator from the under-threshold region to the physical by means of the continuation of each operator expansion term individually. The Borel transform II(τ) of the nonrelativistic polarization operator is sensitive not only to the gluon condensate value but also to the vacuum field structure. The non-Abelian constant fields don't lead to the spontaneous chiral symmetry breaking but generate the nonperturbative quark mass renormalization. © 1985 Springer-Verlag.