ar X iv : h ep - t h / 96 06 12 4 v 1 2 0 Ju n 19 96 The string solution in SU ( 2 ) Yang - Mills - Higgs theory

نویسندگان

  • V. D. Dzhunushaliev
  • A. A. Fomin
چکیده

The tube solutions in Yang-Mills-Higgs theory are received, in which the Higgs field has the negative energy density. This solutions make up the discrete spectrum numered by two integer and have the finite linear energy density. Ignoring its transverse size, such field configuration is the rest infinity straight string. At the end of 50-th years W.Heisenberg has been investigate the non-linear spinor matter theory (see, for example, [1], [2]). It is supposed that on the basis one or another nonlinear spinor equation the basic parameters of the elementary particles existing at that time will be derived: masses, charges and so on. The mathematical essence of this theory lies in the fact that the nonlinear spinor Heisenberg equation (HE) (or in the simpler case the nonlinear boson equation like nonlinear Schrödinger equation) has the discrete spectrum of the solutions having physical meaning (possesing, for example, the finite energy). This solutions give the mass spectrum in classical region even. This gave hope that after quantization more or less likely mass spectrum and the charges of the elementary particles would be derive. Now the string can to arise in Dirac theory with the massive vector field A µ by interaction 2 magnetic charges with opposite sign [3]. At present time *

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تاریخ انتشار 1996