Adler-Bell-Jackiw anomaly and fermion-number breaking in the presence of a magnetic monopole |
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Authors: | VA Rubakov |
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Institution: | Institute for Nuclear Research of the Academy of Sciences of the USSR, 60th October Anniversary prospect 7 a, Moscow 117312, USSR |
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Abstract: | In (V - A) theories, fermion number is broken in the presence of the 't Hooft-Polyakov magnetic monopole through the Adler-Bell-Jackiw anomaly. An exactly solvable zeroth-order approximation for evaluating Green functions of zero-angular-momentum fermions in the presence of a monopole is developed in the case of an SU(2) model with massless left-handed fermions. Within this approximation the density of the fermion-number breaking condensate is calculated. This density is found to be O(1), i.e. to be independent of the coupling constant and of the vacuum expectation value of the Higgs field. The corrections to the approximation are estimated. It is argued that the above effect can give rise to the strong baryon-number breaking in monopole-fermion interactions in SU(5) grand unified theory. |
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