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Green-Schwarz Anomaly Cancellation, World Sheet Instantons and Wormholes

H. B. Nielsen·Y. Takanishi
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Abstract

We consider the breaking of the global conservation of gauge field charges which are commonly thought to survive the spontaneous breakdown of gauge symmetry brought about by Kalb-Ramond fields. Depending on the dilaton field and also the size of the compactifying space, the global charge breaking may take place due to world sheet instantons. In going to 3+1 dimensions one could have a serious problem in order to produce the hierarchies between the quark and the charged lepton masses using the mass protecting charges with the Green-Schwartz anomaly cancellation. Various unnatural features of this type of models are discussed.

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H. B. Nielsen, Y. Takanishi. 2004-03-24. Green-Schwarz Anomaly Cancellation, World Sheet Instantons and Wormholes. https://arxiv.org/abs/hep-ph/0310146

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