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A Note on Wess-Zumino Terms and Discrete Symmetries | | Silas R. Beane
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16 Jul 1998 | | Journal: | Phys.Lett. B444 (1998) 147-155 | | Subject: | hep-th hep-ph | | Abstract: | Sigma models in which the integer coefficient of the Wess-Zumino term vanishes are easy to construct. This is the case if all flavor symmetries are vectorlike. We show that there is a subset of SU(N)XSU(N) vectorlike sigma models in which the Wess-Zumino term vanishes for reasons of symmetry as well. However, there is no chiral sigma model in which the Wess-Zumino term vanishes for reasons of symmetry. This can be understood in the sigma model basis as a consequence of an index theorem for the axialvector coupling matrix. We prove this index theorem directly from the SU(N)XSU(N) algebra. | | Source: | arXiv, hep-th/9807116 | | Services: | Forum | Review | PDF | Favorites | |
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