### Abstract

A zero-dimensional analogue of Witten's global gauge anomaly is considered. For example, a zero-dimensional reduction of the two-dimensional SO(2N) Yang-Mills theory with a single Majorana-Weyl fermion in the fundamental representation suffers from this anomaly. Another example is a zero-dimensional reduction of two- and three-dimensional SU(2N_{C}) Yang-Mills theories which couple to a single Majorana fermion in the adjoint representation. In this case, any expectation value is either indeterminate or infinite.

Original language | English |
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Pages (from-to) | 467-471 |

Number of pages | 5 |

Journal | Progress of Theoretical Physics |

Volume | 115 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 1 2006 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

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## Cite this

So, H., & Suzuki, H. (2006). Zero-dimensional analogue of the global gauge anomaly.

*Progress of Theoretical Physics*,*115*(2), 467-471. https://doi.org/10.1143/PTP.115.467