Zero-dimensional analogue of the global gauge anomaly

Hiroto So, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review


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(2NC) 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 languageEnglish
Pages (from-to)467-471
Number of pages5
JournalProgress of Theoretical Physics
Issue number2
Publication statusPublished - Feb 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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