Zero-dimensional analogue of the global gauge anomaly

Details Zero-dimensional analogue of the global gauge anomaly Zero-dimensional analogue of the global gauge anomaly

2005-11-21

arxiv.org/abs/hep-th/0511207v2

Prog.Theor.Phys. 115 (2006) 467-471

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, uses PTPTeX.cls, the final version to appear in Prog. Theor. Phys

Scientific paper

10.1143/PTP.115.467

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.

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