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VOLUME 68 (1998) | ISSUE 5 | PAGE 353
The continuum limit and integral vacuum charge
PACS: 03.70.+k, 11.10.St
We consider a topologically trivial field theory defined in a large box of size L and exploit the enumeration of states to point out that the vacuum charge is integral contrary to what a commonly used formula seems to suggest. We show that the large L limit is subtle: Standard anticommutation relations require the presence of a somewhat unfamiliar normalization factor which in turn leads to observable effects for the vacuum charge density.