Abstract
The vacuum charge of a second quantized spinor field in a static classical background field on a static spacetime is studied. Wheng 00=1 the vacuum charge is shown to be essentially the eta function of the spinor Hamiltonian ats=0. This is computed for compact and noncompact spaces and a boundary dependence is derived in the latter case.
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Communicated by S.-T. Yau
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Lott, J. Vacuum charge and the eta function. Commun.Math. Phys. 93, 533–558 (1984). https://doi.org/10.1007/BF01212294
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DOI: https://doi.org/10.1007/BF01212294