Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
33 (1992), S. 2046-2052
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
It is shown that a regularized determinant based on Hilbert's approach (which we call the "p determinant'') of a quotient of elliptic operators defined on a manifold with boundary is equal to the "p determinant'' of a quotient of pseudodifferential operators. The last ones are entirely expressible in terms of boundary values of solutions of the original differential operators. It is argued that, in the context of quantum field theory, these boundary values also determine the subtractions (i.e., the counterterms) to which this regularization scheme gives rise.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.529627
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