Zeta-Function Regularization, the Multiplicative Anomaly and the Wodzicki Residue

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چکیده

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Zeta - function Regularization , the Multiplicative Anomaly and the Wodzicki Residue

The multiplicative anomaly associated with the zeta-function regularized determinant is computed for the Laplace-type operators L1 = −∆+ V1 and L2 = −∆+ V2, with V1, V2 constant, in a D-dimensional compact smooth manifold MD, making use of several results due to Wodzicki and by direct calculations in some explicit examples. It is found that the multiplicative anomaly is vanishing for D odd and ...

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In a recent work, T.S. Evans has claimed that the multiplicative anomaly associated with the zeta-function regularization of functional determinants is regularization dependent. We show that, if one makes use of consistent definitions, this is not the case and clarify some points in Evans’ argument. PACS numbers: 05.30.-d,05.30.Jp,11.10.Wx,11.15.Ex Recently, T.S. Evans [1] has investigated the ...

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ژورنال

عنوان ژورنال: Communications in Mathematical Physics

سال: 1998

ISSN: 0010-3616,1432-0916

DOI: 10.1007/s002200050371