The Multiplicative Anomaly of Regularized Functional Determinants
نویسنده
چکیده
It is well known that the vacuum energy related to relativistic quantum fields defined on topological non-trivial manifolds may lead to interesting physical phenomena such as Casimir effects. Within this context, it is crucial the relativistic nature of quantum fields, namely the fact that an infinite number of degrees of freedom is involved. In the one-loop approximation or in the external field approximation, one may describe quantum (scalar) field by means of path (Euclidean) integral and expressing the Euclidean partition function as Z = (detA)−1/2 , (1)
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