Zero point energy and analytic regularizations

Physics

Scientific paper

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Theory Of Quantized Fields, Fundamental Problems And General Formalism, Renormalization

Scientific paper

We discuss analytic regularization methods used to obtain the renormalized vacuum energy of quantum fields in an arbitrary ultrastatic spacetime. After proving that the ζ-function method is equivalent to the cutoff method with the subtraction of the polar terms, we present two examples where the analytic extension method gives a finite result, but in disagreement with the cutoff and ζ-function methods.

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