Fluctuations of quantum fields via zeta function regularization

Details Fluctuations of quantum fields via zeta function regularization Fluctuations of quantum fields via zeta function regularization

2002-01-19

arxiv.org/abs/hep-th/0201152v2

Phys.Rev. D65 (2002) 085031

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex, typographical mistakes corrected

Scientific paper

10.1103/PhysRevD.65.085031

Explicit expressions for the expectation values and the variances of some observables, which are bilinear quantities in the quantum fields on a D-dimensional manifold, are derived making use of zeta function regularization. It is found that the variance, related to the second functional variation of the effective action, requires a further regularization and that the relative regularized variance turns out to be 2/N, where N is the number of the fields, thus being independent on the dimension D. Some illustrating examples are worked through.

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