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- W3016075331 abstract "Abstract To motivate our discussion, we consider a 1 + 1 dimensional scalar field interacting with a static Coulomb-type background, so that the spectrum of quantum fluctuations is given by a second-order differential operator on a single coordinate r with a singular coefficient proportional to 1/ r . We find that the spectral functions of this operator present an interesting behavior: the ζ function has multiple poles in the complex plane; accordingly, logarithms of the proper time appear in the heat-trace expansion. As a consequence, the ζ function does not provide a finite regularization of the effective action. This work extends similar results previously derived in the context of conical singularities." @default.
- W3016075331 created "2020-04-17" @default.
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- W3016075331 date "2020-10-29" @default.
- W3016075331 modified "2023-09-26" @default.
- W3016075331 title "A new example of the effects of a singular background on the zeta function <sup>*</sup>" @default.
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- W3016075331 doi "https://doi.org/10.1088/1751-8121/abc12a" @default.
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