Geodesic
Mixed type regularizations and nonlogarithmic singularities
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 27, Tome 494 (2020), pp. 242-249

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In this paper we discuss dimensional and cutoff regularizations, using the heat kernel method as an example. The regularization modifications by adding to a Green function a special type operator are considered. In particular, we show that the dimensional regularization can lead to non-logarithmic divergences. 
@article{ZNSL_2020_494_a11,
     author = {N. V. Kharuk},
     title = {Mixed type regularizations and nonlogarithmic singularities},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {242--249},
     publisher = {mathdoc},
     volume = {494},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_494_a11/}
}
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N. V. Kharuk. Mixed type regularizations and nonlogarithmic singularities. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 27, Tome 494 (2020), pp. 242-249. http://geodesic.mathdoc.fr/item/ZNSL_2020_494_a11/