# Search results for: Yu. V. Grats

Physics of Atomic Nuclei > 2019 > 82 > 2 > 153-157

*φ*(

*x*) in the vicinity of a pointlike source that has a zero-range potential are analyzed in four-dimensional Minkowski space. An exact expression for the regularized scalar-field Hadamard function is obtained by means of the technique of self-adjoint extensions, and the renormalized vacuum expectation values of the scalar field squared,...

Physics of Atomic Nuclei > 2018 > 81 > 2 > 253-256

*δ*

^{d}-like (

*d*= 1, 2, and 3) sources in Minkowski space is examined on the basis of the ln det formalism. The result obtained for the case of two semitransparent plates (

*d*= 1) coincides with the earlier result based on an alternative approach. The earlier assertion that there is no vacuum interaction between linear (

*d*= 2) sources is disproved. An expression...

Theoretical and Mathematical Physics > 2016 > 186 > 2 > 205-212

*D*-dimensional (

*D*≥ 3) space–time. We show that the interaction energy regularized by dimensional regularization contains neither ultraviolet divergences nor divergences associated with the nonintegrable nature of the vacuum mean of the energy–momentum tensor operator. In the case of four space–time...

Journal of Experimental and Theoretical Physics > 2016 > 123 > 5 > 807-813

^{2}〉

_{ren}and 〈

*T*

_{00}〉

_{ren}have been derived by the dimensional regularization method. Comparison with the results obtained by alternative regularization methods is made.

Journal of Experimental and Theoretical Physics > 2016 > 122 > 1 > 96-103

*n*+ 1)-dimensional Schwarzschild–Tangherlini black hole for an arbitrary

*n*≥ 3 is calculated. An expression for the electrostatic Green function is derived in the first two orders of the perturbation theory. Dimensional regularization is proposed to be used to regularize the corresponding...