Comment on `Dimensional expansion for the delta-function potential'
R. M. Cavalcanti
TL;DR
This paper critiques a recent claim that analytic continuation in space dimension is necessary to correctly compute the scattering cross section for a 2D delta-function potential, arguing against its validity.
Contribution
It provides a critical analysis challenging the necessity of dimensional continuation in calculating scattering cross sections for 2D delta potentials.
Findings
The critique refutes the claim of dimensional continuation being essential.
It clarifies the correct method for calculating the cross section.
The paper emphasizes the importance of proper mathematical treatment in scattering problems.
Abstract
I criticize the claim, made in a recent article [C. M. Bender and L. R. Mead, Eur. J. Phys. 20, 117 (1999)], that in order to obtain the correct cross section for the scattering from a two-dimensional delta-function potential one must perform analytic continuation in the dimension of space.
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