Comment on "Thermodynamics of quantum crystalline membranes"
E.I.Kats, V.V.Lebedev (Landau Institute for Theoretical Physics,, RAS, and Moscow Institute of Physics, Technology, Moscow region, Russia)
TL;DR
This paper critiques a previous theoretical study on quantum crystalline membranes, arguing that their calculations of UV divergences may be invalid due to potential issues with long-scale theory approximations.
Contribution
It challenges the validity of prior UV divergence calculations in quantum membrane theory, emphasizing the need for careful treatment of long-scale approximations.
Findings
Previous calculations of UV divergences may be incorrect
Long-scale theory may not accurately capture UV contributions
The validity of earlier theoretical results is questioned
Abstract
B. Amorim et al., (B.Amorim, R.Roldan, E.Cappelluti, A.Fasolino, F.Guinea, M.I.Katsnelson, Phys. Rev. B, v. 89, 224307 (2014)) reported the theoretical investigation of quantum crystalline membranes. In this comment we dismiss validity of their calculations based on a "natural" estimation of the ultra-violet (UV) divergent contributions into correlation functions. We claim that such calculations may not be performed correctly within the long-scale theory.
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