2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/16824Concerning renormalisation group theory applied to phase transitions, we examine the value of positive numerical and analytical evidence, the divergent short-wavelength behaviour of classical free fields and the absence of UV-divergences in quantum field theories with proper mathematical handling. We conclude as to the inadequacy of the conceptual and mathematical framework of renormalisation theory of critical phenomena.html file, 5 pages, with equations embedded, total of 8 files when downloaded (1 text + 7 equations)Statistical Mechanicstext