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Some Aspects regarding Renormalisation Theory of Critical Phenomena

Reinhold Brueckner
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Abstract

Concerning 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.

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Reinhold Brueckner. 2000-09-25. Some Aspects regarding Renormalisation Theory of Critical Phenomena. https://arxiv.org/abs/cond-mat/0009380

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