Is there any application of fixed point theory in Physics?
2026-03-31 13:46:20.1774964780
Application of fixed point theory in Physics
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Yes. Renormalization group equations, used both in particle physics and condensed matter physics, often have fixed points with implications for physics. One notable example is asymptotic freedom in QCD, which is based on the observation that the renormalization group equations for the gauge couplings (and the Yukawa couplings as well) have an ultraviolet (high energy) fixed point at zero coupling strength. In some theories, there are also infrared fixed point, or quasi-fixed points that predict particle masses (or mass ratios). You might start from the wikipedia article
https://en.wikipedia.org/wiki/Renormalization_group
for more information.