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Conjecture on the Physical Implications of the Scale Anomaly

Christopher T. Hill
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Abstract

Murray Gell-Mann, after co-inventing QCD, recognized the interplay of the scale anomaly, the renormalization group, and the origin of the strong scale, Lambda_{QCD}. I tell a story, then elaborate this concept, and for the sake of discussion, propose a conjecture that the physical world is scale invariant in the classical, \hbar -> 0, limit. This principle has implications for the dimensionality of space-time, the cosmological constant, the weak scale, and Planck scale.

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Christopher T. Hill. 2005-10-21. Conjecture on the Physical Implications of the Scale Anomaly. https://arxiv.org/abs/hep-th/0510177

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