Conjecture on the Physical Implications of the Scale Anomaly
High Energy Physics - Theory
2007-05-23 v2 General Relativity and Quantum Cosmology
High Energy Physics - Experiment
High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.hep-th/0510177,
title = {Conjecture on the Physical Implications of the Scale Anomaly},
author = {Christopher T. Hill},
journal= {arXiv preprint arXiv:hep-th/0510177},
year = {2007}
}
Comments
Invited talk delivered at the Santa Fe Institute on the Occasion of the Celebration of the 75th Birthday of Murray Gell-Mann. July 23, 2005