# Conjecture on the physical implications of the scale anomaly

## 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}{sub 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, {h_bar}, limit. This principle has implications for the dimensionality of space-time, the cosmological constant, the weak scale, and Planck scale.

- Authors:

- Publication Date:

- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 878947

- Report Number(s):
- FERMILAB-CONF-05-482-T

arXiv eprint number hep-th/0510177; TRN: US0605015

- DOE Contract Number:
- AC02-76CH03000

- Resource Type:
- Conference

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGICAL CONSTANT; ORIGIN; QUANTUM CHROMODYNAMICS; RENORMALIZATION; Theory-HEP

### Citation Formats

```
Hill, Christopher T, and /Fermilab.
```*Conjecture on the physical implications of the scale anomaly*. United States: N. p., 2005.
Web.

```
Hill, Christopher T, & /Fermilab.
```*Conjecture on the physical implications of the scale anomaly*. United States.

```
Hill, Christopher T, and /Fermilab. Sat .
"Conjecture on the physical implications of the scale anomaly". United States. https://www.osti.gov/servlets/purl/878947.
```

```
@article{osti_878947,
```

title = {Conjecture on the physical implications of the scale anomaly},

author = {Hill, Christopher T and /Fermilab},

abstractNote = {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}{sub 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, {h_bar}, limit. This principle has implications for the dimensionality of space-time, the cosmological constant, the weak scale, and Planck scale.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2005},

month = {10}

}

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