Classical dimensional transmutation and confinement

doi:10.1007/JHEP12(2011)103

2011-12-27

Gia Dvali *

César Gómez

Slava Mukhanov

DOI：10.1007/JHEP12(2011)103

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摘要

En 中文

We observe that probing certain classical field theories by external sources uncovers the underlying renormalization group structure, including the phenomenon of dimensional transmutation, at purely-classical level. We perform this study on an example of lambda phi(4) theory and unravel asymptotic freedom and triviality for negative and positives signs of lambda respectively. We derive exact classical beta function equation. Solving this equation we find that an isolated source has an infinite energy and therefore cannot exist as an asymptotic state. On the other hand a dipole, built out of two opposite charges, has finite positive energy. At large separation the interaction potential between these two charges grows indefinitely as a distance in power one third.

Keyword:

Asymptotic Freedom

Renormalization Group

Renormalization Regularization and Renormalons

期刊

Journal of High Energy Physics

IF:

5.5

论文数:

4.0W

被引数:

13.7W

机构

consejo superior de investigaciones cientificas (csic)

学者数:

8.8W

论文数: 8.5W

被引数: 125

University of Munich

学者数:

5.7W

论文数: 4.2W

被引数: 68

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