English

On the c-theorem in more than two dimensions

High Energy Physics - Theory 2007-05-23 v1

Abstract

Several pieces of evidence have been recently brought up in favour of the c-theorem in four and higher dimensions, but a solid proof is still lacking. We present two basic results which could be useful for this search: i) the values of the putative c-number for free field theories in any even dimension, which illustrate some properties of this number; ii) the general form of three-point function of the stress tensor in four dimensions, which shows some physical consequences of the c-number and of the other trace-anomaly numbers.

Keywords

Cite

@article{arxiv.hep-th/0009119,
  title  = {On the c-theorem in more than two dimensions},
  author = {A. Cappelli and G. D'Appollonio and R. Guida and N. Magnoli},
  journal= {arXiv preprint arXiv:hep-th/0009119},
  year   = {2007}
}

Comments

Latex, 7 pages, 1 table

R2 v1 2026-07-22T14:59:56.080Z