English

Conformal Chiral Dynamics

High Energy Physics - Phenomenology 2010-04-21 v3 High Energy Physics - Lattice High Energy Physics - Theory

Abstract

We investigate the chiral dynamics of gauge theories developing an infrared stable fixed point. We determine the dependence of the bilinear fermion condensate on the underlying fermion mass and its anomalous dimension. We introduce the instanton contributions and investigate how they affect the dynamics near the fixed point. We generalize the Gell-Mann Oakes Renner relation and suggest to use it to uncover the presence of an infrared fixed point of the underlying gauge theory. Our results have an immediate impact on the construction of sensible extensions of the Standard Model of particle interactions and the general understanding of the phase diagram of strongly coupled theories.

Keywords

Cite

@article{arxiv.0811.0616,
  title  = {Conformal Chiral Dynamics},
  author = {Francesco Sannino},
  journal= {arXiv preprint arXiv:0811.0616},
  year   = {2010}
}

Comments

4 RevTex pages, 1 figure with small modifications and added references

R2 v1 2026-06-21T11:38:14.704Z