Conformal Chiral Dynamics

Details Conformal Chiral Dynamics Conformal Chiral Dynamics

2008-11-04

arxiv.org/abs/0811.0616v3

Phys.Rev.D80:017901,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.80.017901

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.

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