Conformal Chiral Dynamics

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.

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

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• Ultra Minimal Technicolor and its Dark Matter TIMP
• Minimal Walking on the Lattice
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• The physics of eight flavours
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Cited by in corpus (19)

• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Evolution of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions
• Physics searches at the LHC
• Conformal Windows of SP(2N) and SO(N) Gauge Theories
• Conformal Window of Gauge Theories with Four-Fermion Interactions and Ideal Walking
• Mass anomalous dimension in SU(2) with six fundamental fermions
• Mass Deformed Exact S-parameter in Conformal Theories
• Conformal House
• On the decoupling of mirror fermions
• Orthogonal Technicolor with Isotriplet Dark Matter on the Lattice
• Delineating the conformal window
• Dual of QCD with One Adjoint Fermion
• The Electroweak Phase Transition in Ultra Minimal Technicolor
• Strongly Interacting Dynamics beyond the Standard Model on a Spacetime Lattice
• Fixed point merger in the SU(N) gauge beta functions
• Topology of Minimal Walking Technicolor
• Phase Diagrams of Strongly Interacting Theories
• The Standard Model is Natural as Magnetic Gauge Theory
• A novel scheme for the wave function renormalization of the composite operators