6533b7d2fe1ef96bd125eb44

RESEARCH PRODUCT

Resizing the Conformal Window: A beta function Ansatz

Kimmo TuominenOleg Antipin

subject

PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)FOS: Physical sciencesConformal mapSupersymmetryFunction (mathematics)Astrophysics::Cosmology and Extragalactic AstrophysicsFixed pointTheoretical physicsHigh Energy Physics - PhenomenologyHigh Energy Physics::TheoryClassical mechanicsHigh Energy Physics - LatticeHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Gauge groupGauge theoryPerturbation theory (quantum mechanics)Ansatz

description

We propose an ansatz for the nonperturbative beta function of a generic non-supersymmetric Yang-Mills theory with or without fermions in an arbitrary representation of the gauge group. While our construction is similar to the recently proposed Ryttov-Sannino all order beta function, the essential difference is that it allows for the existence of an unstable ultraviolet fixed point in addition to the predicted Bank-Zaks -like infrared stable fixed point. Our beta function preserves all of the tested features with respect to the non-supersymmetric Yang-Mills theories. We predict the conformal window identifying the lower end of it as a merger of the infrared and ultraviolet fixed points.

https://dx.doi.org/10.48550/arxiv.0909.4879