Abstract
We will discuss some recent results in the determination of the location of the conformal window in SU(2) gauge theory with N f fermions in the fundamental representation of the gauge group. In particular, we will demonstrate that the long distance behavior of the continuum theory with N f = 6 is governed by an infrared stable fixed point.
Highlights
Determination of the vacuum phase of an SU(N) gauge theory with N f massless flavors of Dirac fermions provides a basic problem for our current understanding of perturbative and nonperturbative gauge theory dynamics
In the case of fermions transforming in the fundamental representation of the gauge group the following quantitative features have been established: At small
The infrared stable fixed point (IRFP) in typical cases is at strong coupling, making the determination of the lower boundary of the conformal window
Summary
Determination of the vacuum phase of an SU(N) gauge theory with N f massless flavors of Dirac fermions provides a basic problem for our current understanding of perturbative and nonperturbative gauge theory dynamics. Between N(fc) ≤ N f ≤ 11N/2, inside the so-called conformal window, the long distance behaviour is expected to become governed by a nontrivial infrared stable fixed point (IRFP), and the vacuum phase of the theory has infrared conformal behavior. One particular benchmark theory which has been thoroughly investigated is SU(2) gauge theory with two Dirac fermions in the adjoint representation [1,2,3]. This theory shows clear indications for the existence of an IRFP.
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