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19 April 2024 |
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QCD fixed points: Banks-Zaks or dynamical gluon mass generation? | | J.D.Gomez
; A.A.Natale
; | | Date: |
8 Apr 2016 | | Abstract: | Fixed points in QCD can appear when the number of quark flavors ($N_f$) is
increased above a certain critical value as proposed by Banks and Zaks (BZ).
There is also the possibility that QCD possess an effective charge indicating
an infrared frozen coupling constant. In particular, an infrared frozen
coupling associated to dynamical gluon mass generation (DGM) does lead to a
fixed point even for a small number of quarks. We compare the BZ and DGM
mechanisms, their $eta$ functions and fixed points, and within the
approximations of this work, which rely basically on extrapolations of the
dynamical gluon masses at large $N_f$, we verify that near the so called QCD
conformal window both cases exhibit fixed points at similar coupling constant
values ($g^*$). We argue that the states of minimum vacuum energy, as a
function of the coupling constant up to $g^*$ and for several $N_f$ values, are
related to the dynamical gluon mass generation mechanism. | | Source: | arXiv, 1604.2424 | | Services: | Forum | Review | PDF | Favorites | |
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