QCD fixed points: Banks-Zaksscenario or dynamical gluon mass generation?

Author(s)

Gomez, J. D. ; Natale, A. A.

• Document type: Journal article
• Source: International Journal of Modern Physics A; v. 32, n. 2-3 JAN 30 2017.
• Web of Science Citations: 0

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 (DGM) generation does lead to a fixed point even for a small number of quarks. We compare the BZ and DGM mechanisms, their beta 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 between N-f=8 and N-f=12 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 Nf values, are related to the dynamical gluon mass generation mechanism (AU)

• FAPESP's process: 13/22079-8 - Physics of particles and fields: standard model and its extensions
• Grantee: Adriano Antonio Natale
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 13/24065-4 - Strong interaction phenomenology
• Grantee: John David Gomez Aguirre
• Support Opportunities: Scholarships in Brazil - Doctorate