Infrared enhanced analytic coupling and chiral symmetry breaking in QCD
Abstract
We study the impact on chiral symmetry breaking of a recently developed model for the QCD analytic invariant charge. This charge contains no adjustable parameters, other than the QCD mass scale Λ, and embodies asymptotic freedom and infrared enhancement into a single expression. Its incorporation into the standard form of the quark gap equation gives rise to solutions for the dynamically generated mass that display a singular confining behaviour at the origin. Using the Pagels-Stokar method we relate the obtained solutions to the pion decay constant fπ, and estimate the scale parameter Λ, in the presence of four active quarks, to be about 880 MeV.
- Publication:
-
Journal of Physics G Nuclear Physics
- Pub Date:
- September 2005
- DOI:
- 10.1088/0954-3899/31/9/002
- arXiv:
- arXiv:hep-ph/0504195
- Bibcode:
- 2005JPhG...31..997A
- Keywords:
-
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 14 pages, 3 figures