Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-09-30
Phys.Rev. D55 (1997) 1578-1591
Physics
High Energy Physics
High Energy Physics - Phenomenology
36 pages, RevTeX, 5 ps figures included
Scientific paper
10.1103/PhysRevD.55.1578
A model which combines the perturbative behavior of QCD with low energy phenomenology in a unified framework is developed. This is achieved by applying a similarity transformation to the QCD Hamiltonian which removes interactions between the ultraviolet cutoff and an arbitrary lower scale. Iteration then yields a renormalization group improved effective Hamiltonian at the hadronic energy scale. The procedure preserves the standard ultraviolet behavior of QCD. Furthermore, the Hamiltonian evolves smoothly to a phenomenological low energy behavior below the hadronic scale. This method has the benefit of allowing radiative corrections to be directly incorporated into nonperturbative many-body techniques. It is applied to Coulomb gauge QCD supplemented with a low energy linear confinement interaction. A nontrivial vacuum is included in the analysis via a Bogoliubov-Valatin transformation. Finally, the formalism is applied to the vacuum gap equation, the quark condensate, and the dynamical quark mass.
Swanson Eric S.
Szczepaniak Adam P.
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