From current to constituent quarks: A renormalization-group-improved Hamiltonian-based description of hadrons

Journal Article · Sat Feb 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.1578· OSTI ID:450558

Szczepaniak, A P; Swanson, E S ^[1]

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1. Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202 (United States)

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. {copyright} {ital 1997} {ital The American Physical Society}

• DOE Contract Number: FG02-96ER40944; FG05-88ER40461; FG05-90ER40589
• OSTI ID: 450558
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 3 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CONFINEMENT
HADRONS
HAMILTONIANS
MANY-BODY PROBLEM
MASS
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUARK CONDENSATION
QUARKS
RADIATIVE CORRECTIONS
RENORMALIZATION