QCD sum rules and the MIT bag
The QCD Sum Rules provide a theoretical method to compute the resonance masses of hadrons in terms of QCD parameters and a number of vacuum matrix elements like the quark and gluon condensates. But this method when analyzed in terms of a nonrelativistic potential model for charmonium has produced some considerable criticism. Also the MIT Bag has been a very successful resonance model for low lying hadrons. In order to examine the sum rule methodology and its criticism, a sum rule procedure for the MIT Bag is developed. The photon polarization operator in the Bag model is calculated using a prescription to remove the center of mass degrees of freedom. The SVZ moments are computed and the prediction of the ground state of charmonium is explored. In order to introduce confinement perturbatively, the multiple reflection expansion (MRE) of quark propagator is used and the resulting behavior of SVZ moments is studied. This investigation is also carried out in the case of exponential moments. The nonrelativistic expansion of these moments is also developed. The criticism of QCD sum rule approach is analyzed in this context. The analysis supports the validity of the criticism.
- Research Organization:
- South Carolina Univ., Columbia, SC (USA)
- OSTI ID:
- 6981889
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645200 -- High Energy Physics-- Particle Interactions & Properties-Theoretical
657000 -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BOSONS
CALCULATION METHODS
CHARMONIUM
COMPOSITE MODELS
DATA
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
HADRONS
INFORMATION
MATHEMATICAL MODELS
MESONS
NUMERICAL DATA
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKONIUM
QUARKS
SUM RULES
THEORETICAL DATA