Quantum chromodynamics near the confinement limit

Technical Report · Sun Sep 01 00:00:00 EDT 1985

DOI:https://doi.org/10.2172/6128799· OSTI ID:6128799

Quigg, C

These nine lectures deal at an elementary level with the strong interaction between quarks and its implications for the structure of hadrons. Quarkonium systems are studied as a means for measuring the interquark interaction. This is presumably (part of) the answer a solution to QCD must yield, if it is indeed the correct theory of the strong interactions. Some elements of QCD are reviewed, and metaphors for QCD as a confining theory are introduced. The 1/N expansion is summarized as a way of guessing the consequences of QCD for hadron physics. Lattice gauge theory is developed as a means for going beyond perturbation theory in the solution of QCD. The correspondence between statistical mechanics, quantum mechanics, and field theory is made, and simple spin systems are formulated on the lattice. The lattice analog of local gauge invariance is developed, and analytic methods for solving lattice gauge theory are considered. The strong-coupling expansion indicates the existence of a confining phase, and the renormalization group provides a means for recovering the consequences of continuum field theory. Finally, Monte Carlo simulations of lattice theories give evidence for the phase structure of gauge theories, yield an estimate for the string tension characterizing the interquark force, and provide an approximate description of the quarkonium potential in encouraging good agreement with what is known from experiment.

• Research Organization: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
• DOE Contract Number: AC02-76CH03000
• OSTI ID: 6128799
• Report Number(s): FNAL/C-85/126-T; ON: DE86005451
• Resource Relation: Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM CHROMODYNAMICS
LECTURES
BOUND STATE
CONFINEMENT
COUPLING CONSTANTS
GAUGE INVARIANCE
LATTICE FIELD THEORY
MONTE CARLO METHOD
QUARKONIUM
STRING MODELS
COMPOSITE MODELS
DOCUMENT TYPES
EXTENDED PARTICLE MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
645400* - High Energy Physics- Field Theory