The renormalization group and lattice QCD

Conference · Sun Jan 01 04:00:00 EST 1989

OSTI ID:5016964

Gupta, R

This report discusses the following topics: scaling of thermodynamic quantities and critical exponents; scaling relations; block spin idea of Kadanoff; exact RG solution of the 1-d Ising model; Wilson's formulation of the renormalization group; linearized transformation matrix and classification of exponents; derivation of exponents from the eigenvalues of {Tau}{sub {alpha}{beta}}; simple field theory: the gaussian model; linear renormalization group transformations; numerical methods: MCRG; block transformations for 4-d SU(N) LGT; asymptotic freedom makes QCD simple; non-perturbative {beta}-function and scaling; and the holy grail: the renormalized trajectory.

• Research Organization: Los Alamos National Lab., NM (USA)
• Sponsoring Organization: DOE/ER
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5016964
• Report Number(s): LA-UR-89-4210; CONF-8906267--3; ON: DE90004860
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CRYSTAL MODELS
FIELD THEORIES
FLOW MODELS
HAMILTONIANS
ISING MODEL
LATTICE FIELD THEORY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
SCALING LAWS
THERMODYNAMICS