Gauge theories on the lattice at N/sub c/ = infinity

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1982

OSTI ID:6960793

Cristofano, G A

The thesis is devoted to the study of the physical properties of the SU(N/sub c/) Yang Mills theory on the lattice at N/sub c/ = infinity. Since the lattice approach provides a natural framework toward a better understanding of nonperturbative phenomena, like quark confinement, nonperturbative physical quantities, like the string tension and the glueball mass are studied. The first two chapters are introductory in nature. In chapters (3,4) the strong coupling expansion for the Euclidean SU(N/sub c/) lattice gauge theory at N/sub c/ = infinity to 16th and 12th order in ..beta.. = 1/g/sub 0//sup 2/N/sub c/ for the free energy F and the string tension k respectively is performed. Estimates of the ratio ..sqrt..k/..lambda../sub L/ and of the crossover point from strong to weak coupling for the string tension are made by matching the strong coupling series to the asymptotically free continuum theory. In chapter (5) the strong coupling expansion for the glueball mass m/sub g/ to the 8th order in ..beta.. for the Euclidean SU(infinity) lattice gauge theory is performed. The ratio of the glueball mass m/sub g/ to the squareroot of the string tension ..sqrt..k for the SU(infinity) theory is estimated to be m/sub g//..sqrt..k = 2.6 +/- 0.2. It is found that the ratio m/sub g//..sqrt..k has a rather small dependence on N/sub c/ and appears to increase with the number of colors N/sub c/. In chapter (6) two-point Pade approximants for the one plaquette expectation value E/sub p/ for the SU(2) lattice gauge theory by using the known strong and weak coupling series for D/sub p/ is performed. Comparison with the correspondent Monte Carlo results is made, especially in the delicate transition region, at intermediate ..beta.. = 4/g/sub 0//sup 2/.

• Research Organization: California Univ., Santa Barbara (USA)
• OSTI ID: 6960793
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
GLUEBALLS
LATTICE FIELD THEORY
MASS
MATHEMATICAL MODELS
PADE APPROXIMATION
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
SERIES EXPANSION
STRING MODELS
STRONG-COUPLING MODEL
UNIFIED GAUGE MODELS
YANG-MILLS THEORY