Some Analytic Results Concerning the Mass Spectrum of Yang-Mills Gauge Theories on a Torus

Dec, 1982
29 pages
Published in:
  • Nucl.Phys.B 219 (1983) 233-261
  • Published: 1983
Report number:
  • BUTP-23/1982

Citations per year

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Abstract: (Elsevier)
When non-abelian gauge fields are enclosed in a box with periodic boundary conditions, the spectrum of the hamiltonian becomes discrete and the energy values can be expanded in a power series of ifλ = g 2 3 (g: renormalized coupling constant) . A method to obtain these expansions is explained and worked out to one-loop order. No numbers for the low-lying levels are given here, but some interesting properties of the mass spectrum already become visible.
  • GAUGE FIELD THEORY: YANG-MILLS
  • GAUGE FIELD THEORY: FOUR-DIMENSIONAL
  • PARTICLE: MASS SPECTRUM
  • MASS SPECTRUM: PARTICLE
  • DEPENDENCE: BOUNDARY CONDITION
  • QUANTUM MECHANICS
  • ENERGY LEVELS
  • PERTURBATION THEORY: HIGHER-ORDER
  • GAUGE FIELD THEORY: SU(N)
  • FIELD THEORY: EFFECTIVE HAMILTONIANS