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198119922003201420240510152025
Abstract: (APS)
We generalize the background-field method to lattice gauge theories. By evaluating the lattice partition function in a weak background lattice field for weak coupling we determine the relationship between the lattice definition of the coupling and that of dimensional regularization. This corresponds to a determination of the ratio of the renormalization scale parameters for these definitions. We find, for an SU(N) lattice gauge theory with the Wilson action, that (ΛM¯S¯ΛL)SU(N)=38.852704exp(−3π211N2).
  • LATTICE FIELD THEORY: BACKGROUND FIELD
  • COUPLING CONSTANT: RENORMALIZATION
  • RENORMALIZATION: COUPLING CONSTANT
  • RENORMALIZATION: REGULARIZATION
  • FIELD THEORY: LAMBDA PARAMETER
  • GAUGE FIELD THEORY: SU(N)
  • PERTURBATION THEORY
  • MODEL: WEAK COUPLING
  • WEAK COUPLING: MODEL
  • DEPENDENCE: GAUGE