Exact Gell-Mann-Low Function of Supersymmetric Yang-Mills Theories from Instanton Calculus

1983
13 pages
Published in:
  • Nucl.Phys.B 229 (1983) 381-393
  • Published: 1983
Report number:
  • ITEP-89-1983

Citations per year

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Abstract: (Elsevier)
The instanton contribution to the vacuum energy in supersymmetric Yang-Mills theories is considered. Using the renormalizability of the theory we find the exact beta function for n -extended supersymmetry ( n = 1, 2, 4). The coefficients of the beta function have a geometrical meaning: they are associated with the number of boson and fermion zero modes in the instanton field. If extra matter superfields are added our method allows one to fix the first two coefficients. We prove a non-renormalization theorem which extends the cancellation of vacuum loops to the case of the external instanton field.
  • GAUGE FIELD THEORY: YANG-MILLS
  • SUPERSYMMETRY: MULTIPLET
  • MULTIPLET: SUPERSYMMETRY
  • RENORMALIZATION GROUP: GELL-MANN-LOW
  • GAUGE FIELD THEORY: VACUUM STATE
  • vacuum state: energy STATE
  • FIELD EQUATIONS: INSTANTON
  • RENORMALIZATION: BETA FUNCTION