The Exact mass gap of the supersymmetric cp**(n-1) sigma model

Sep, 1994
11 pages
Published in:
  • Phys.Lett.B 343 (1995) 198-206
e-Print:
Report number:
  • CERN-TH-7426-94,
  • SWAT-93-94-42

Citations per year

199520032011201920252104
Abstract:
A formula for the mass-gap of the supersymmetric \CP~{n-1} sigma model (n>1n > 1) in two dimensions is derived: m/ΛMS=sin(πΔ)/(πΔ)m/\Lambda_{\overline{\rm MS}}=\sin(\pi\Delta)/(\pi\Delta) where Δ=1/n\Delta=1/n and mm is the mass of the fundamental particle multiplet. This result is obtained by comparing two expressions for the free-energy density in the presence of a coupling to a conserved charge; one expression is computed from the exact S-matrix of K\"oberle and Kurak via the thermodynamic Bethe ansatz and the other is computed using conventional perturbation theory. These calculations provide a stringent test of the S-matrix, showing that it correctly reproduces the universal part of the beta-function and resolving the problem of CDD ambiguities.
  • field theoretical model: CP(N-1)
  • supersymmetry
  • dimension: 2
  • S-matrix
  • charge: conservation law
  • Bethe ansatz
  • perturbation theory
  • mass spectrum
  • energy