σ\sigma Model Weyl Invariance Conditions and String Equations of Motion

Nov, 1986
29 pages
Published in:
  • Nucl.Phys.B 294 (1987) 383-411
  • Published: 1987
Report number:
  • LEBEDEV-86-342

Citations per year

19871996200520142023051015
Abstract: (Elsevier)
We obtain the operator expression for the Weyl anomaly in a general renormalizable bosonic σ-model with the metric, antisymmetric tensor and dilaton couplings. The necessity of accounting for total derivative terms in the renormalization of the composite dimension-2 operators is emphasized. The identity resulting from the non-renormalization of the trace of the σ-model energy-momentum tensor is derived and is applied to perturbative computation of the dilaton β-function. Correspondence between the vanishing of the Weyl anomaly coefficients and the equations of motion for the massless fields which follow from the string-theory effective action is discussed.
  • FIELD THEORY: TWO-DIMENSIONAL
  • FIELD THEORETICAL MODEL: SIGMA
  • NONLINEAR
  • ANOMALY: WEYL
  • TENSOR: ENERGY-MOMENTUM
  • RENORMALIZATION: REGULARIZATION
  • PERTURBATION THEORY: HIGHER-ORDER
  • RENORMALIZATION: BETA FUNCTION
  • MODEL: STRING
  • FIELD THEORY: EFFECTIVE ACTION
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