Stability of String Vacua. 1. A New Picture of the Renormalization Group

Jan, 1986
55 pages
Published in:
  • Nucl.Phys.B 273 (1986) 413-467
  • Published: 1986
Report number:
  • RU-85-51

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Abstract: (Elsevier)
Ordinary second-quantized field theories are rearranged to look like first-quantized strings expanded around an unstable classical vacuum. The β function of the field theory becomes the tadpole amplitude of the string, the anomalous dimensions become the string mass matrix. This map should be useful in both directions: it gives a new picture of renormalization, and it shows how to do spontaneous symmetry breaking for strings. Dynamical symmetry breaking, where string loop divergences cancel against those of the 2D field theory, is also conceivable.
  • MODEL: STRING
  • FIELD THEORY: VACUUM STATE
  • QUANTIZATION
  • RENORMALIZATION GROUP: BETA FUNCTION
  • SPONTANEOUS SYMMETRY BREAKING
  • DYNAMICAL SYMMETRY BREAKING
  • PERTURBATION THEORY: HIGHER-ORDER
  • SYMMETRY: DILATION
  • CORRECTION: OFF-SHELL
  • FIELD THEORY: TWO-DIMENSIONAL