Conformal techniques in string theory and string field theory
The application of some conformal and Riemann surface techniques to string theory and string field theory is described. First a brief review of Riemann surface techniques and of the Polyakov approach to string theory is presented. This is followed by a discussion of some features of string field theory and of its Feynman rules. Specifically, it is shown that the Feynman diagrams for Witten's string field theory respect modular invariance, and in particular give a triangulation of moduli space. The Polyakov formalism is then used to derive the Feynman rules that should follow from this theory upon gauge-fixing. It should also be possible to apply this derivation to deduce the Feynman rules for other gauge-fixed string field theories. Following this, Riemann surface techniques are turned to the problem of proving the equivalence of the Polyakov and light-cone formalisms. It is first shown that the light-cone diagrams triangulate moduli space. Then the Polyakov measure is worked out for these diagrams, and shown to equal that deduced from the light-cone gauge fixed formalism. Also presented is a short description of the comparison of physical states in the two formalisms. The equivalence of the two formalisms in particular constitutes a proof of the unitarity of the Polyakov framework for the closed bosonic string.
- Research Organization:
- Princeton Univ., NJ (USA)
- OSTI ID:
- 5741127
- Resource Relation:
- Other Information: Thesis (Ph.D)
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
STRING MODELS
CONFORMAL MAPPING
FEYNMAN DIAGRAM
GAUGE INVARIANCE
LIGHT CONE
MATHEMATICAL SPACE
QUANTUM FIELD THEORY
RIEMANN SPACE
UNITARITY
COMPOSITE MODELS
DIAGRAMS
EXTENDED PARTICLE MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
MAPPING
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
SPACE
SPACE-TIME
TOPOLOGICAL MAPPING
TRANSFORMATIONS
645400* - High Energy Physics- Field Theory