On the Gribov ambiguity in the Polyakov string
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
The global aspects of the gauge fixing in the Polyakov path integral for the bosonic string are considered within the Ebin--Fischer--Mareden approach to the geometry of spaces of Riemannian metrics and conformal structures. It is shown that for surfaces of higher genus, the existence of local conformal gauges is sufficient to derive the globally defined integral over the Teichmueller space. The generalized Faddeev--Popov procedure for incomplete gauges is formulated and used to derive the global expression for the Polyakov path integral in the cases of torus and sphere. The Gribov ambiguity in the functional integral over surfaces without boundary can be successfully overcome for arbitrary genus.
- Research Organization:
- International School for Advanced Studies (ISAS), Trieste, Italy
- OSTI ID:
- 5437077
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Vol. 29:4
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM FIELD THEORY
STRING MODELS
BOUNDARY-VALUE PROBLEMS
FEYNMAN PATH INTEGRAL
FUNCTIONAL ANALYSIS
GAUGE INVARIANCE
INTEGRALS
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RIEMANN SPACE
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM FIELD THEORY
STRING MODELS
BOUNDARY-VALUE PROBLEMS
FEYNMAN PATH INTEGRAL
FUNCTIONAL ANALYSIS
GAUGE INVARIANCE
INTEGRALS
PROPAGATOR
RIEMANN SPACE
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
PARTICLE MODELS
QUARK MODEL
SPACE
645400* - High Energy Physics- Field Theory
657003 - Theoretical & Mathematical Physics- Relativity & Gravitation