On the Gribov ambiguity in the Polyakov string
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), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 29:4; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
Similar Records
The Quantum Equivalence of Nambu and Polyakov String Actions
Equivalence of reduced, Polyakov, Faddeev-Popov, and Faddeev path-integral quantization of gauge theories
Related Subjects
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY-VALUE PROBLEMS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONAL ANALYSIS
GAUGE INVARIANCE
INTEGRALS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
PARTICLE MODELS
PROPAGATOR
QUANTUM FIELD THEORY
QUARK MODEL
RIEMANN SPACE
SPACE
STRING MODELS