The geometrical interpretation of the Faddeev–Popov determinant in Polyakov’s theory of random surfaces

DOI10.1063/1.527327zbMath0633.58006OpenAlexW2021979750MaRDI QIDQ3771271

Zbigniew Jaskólski

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527327

zbMATH Keywords

Fubini theorembosonic stringtwo-dimensional quantum field theoryFaddeev-Popov proceduremeasures on manifoldsPolyakov's model

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Integration on manifolds; measures on manifolds (58C35) Applications of manifolds of mappings to the sciences (58D30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (3)

Elliptic operators in the functional quantisation for gauge field theories ⋮ The Faddeev-Popov procedure and application to bosonic strings: An infinite dimensional point of view ⋮ The integration of G-invariant functions and the geometry of the Faddeev- Popov procedure

Cites Work

• Geometry of SU(2) gauge fields
• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• Some remarks on the Gribov ambiguity
• Instantons and fermions in the field of instanton
• Quantization of Fields with Infinite-Dimensional Invariance Groups. III. Generalized Schwinger-Feynman Theory

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