Elliptic operators in the functional quantisation for gauge field theories

DOI10.1007/BF02099883zbMath0815.58030OpenAlexW2029854628MaRDI QIDQ1344264

Sylvie Paycha

Publication date: 30 June 1995

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

Full work available at URL: https://doi.org/10.1007/bf02099883

zbMATH Keywords

Yang-Mills theorygauge theorystring theoryanomaliesquantisationFaddeev-Popov determinant

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Elliptic equations on manifolds, general theory (58J05) Applications of PDEs on manifolds (58J90)

Cites Work

• Global aspects of fixing the gauge in the Polyakov string and Einstein gravity
• Determinants, torsion, and strings
• Geometry of SU(2) gauge fields
• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• A global and stochastic analysis approach to bosonic strings and associated quantum fields
• The Faddeev-Popov procedure and application to bosonic strings: An infinite dimensional point of view
• Some remarks on the Gribov ambiguity
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• The geometrical interpretation of the Faddeev–Popov determinant in Polyakov’s theory of random surfaces
• Elliptic operators and the decomposition of tensor fields
• The inverse function theorem of Nash and Moser
• The Manifold of Conformally Equivalent Metrics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Elliptic operators in the functional quantisation for gauge field theories