The background field method and the linearization problem for Poisson manifolds

DOI10.1016/j.nuclphysb.2004.10.046zbMath1137.81369arXivhep-th/0403265OpenAlexW1971217781MaRDI QIDQ874583

Andrea Quadri, Pietro Antonio Grassi

Publication date: 10 April 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0403265

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization in field theory; cohomological methods (81T70)

Cites Work

• The local structure of Poisson manifolds
• Dilaton gravity in two dimensions
• Linearization of Poisson brackets
• Two-dimensional gravity and nonlinear gauge theory
• Quantum aspects of the Seiberg-Witten map in noncommutative Chern-Simons theory
• Target space equivariant cohomological structure of the Poisson sigma model.
• Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory
• The abelian anti-ghost equation for the standard model in the 't Hooft background gauge
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• Local BRST cohomology in gauge theories
• A path integral approach to the Kontsevich quantization formula.
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• Path integral quantization of the Poisson-Sigma model
• Algebraic Renormalization
• One-loop Kähler potential in non-renormalizable theories.
• Construction of non-Abelian gauge theories on noncommutative spaces
• The algebraic method
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