Objective
Research objectives and content
Content of the project: Anomalies in quantum field theory are being studied from various, quite different points of view. Recently, new mathematical tools have been developed which allow to study anomalies from corresponding viewpoints in noncommutative geometry. This study will provide first entries in a dictionary between quantum field theory and basic quantities used in noncommutative geometry. The pseudodifferential calculus for general spectral triples and the related version of the Wodzicki residue will be the main tools for the project.
Objectives of the project: The project aims towards a definition of a path integral in noncommutative geometry. The pseudodifferential calculus for spectral triples and other notions in noncommutative geometry are expected to be powerfull tools for this purpose which ultimately will allow to narrow the gap between the language of noncommutative geometry and that of quantum field theory. Because of the wider generality of the `noncommutative point of view' and the new interpretation of gauge transformations as `fluctuations of the metric', this project could shed new light on the nature and the source of anomalies.
Training content (objective, benefit and expected impact) With respect to the needed skills (quantum field theory, noncommutative geometry, geometric analysis) the IHES is the ideal place to carry out the project, because it gathers in a unique way exellent experts in these fields. The possibility to work with A. Connes, K. Gawedzki and D. Sullivan and to discuss with visitors provides a perfect training in quantum field theory and the mathematical background of noncommutative geometry.
Links with industry / industrial relevance (22)
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences physical sciences quantum physics quantum field theory
- natural sciences mathematics pure mathematics geometry
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
91440 BURES-SUR-YVETTE
France
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.