Objective
Quantum field theories are the basis of most of modern theoretical physics, but they are not well understood mathematically. Although algebraic quantum field theory provides a framework for describing quantum field theories mathematically, there has been little success at constructing specific models, particularly of gauge theories.
On the other hand, the relationship between classical and quantum mechanics has been abstracted and studied in terms of deformation quantization, and the construction of quantum mechanics has been systematized as geometric quantization, and Berezin-Toeplitz quantization. The objective of the proposed project is to take the first steps toward a similar systematic construction for quantum field theories.
Such a construction would be a powerful tool for understanding quantum field theory. Unfortunately, the phase space (space of solutions) of a classical field theory is infinite-dimensional. I propose that this obstacle may be overcome by treating the phase space through the multisymplectic formulation, which uses the finite-dimensional differential geometry of space-time.
By carrying out the first steps of this program at the host institution, I hope to gain the necessary skill and experience to complete the program and eventually formulate and apply the desired quantization construction.
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
- natural sciences physical sciences theoretical physics
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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
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2002-MOBILITY-7
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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.
IIF - Marie Curie actions-Incoming International Fellowships
Coordinator
NIJMEGEN
Netherlands
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.