Objective
This project aims at studying the renormalization of non-commutative field theories in a systematic way. Recently H. Grosse and R. Wulkenhaar proved that one can cure the IR/UV mixing of such theories by adding a new term in the Lagrangian. For the non-com mutative phi**4 theory, this harmonic potential term makes the theory renormalizable to all orders.
An other model is renormalizable thanks to a similar procedure: the Gross-Neveu model on the Moyal plane. Nevertheless there is currently no way of computing the missing counterterm for other non-commutative spaces. The first part of the project will be devoted to the study of the space dependency of the renormalization procedure.
We will consider different quartically interacting models (as phi**4 or Gross-Neveu) on non-commutative spaces and find the appropriate counterterms. The second part will concern the regularisation properties of non-commutative spaces. The non-commutative phi**4 model exhibits bounded renormalization group flow. In contrast its commutative counterpart has unbounded flow.
The generality of such a feature will be studied. We also want to probe non-perturbative aspects of non-commutative field theories. We will use constructive techniques to define non-perturbatively such theories. Finally we want to examine the link between String theory and these new classes of non-commutative field theories.
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 theoretical physics particle physics particle accelerator
- natural sciences physical sciences relativistic mechanics
- natural sciences physical sciences quantum physics quantum field theory
- natural sciences physical sciences theoretical physics string theory
- natural sciences mathematics pure mathematics geometry
You need to log in or register to use this function
We are sorry... an unexpected error occurred during execution.
You need to be authenticated. Your session might have expired.
Thank you for your feedback. You will soon receive an email to confirm the submission. If you have selected to be notified about the reporting status, you will also be contacted when the reporting status will change.
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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.
FP6-2005-MOBILITY-5
See other projects for this call
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
WIEN
Austria
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.