Objective
This project is concerned with integrable many-body systems of Calogero-Ruijsenaars type. It aims at finding new models, related algebraic structures, and connections to various field theories. The most important outcomes to be expected are the following:
1. Discovery of quantum and classical Lax pairs for hyperbolic, trigonometric, and elliptic relativistic models containing multiple couplings.
2. Solution of the classical and quantum dynamics of new compactified trigonometric relativistic systems.
3. Finding new and extending already existing links to quiver gauge theory and topological quantum field theory.
Integrable models of Calogero-Ruijsenaars type describe the pairwise interaction of equal-mass particles moving on a line or circle. The strength of particle interaction is regulated by a (real) number, the coupling parameter. Setting this parameter to zero means no interaction, i.e. free particles, while non-zero parameter values result in a complicated motion. This is due to the non-linear pair potential, of which we distinguish four types, named rational, hyperbolic, trigonometric, and elliptic. The particles can be thought of as either non-relativistic bodies obeying the laws of Newtonian mechanics or relativistic point masses with an upper speed limit (given by the speed of light). Integrable quantum mechanical versions also exist. In addition, Calogero-Ruijsenaars type systems have several generalisations preserving integrability, such as models in external fields (involving multiple couplings) or particles with spin (internal degrees of freedom). This profusion of variants enhances the importance of these systems. In fact, Calogero-Ruijsenaars type models are intimately related to various integrable systems of seemingly different character. These include soliton equations (e.g. Korteweg-de Vries equation and sine-Gordon equation), lattice models (e.g. Toda model), solvable spin and vertex models (e.g. Heisenberg XYZ model and 8-vertex model).
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.
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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.
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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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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.
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.
MSCA-IF-EF-ST - Standard EF
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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.
(opens in new window) H2020-MSCA-IF-2017
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
LS2 9JT Leeds
United Kingdom
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.