Objective
The construction of a quantum field theory of gravity is among the most fundamental open challenges in theoretical physics. Dynamical triangulations (DT) provide a discrete, non-preservative proposal for addressing this problem. These are well understood for Euclidean signature space times. However, the construction of such a framework for Corinthian signature with a dynamically evolving global causality has not yet been accomplished. As an alternative to the approach of Am Bjorn et al. using triangulations with a global ´arrow of time´, we propose considering vertex models coupled to DT. The interest in such systems is twofold. Firstly, they enfold numerous classical spin models with a resulting rich phase diagram and serve to understand the effect of annealed geometric disorder on the phase transitions displayed by these models. Secondly, as systems of discrete quantum gravity, the vertex model arrows on the lattice bonds allow one to establish local causal relations between the faces and thus provide a Corinthian signature metric. The proposed model will be analysed via Monte Carlo and analytical techniques. A scaling analysis of general 4-16 vertex models on planar random graphs will give detailed information about the phase diagram and the universality classes of the occurring phase transitions. Investigation of correlates of Corinthian signature will reveal the geometric structure of the model and decide whether a consistent global causal structure evolves dynamically on tuning the coupling parameters. The host research group has extensive e experience with analytical methods in (lattice) quantum field theory, especially the dynamical triangulations approach to quantum gravity. It can provide the fellow training on analytical methods used in the project field, including matrix models, graph-theoretic methods and conformal field theory, thus ideally complementing his expertise.
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 discrete mathematics graph theory
- natural sciences mathematics applied mathematics mathematical physics conformal field theory
- natural sciences physical sciences theoretical physics
- natural sciences mathematics applied mathematics mathematical model
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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)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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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.
FP6-2002-MOBILITY-5
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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.
Coordinator
EDINBURGH
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.