VERTEX GRAVITY · Gravitating Vertex Models
6РП — Действия „Мария Кюри“
- Период
- 2005-09-01 → 2007-08-31
- Финансиране от ЕС
- 152 809 €
- Участници
- 1
- Схема
- EIF
Линиите свързват координатора с партньорите.
Накратко на български
Разликите между правилни структури, като тези в кристалите, и неправилни, като в стъклото, определят поведението на материята. Тези модели помагат да се разбере как от хаос в микромащаб възниква ред в големи системи и защо съществува „стрелка на времето“.
Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.
Резултати накратко
Final Activity Report Summary - VERTEX GRAVITY (Gravitating vertex models)
The project was aimed at investigating how moving from regular structures, like those seen in crystals, to irregular structures such as those seen in other substances like glass affected the behaviour of matter. The techniques used to model such systems on computers can also be used to attempt to construct simplified models of gravitation that are suitable for computer simulation. In the latter case the interest is to see if order on larger scales can emerge from a much more chaotic picture at very small scales. Such investigations might hope to reveal why, for instance, we have "an arrow of time". During the course of the fellowship some very effective computer algorithms were developed for simulating such irregular systems and novel behaviour discovered in several cases, particularly so-called anti-ferromagnets where atoms want to be different from their immediate neighbours. A totally unexpected development was the application of the methods employed in the research to understanding (not predicting!) the distribution of football scores in various leagues and tournaments.
Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз
Цел на проекта
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.
Оригинален текст от CORDIS (на английски).
Участници
- HERIOT-WATT UNIVERSITY · EDINBURGHКоординаторОбединеното кралство
Връзки
Данни: CORDIS, © Европейски съюз