Phase transition and critical phenomena in two-dimensional discrete quantum gravity
| Grant number: | 14/18810-1 |
| Support type: | Scholarships in Brazil - Post-Doctorate |
| Effective date (Start): | December 01, 2014 |
| Effective date (End): | August 29, 2016 |
| Field of knowledge: | Physical Sciences and Mathematics - Probability and Statistics |
| Principal Investigator: | Serguei Popov |
| Grantee: | José Javier Cerda Hernández |
| Home Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| Associated scholarship(s): | 15/16407-8 - Phase transition and critical phenomena in two-dimensional discrete quantum gravity, BE.EP.PD |
Abstract The project is focused on the study of bond percolation on causal triangulations (CTs) or Lorentzian random graph and phase transition of spin system coupled to CTs. From a physical point of view it is interesting to study various models of gravity-matter, such as the Ising and Potts models coupled to CTs. Based in the relation between percolation and phase transition of spin systems, the project will study bond percolation on CTs in the quenched case. Unlike the classical examples, here the enviroment in which the percolation occurs is itself random, this means that the techniques needed to establish the critical probability are rather different. There exists a conjecture that the critical value equals 1/2. | |