Studio della fase riconfinata di teoria SU(2) di Yang-Mills con deformazione di traccia in 2+1 dimensioni

The aim of my thesis is to study the reconfined phase in SU(2) trace deformed Yang-Mills theory. In particular, the main objectives are the study of the reconfinement phase transition and understanding more about the effective string in the reconfined phase. There is not much work done on the effective string in the reconfined regime, therefore the aim of this thesis is to understand more about the subject. This is done by comparing the string in the reconfined regime to the one living in the confined phase of the pure Yang-Mills theory. To make this comparison and to possibly discover new empirical relationships, I extensively used Markov chain Monte-Carlo computer simulations in a lattice setting. In order to simulate such systems I used powerful high performance computing facilities. The main results and contribution are regarding the nature of the phase transition and the type of string in the reconfined regime, which is found to be different from the Nambu-Goto string of the theory without trace-deformation. ​