Critical properties and phase transitions in probabilistic cellular automata and s...
Aspects in Field Theory and connections with Statistical Mechanics
Phase behavior of non-spherical colloidal particles at high densities
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Aspects of Field Theory and Statistical Mechanics
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| Author(s): |
Pedro Rogério Sergi Gomes
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Física (IF/SBI) |
| Defense date: | 2013-02-15 |
| Examining board members: |
Marcelo Otavio Caminha Gomes;
Francisco Castilho Alcaraz;
Fernando Tadeu Caldeira Brandt;
Eduardo Cantera Marino;
Silvio Roberto de Azevedo Salinas
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| Advisor: | Marcelo Otavio Caminha Gomes |
| Abstract | |
Quantum field theory can be seen as a set of methods and ideas that, besides its importance in the study of the elementary particles, has been widely used in other areas. In particular, it constitutes an indispensable framework in the modern approach to phase transitions and critical phenomena. The origin of this constant relationship between field theory and condensed matter is due to the fact that despite their superficial differences, both deal with problems involving a large number of degrees of freedom. Thus, it is not surprising that the same techniques may be useful in both fields. This work addresses problems in these two areas and it is essentially divided in two parts. The first part is devoted to the study of field theories with an anisotropy between space and time, which implies a breaking of the Lorentz symmetry. One of the moti- vations for considering this kind of theory is precisely the study of phase transitions in condensed matter systems. Renormalization group analysis with emphasis on the possi- bility of restoration of the Lorentz symmetry and also a discussion about Ward identities are performed. In the second part, the attention is centered on statistical mechanics but with an approach typical of field theory, in particular, focused to the study of classical and quantum phase transitions from the quantized version of the spherical model and its supersymmetric extension. (AU) | |
| FAPESP's process: | 09/09586-2 - Noncommutative field theories |
| Grantee: | Pedro Rogerio Sergi Gomes |
| Support Opportunities: | Scholarships in Brazil - Doctorate |