Banca de DEFESA: GREYSON JANUARIO COELHO SILVA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : GREYSON JANUARIO COELHO SILVA
DATA : 11/04/2018
HORA: 09:00
LOCAL: Auditório do DFTE
TÍTULO:

Gauge symmetries, effective fields theories and curves in three dimensions

PALAVRAS-CHAVES:

differential geometry, gauge symmetry, effective field theory, spontaneous symmetry breaking, solitons

PÁGINAS: 100
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
RESUMO:

The effective theories of curves described by gauge theories are analyzed with the intent to apply them to modeling physics of extended quasi-one dimensional systems, such as protein molecules, elastic cords, or even vortices in superconductivity. In this study one perceives how the geometry of curves, apparently simple, can be related to subjects of paramount importance for Physics or even Biology. In this work we start with Frenet equations that model curves and consequently introduce gauge symmetries, the spontaneous symmetry breaking, as well as solitary waves. With the aid of the idea of effective gauge theories, the mathematical framework is elaborated to produce an energy functional, through which one can arrive at the equations that govern the dynamics of curves, being prototypes of long molecules. It was shown graphically that the most simple theoretical model can adapt the basic secondary structures of proteins, called $\alpha$-helix and $\beta$-strand. The properties of the potential of the theory have been analyzed together with  characteristics of the structure of curves such as folds, which reflect the supersecondary structures of proteins (structural motifs). The classical and quantum stability properties have been studied using the standard field theory methods. It was shown that the motifs, realized in the model as static solitons, are unstable configurations in the limit of infinite smooth curves, which preserve translational symmetry.

MEMBROS DA BANCA:
Externo à Instituição - DIONISIO BAZEIA FILHO - UFPB
Presidente - 2335088 - DMITRY MELNIKOV
Externo à Instituição - FARINALDO DA SILVA QUEIROZ - UFRN
Interno - 1294916 - MADRAS VISWANATHAN GANDHI MOHAN