Solitonic Solutions in the abelian-higgs model with fermions

Postgraduate Thesis uoadl:1319735 542 Read counter

Unit:
Τομέας Πυρηνικής Φυσικής και Φυσικής Στοιχειωδών Σωματιδίων
Library of the School of Science
Deposit date:
2015-12-23
Year:
2015
Author:
Χατζηαγαπίου Ανδρέας
Supervisors info:
Διάκονος Φώτιος Αναπλ. Καθηγητής (Επιβλέπων),Μαϊντάς Ξάνθος Επίκ. Καθηγητής,Τσάπαλης Αντώνιος Επίκ. Καθηγητής
Original Title:
Σολιτονικές λύσεις στο αβελιανό μοντέλο higgs παρουσία φερμιονικής ύλης
Languages:
Greek
Translated title:
Solitonic Solutions in the abelian-higgs model with fermions
Summary:
Solitary waves constitute an important class of nonlinear solutions in Physics,
and they appear as traveling waves of the corresponding
Classical Field Theory. Their main characteristics are finite energy as well as
well-localized energy density and additionally, a subset of them, characterized
as solitons, has the interesting feature of maintaining asymptotically the form
of the solution. Furthermore, due to their longevity, compared with the
lifetime of their background, solitary waves are a very promising tool in the
description of particle resonances and bound systems.
The aim of this dissertation is to present the application of the technique of
multiple scales in the abelian theory, as a theoretical description of
superconductivity within the effective field theory. The new feature of the
present study is the inclusion of both the condensed Cooper pairs, which
formulate the scalar field and the non-condensed electron pairs with opposite
spin orientation, described by the Dirac equation. Specifically, we consider
the possibility that these two pairs are in a dynamic balance and we check if
there are stable solutions when the fields are strongly coupled together. It
will be shown that this dynamic equilibrium is unstable and phenomenologically
not consistent with Josephon diode due to the fact that the solution space is
governed by a particular class of solitary waves called kinks, which are the
cause of this instability.
Keywords:
Solitons, Gauge Theories, Superconductivity, Classical Fields, Multiple Scales Technique
Index:
No
Number of index pages:
0
Contains images:
Yes
Number of references:
29
Number of pages:
45
File:
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