Lusoli, Stefano
(2024)
Diagrammatic encoding of sine-Gordon model TBA equations.
[Laurea magistrale], Università di Bologna, Corso di Studio in
Physics [LM-DM270]
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Abstract
In this work it is presented a study on the sine-Gordon model thermodynamic Bethe Ansatz (TBA) equations, with particular emphasis on its underlying mathematical structures and diagrammatic encoding.
An outline of the sine-Gordon model foundations and main features, it is proposed an in-depth review of the TBA system derivation up to its 'raw' formulation. Some Fourier-space identities are introduced in order to simplify the equations and bring them in their 'universal' form. This is done for all the rational values of the sine-Gordon parameter. The 'universal' TBA equations enjoy a diagrammatic representation that casts light on the inherent mathematical structures of the theory. The Y-system formulation is also considered at reflectionless points: possible generalizations are discussed.
Abstract
In this work it is presented a study on the sine-Gordon model thermodynamic Bethe Ansatz (TBA) equations, with particular emphasis on its underlying mathematical structures and diagrammatic encoding.
An outline of the sine-Gordon model foundations and main features, it is proposed an in-depth review of the TBA system derivation up to its 'raw' formulation. Some Fourier-space identities are introduced in order to simplify the equations and bring them in their 'universal' form. This is done for all the rational values of the sine-Gordon parameter. The 'universal' TBA equations enjoy a diagrammatic representation that casts light on the inherent mathematical structures of the theory. The Y-system formulation is also considered at reflectionless points: possible generalizations are discussed.
Tipologia del documento
Tesi di laurea
(Laurea magistrale)
Autore della tesi
Lusoli, Stefano
Relatore della tesi
Scuola
Corso di studio
Indirizzo
THEORETICAL PHYSICS
Ordinamento Cds
DM270
Parole chiave
TBA,sine-Gordon model,Y-system,scattering theory,conformal field theory,Dynkin diagrams,Zamolodchikov identities,Takahashi-Suzuki identities
Data di discussione della Tesi
27 Marzo 2024
URI
Altri metadati
Tipologia del documento
Tesi di laurea
(NON SPECIFICATO)
Autore della tesi
Lusoli, Stefano
Relatore della tesi
Scuola
Corso di studio
Indirizzo
THEORETICAL PHYSICS
Ordinamento Cds
DM270
Parole chiave
TBA,sine-Gordon model,Y-system,scattering theory,conformal field theory,Dynkin diagrams,Zamolodchikov identities,Takahashi-Suzuki identities
Data di discussione della Tesi
27 Marzo 2024
URI
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