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Integrability and Thermodynamics of the Gross-Neveu Model
KTH, School of Engineering Sciences (SCI), Physics.
2023 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesisAlternative title
Integrerbarhet och termodynamik i Gross-Neveu-modellen (Swedish)
Abstract [en]

The Gross-Neveu model is a quantum field theory of interacting N-flavor fermions in 1+1dimensions, with interaction term $(\bar{\psi}_f\psi_f )^2$. This model is studied using the property offactorized scattering. The spectrum of bound states including the kinks are discussed andthe thermodynamic state equations are derived using the thermodynamic Bethe ansatz.The full particle-particle integral kernel and corresponding S-matrix is derived startingfrom the Gross-Neveu version of the Y -system introduced by Zamolodchikov.

Abstract [sv]

Gross-Neveu-modellen är en kvantfältteori som beskriver N identiska versioner av fundamentala fermioner i 1 + 1 dimensioner, växelverkande med potentialen $(\bar{\psi}_f\psi_f )^2$. Modellen studeras med utgångspunkt i partiklarnas så kallade faktoriserade spridning. Samtligafysikaliska bundna tillstånd inklusive solitonerna diskuteras och de termodynamiska tillståndsekvationerna härleds med hjälp av Bethe-ansatsen. Alla integralkärnor och motsvarande S-matriselement beräknas på sluten form utifrån Y-systemet som först beskrevs av Zamolodchikov.

Place, publisher, year, edition, pages
2023.
Series
TRITA-SCI-GRU ; 2023:328
Keywords [en]
Mathematical Physics, Quantum Field Theory, Bethe Ansatz, Gross-Neveu Model
Keywords [sv]
Matematisk fysik, kvantfältteori, Bethe-ansatsen, Gross-Neveu-modellen
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-337843OAI: oai:DiVA.org:kth-337843DiVA, id: diva2:1803505
External cooperation
Nordita
Subject / course
Physics
Educational program
Master of Science - Engineeering Physics
Supervisors
Examiners
Available from: 2023-10-09 Created: 2023-10-09 Last updated: 2023-10-13Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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