Sökning: "Matematisk fysik"
Visar resultat 16 - 20 av 131 avhandlingar innehållade orden Matematisk fysik.
16. Spins and Giants : Fundamental Excitations in Weakly and Strongly Coupled ABJM Theory
Sammanfattning : The discovery of integrability on both sides of the duality between planar N=4 super Yang-Mills theory and free type IIB string theory in AdS5 × S5 has lead to great progress in our understanding of the AdS/CFT correspondence. Similar integrable structures also appear in the more recent three-dimensional superconformal N=6 Chern-Simons-matter theory constructed by Aharony, Bergman, Jafferis and Maldacena (ABJM), as well as in its gravity dual, type IIA string theory on AdS4 × CP3. LÄS MER
17. Yang-Mills Theory in Gauge-Invariant Variables and Geometric Formulation of Quantum Field Theories
Sammanfattning : In Part I we are dealing with effective description of Yang-Mills theories based on gauge-invarint variables. For pure Yang-Mills we study the spin-charge separation varibles. The dynamics in these variables resembles the Skyrme-Faddeev model. LÄS MER
18. Solving the quantum scattering problem for systems of two and three charged particles
Sammanfattning : A rigorous formalism for solving the Coulomb scattering problem is presented in this thesis. The approach is based on splitting the interaction potential into a finite-range part and a long-range tail part. In this representation the scattering problem can be reformulated to one which is suitable for applying exterior complex scaling. LÄS MER
19. Aspects of the Duality between Supersymmetric Yang-Mills Theory and String Theory
Sammanfattning : This thesis deals with three topics related to the Ads/CFT correspondence. In Paper I, solutions describing the geometry of fractional D1-branes of Type IIB string theory are presented. The running coupling constant is computed on the gauge theory side. LÄS MER
20. Quantum many-body systems exactly solved by special functions
Sammanfattning : This thesis concerns two types of quantum many-body systems in one dimension exactly solved by special functions: firstly, systems with interactions localised at points and solved by the (coordinate) Bethe ansatz; secondly, systems of Calogero-Sutherland type, as well as certain recently introduced deformations thereof, with eigenfunctions given by natural many-variable generalisations of classical (orthogonal) polynomials. The thesis is divided into two parts. LÄS MER