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Showing result 1 - 5 of 13 essays matching the above criteria.

  1. 1. An Introduction to Hitchin Systems

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Manuel Neumayer; [2023]
    Keywords : Mathematics and Statistics;

    Abstract : This thesis aims to introduce the tools that are needed to understand — and historically led to the inception of — Hitchin systems. We lay out a basic theory of Hamiltonian systems on symplectic manifolds, and prove the Liouville-Arnold theorem, which states that integrable Hamiltonian systems admit coordinates in which their solution is basically linear. READ MORE

  3. 2. Pure Yang-Mills amplitudes in 5 Dimensions : A study of vector boson amplitudes at 4 and 5 points

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Athanasios Voutouras; [2023]
    Keywords : Yang-Mills; Scattering; Amplitudes; QFT;

    Abstract : In this text we explore the case of pure Yang-Mills amplitudes in 5 spacetime dimensions for vector particles. Extending current toolsets such as the Spinor-Helicity formalism in 5D would be beneficial to the study of the various cases of super Yang-Mills and supergravity. READ MORE

  4. 3. Calculating scattering amplitudes in φ3 and Yang-mills theory using perturbiner methods

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Daniel Nilsson; Magnus Bertilsson; [2022]
    Keywords : QFT; Quantum; Quantum field theory; scattering amplitudes; Berends Giele Currents; feynman diagrams; n particle scattering;

    Abstract : We calculate tree-level scattering amplitudes in φ^3 theory and Yang-Mills theory by means of the perturbiner expansion. This involves solving the Euler-Lagrange equations of motion perturbatively via a multi-particle ansatz, and using Berends-Giele recursion relations to extract the solution from simple on-shell data. READ MORE

  5. 4. 2d Gauge Theories

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Zhou Zheng; [2022]
    Keywords : ;

    Abstract : The Yang-Mills gauge theories play prominent role in modern high energy physics and the direct non-perturbative calculations present the main challenge in the field.Two dimensional gauge theories provide a nice playground where it is possible to carry out exact computations and at the same time some non-trivial phenomena canbe studied. READ MORE

  6. 5. Exploring properties of a 10-dimensional pure spinor twistor transform

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Cesar Garcia; [2021]
    Keywords : String Theory; Twistors; Spinor-helicity variables;

    Abstract : In this review, several tools used in the study of super-Yang-Mills scattering amplitudes are discussed, namely spinor-helicity and (super)twistor variables. These variables are then implemented in string theories in 4D, and a suitable generalization to 10D using pure spinors is discussed. READ MORE