Bachelor Thesis With Prof. Harlander in 2023
Renormalization of effective field theories
Abstract:
Renormalization of Effective Field Theories (EFTs) is highly complicated in general. However, in practical calculations, one can restrict oneself to small sectors of the EFT. The goal of this thesis is to determine these sectors in a general way for an arbitrary EFT. In this project, you will learn the basic concepts of Effective Field Theories and their renormalization.
Helpful pre-requisites:
- Affinity to theoretical physics and computer algorithms.
The static force in QCD using the gradient flow formalism
Abstract:
The static force in QCD is a central tool for studying the the nature of strong interactions. A comparison of perturbative and lattice calculations would provide an ideal way to determine the strong coupling constant from first principles. However, the lattice calculation is hampered by slow numerical convergence.
The gradient flow formalism provides a way to circumvent this problem. The goal of this project is to calculate the static for in the gradient flow formalism in the simplest approximation. This will establish a proof of concept for a more general investigation.
The student will learn:
- The general method of the gradient flow
- Approaches to calculating non-standard Feynman integrals.
Requirements:
- Affinity to mathematics and theoretical physics.
FeynGame development
Abstract:
FeynGame allows to produce high-quality images of Feynman diagrams in a very simple way. In this project, you will develop an interface to qgraf, which generates Feynman diagrams for a certain physical process in an automatic way.
The student will learn:
- The algorithmic structure of Feynman diagrams.
Requirements:
- Interest in Feynman diagrams
- Affinity to computer programming