Bachelor Thesis With Prof. Harlander in 2021

 

Low-energy theorems in field theory

Abstract:
Low-energy theorems facilitate calculations in quantum field theory. In this project, you will verify this with concrete cases from particle physics.

The student will learn:

  • Basic concepts from quantum field theory.
  • Its application in practical calculations.

Requirements:

  • Affinity to mathematics and theoretical physics.

Asymptotic Expansion and the Gradient-Flow

Abstract:
The gradient flow formalism has been suggested in 2010 to facilitate practical calculations in Lattice QCD. It has proven to be accessible also in perturbation theory and provides a promising link between the two approaches to strong interactions. In this project, you are going to develop means to calculate the resulting Feynman integrals in a systematic way.

The student will learn:

  • The general method of the gradient flow
  • Approaches to calculation non-standard Feynman integrals

Requirements:

  • Affinity to mathematics and theoretical physics.

Feynman Diagrams as a Parlor Game

Abstract:
Feynman diagrams provide a very algorithmic way to generate and represent processes in particle physics. In this project, you will devise a generalization of the parlor game Scrabble to Feynman diagrams.

The student will learn:

  • The algorithmic structure of Feynman diagrams

Requirements:

  • Interest in Feynman diagrams
  • Affinity to computer programming

The reality of virtual particles

Abstract:
Virtual particles are an essential component in the perturbative theoretical description of particle physics. In this project, you will study and compare various viewpoints on the virtual particle concept.

The student will learn:

  • Basic concepts of quantum field theory.
  • The critical assessment of interpretations of quantum physics.

Requirements:

  • Interest in particle physics and the history and philosophy of physics.

Epidemiological models from a physicist's perspective

Abstract:
Metrics for the SARS-CoV-2 virus are about as pervasive as the virus itself. Where do they come from, and how reliable and statistically significant are they? The models used to estimate the impact of various measures are not too different from various evolution models in physics. In this project, you are going to study the most popular ones among them, and investigate the correlations between the corresponding statistical uncertainties.

The student will learn:

  • to acquire expertise on a novel topic.

Requirements:

  • Basic programming skills.
  • Basic knowledge of statistics.