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Bachelor Topics for summer term 2022
Click on the titles to see more details, or have a look at the
slides of my short presentation
on Friday, 28 January 2022.
The application for bachelor theses in summer term 2022 is closed.
New topics will be announced in spring 2023.
Automatic construction of effective field theories
Effective Field Theories can describe physics beyond the Standard Model in a generic way. Their construction is algorithmic, but very cumbersome.
In this project, you will learn the concepts of Effective Field Theories and
contribute to developing an algorithm for their construction. This will be useful for the interpretation of data collected at the LHC and future colliders, in particular in the light of possible new discoveries.
Helpful prerequisites:
 Affinity to theoretical physics, mathematics, and possibly
computer algorithms.
Asymptotic expansions and the Gradient Flow
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 calculating nonstandard Feynman integrals.
Requirements:
 Affinity to mathematics and theoretical physics.
Feynman diagrams as a parlor game
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.
Schemes for γ_{5}
In quantum field theory, the chirality of fermions is implemented by
means of projectors in the spinor space containing a tensor named
γ_{5}. When moving from 4 to D dimensions, no natural
generalization of chirality exists, and different schemes (i.e. consistent
redefinitions of γ_{5}) may be employed to perform
calculations. The implementation of such schemes in an automated computer
code represents a valuable asset for modern phenomenological computations.
What to do
 Getting familiar with the concept of fermions and chirality in quantum field
theory, as well as with the Kreimer scheme
 Write a computer code that applies the Kreimer scheme to a given amplitude
and properly resolves LeviCivita pseudotensors
 Apply the program to the computation of a cross section
Helpful prerequisites:
 Interest in theoretical physics.
 Basic computing skills.
last updated on Feb 22, 2022 by RH
