Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Advisor "Bahns, Dorothea Prof. Dr."
Now showing items 1-7 of 7
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Microlocal methods in quantum field theory
(2024-11-14)The renormalisation of Feynman diagrams is considered in the context of perturbative algebraic quantum field theory. The construction of Wick polynomials is related to the renormalisation of diagrams with short loops ... -
Higher Currents for the sine-Gordon Model in perturbative Algebraic Quantum Field Theory
(2024-09-19)The main results of this thesis are the establishment of the super-renormalizability by power counting and of the summability of an infinite number of (classically conserved) higher currents for the sine-Gordon model in ... -
Nocommutative structures inquantum field theory
(2021-10-19)In this thesis, structures defined via modular operads and properads are generalized to their non-commutative analogs. We define the connected sum for modular operads. This way we are able to construct the graded commutative ... -
Structure Analysis of the Pohlmeyer-Rehren Lie Algebra and Adaptations of the Hall Algorithm to Non-Free Graded Lie Algebras
(2021-06-14)The Pohlmeyer-Rehren Lie algebra $\mathfrak{g}$ is an infinite-dimensional $\mathbb{Z}$-graded Lie algebra that was discovered in the context of string quantization in $d$-dimensional spacetime by K. Pohlmeyer and his ... -
Continuous Wavelet Transformation on Homogeneous Spaces
(2021-03-29)The classical Continuous Wavelet Transformation (cCWT) is an important and well-studied tool in signal processing and data analysis. Because of its deep connection to representation theory, it has come into focus of pure ... -
Microlocal Analysis of Tempered Distributions
(2014-09-17)In this dissertation we study tempered distributions from the microlocal point of view. The fundamental notion of microlocal analysis, the wave front set, is replaced by two analogues, the SG-wave front set and the G-wave ... -
Singularities of two-point functions in Quantum Field Theory
(2013-08-28)The main topic of the present thesis is the study of singularities of two-point functions of spin-0 and spin-1/2 quantum fields, possibly set on curved spacetime or in the presence of smooth, external electromagnetic ...