Browsing Naturwissenschaften, Mathematik und Informatik by Referee "Rehren, Karl-Henning Prof. Dr."
Now showing items 1-14 of 14
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Constructive aspects of string-localized quantum field theory
(2022-05-03)String-localized quantum field theory (SLFT) as an alternative to gauge theory has been under investigation for the last decade because of its conceptual benefits. This thesis is dedicated to the development and investigation ... -
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 ... -
High resolution scattering spectropolarimetry of the quiet solar photosphere
(2021-01-14)In this thesis we investigate small-scale scattering polarization signals in quiet, internetwork (IN) regions of the lower solar atmosphere. Small-scale polarization signals are inherently hard to observe due to their ... -
Refining the chemical and kinetic decoupling description of thermally produced dark matter
(2019-03-26)The first part of this thesis deals with refined theoretical predictions of the thermal relic abundance for weakly interacting massive particles (WIMPs). Methods are developed in a model independent way to describe the ... -
Generalized Seiberg-Witten and the Nahm Transform
(2019-01-11)Using the viewpoint of principal bundles on hyperk¨ ahler reductions, we recover the results of Gocho and Nakajima [GN92] and give insights into the role that the quater- nions play. We define a framework for dimensional ... -
Shape space in terms of Wasserstein geometry and application to quantum physics
(2018-11-26)This thesis offers a mathematical framework to treat quantum dynamics without reference to a background structure, but rather by means of the change of the shape of the state. For this, Wasserstein geometry is used. The ... -
New topological and index theoretical methods to study the geometry of manifolds
(2018-07-31)For a $\mathit{Spin}$ manifold $M$ the Rosenberg index $\alpha([M])$ is an obstruction against positive scalar curvature metrics. When $M$ is non-$\mathit{Spin}$ but $\mathit{Spin}^c$, Bolotov and Dranishnikov suggested ... -
Decaying Dark Matter models at colliders
(2016-04-07)After the first run of LHC, no signal of new physics has been found in terms of the DM motivated channels containing missing energy. Even though the next LHC run could still detect a WIMP-like signal, especially from the ... -
Modular structure of chiral Fermi fields in conformal quantum field theory
(2014-09-19)The following thesis deals with the modular theory of Fermi fields in low dimensions; in particular, making use of the algebraic approach to quantum field theory, we have investigated the behaviour of two- dimensional ... -
A Characterization Theorem for Local Operators in Factorizing Scattering Models
(2013-01-10)In quantum field theory, the rigorous construction of local observables in the presence of nontrivial interaction is a crucial problem. In a class of integrable quantum field theories, a very abstract existence proof ... -
Superconformal Invariants and Correlation Functions
(2012-06-28)Results of the past decade on global conformal field theories within the framework of Wightman axioms raise the question of possible analogues for theories with superconformal symmetry. In this dissertation we establish ... -
Local Equilibrium States in Quantum Field Theory in Curved Spacetime
(2012-04-26)The present work concerns itself with the conceptual problem of assigning thermal parameters to states in quantum field theory in curved spacetime, and is based on the concept of local thermal equilibrium in the sense of ... -
Local Extensions of Completely Rational Conformal Quantum Field Theories
(2011-07-29)In the present work we addressed several important problems regarding local extensions of chiral conformal quantum field theories. We showed that by methods from the algebraic approach the ... -
Structure of Coset models
(2003-07-15)We study inclusions of local, chiral, conformal quantum theories C which are contained in an ambient theory B and commute with another given subtheory A. These subtheories C are ...