[BOOK][B] From classical field theory to perturbative quantum field theory

M Dütsch - 2019 - Springer
On the one hand, perturbative quantum field theory (pQFT) is very successful: The results
obtained by computing the lowest orders of the perturbation series are in good agreement …

Renormalization of Higher Currents of the sine-Gordon Model in pAQFT

F Zanello - Annales Henri Poincaré, 2024 - Springer
In this paper, we show that the higher currents of the sine-Gordon model are super-
renormalizable by power counting in the framework of pAQFT. First we obtain closed …

Renormalization of quantum field theory on curved space-times, a causal approach

NV Dang - arxiv preprint arxiv:1312.5674, 2013 - arxiv.org
The subject of the thesis is the construction of a perturbative quantum theory of interacting
fields on a curved space-time, following a point of view pioneered by Stueckelberg and …

A microlocal investigation of stochastic partial differential equations for spinors with an application to the Thirring model

A Bonicelli, B Costeri, C Dappiaggi… - … Physics, Analysis and …, 2024 - Springer
On ad-dimensional Riemannian, spin manifold (M, g) we consider non-linear, stochastic
partial differential equations for spinor fields, driven by a Dirac operator and coupled to an …

The extension of distributions on manifolds, a microlocal approach

NV Dang - Annales Henri Poincaré, 2016 - Springer
Let M be a smooth manifold, I ⊂ MI⊂ M a closed embedded submanifold of M and U an
open subset of M. In this paper, we find conditions using a geometric notion of scaling for t ∈ …

Constructive aspects of string-localized quantum field theory

C Gaß - 2022 - ediss.uni-goettingen.de
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 …

[HTML][HTML] Stora's fine notion of divergent amplitudes

JC Várilly, JM Gracia-Bondía - Nuclear Physics B, 2016 - Elsevier
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Microlocal analysis of tempered distributions

RM Schulz - 2014 - ediss.uni-goettingen.de
Diese Dissertation ist dem Studium temperierter Distributionen mittels mikrolokaler
Methoden gewidmet. Die fundamentale Größe der mikrolokalen Analysis, die …

Microlocal methods in quantum field theory

A Hofmann - 2024 - ediss.uni-goettingen.de
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 …

Higher Currents for the sine-Gordon Model in perturbative Algebraic Quantum Field Theory

F Zanello - 2024 - ediss.uni-goettingen.de
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 …