User: Guest  Login
More Searchfields
Simple search
Original title:
Non-local methods in Haag-Ruelle scattering theory
Translated title:
Nichtlokale Methoden in der Haag-Ruelle Streutheorie
Author:
Duell, Maximilian
Year:
2019
Document type:
Dissertation
Faculty/School:
Fakultät für Mathematik
Advisor:
Dybalski, Wojciech (Dr.)
Referee:
Dybalski, Wojciech (Dr.); Verch, Rainer (Prof. Dr.); Longo, Roberto (Prof. Dr.)
Language:
en
Subject group:
MAT Mathematik; PHY Physik
Keywords:
Scattering Theory, Quantum Field Theory, QFT, relativistic, special relativity, mathematical physics, operator algebras, causality, locality, multi-particle scattering states, asymptotic states, Haag-Ruelle theory, wave operators, Møller operators, axiomatic QFT, interacting QFT, Fock space, Fock structure, Haag-Kastler, wedge locality, Reeh-Schlieder property, Wigner particles, mass gaps, energy-momentum spectrum, wedge duality, swapping symmetry, Bisognano-Wichmann property, Grosse-Lechner mod...     »
TUM classification:
PHY 011d; MAT 022d
Abstract:
The main aim of the present thesis is the rigorous scattering-theoretic analysis of quantum field theory models, which are beyond the scope of the classical Haag-Ruelle theory. First N-particle scattering theory is established in the general wedge-local setting, within which numerous interacting models have been constructed in the more recent literature. In the second part we develop a novel method for the construction of scattering states in presence of massless particles, which is based on spe...     »
Translated abstract:
Ziel dieser Arbeit ist die streutheoretische Untersuchung von Modellen der Quantenfeldtheorie, welche bei mathematisch strenger Herangehensweise jenseits der Anwendbarkeit der klassischen Haag-Ruelle Theorie liegen. Zuerst wird eine N-Teilchen Streutheorie im axiomatischen Rahmen Keil-lokaler Theorien ausgearbeitet, die zur weiteren Erforschung zahlreicher in der moderneren Literatur konstruierter wechselwirkender Modelle herangezogen werden kann. Im zweiten Teil wird eine neuartige Methode zur...     »
WWW:
https://mediatum.ub.tum.de/?id=1459296
Date of submission:
30.10.2018
Oral examination:
27.02.2019
File size:
2268192 bytes
Pages:
153
Urn (citeable URL):
https://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:91-diss-20190227-1459296-1-3
Last change:
16.05.2019
 BibTeX