An Iterative Approach to Solving the Munzceck-Nemirovsky Quark Matter Model

• Main Author: Brouard, Miles Cameron
• Format: Dissertation
• Language: English
• Published: ProQuest Dissertations & Theses 01.01.2021
• Subjects: Astronomy; Quantum physics
• ISBN: 9798845438478

The Dyson-Schwinger equation for a particle propagator defines an infinite series interms of itself. It equates the dressed propagator to a function of the dressed propagator.Similarly, the fixed points of an iterated map are defined by equating a variable witha function of that variable. Where the function maps an argument onto itself, there is afixed point. These two seemingly different concepts are mathematically identical in someways. In the context of particles, by studying the propagator equation as a condition forthe fixed points of an iterated map, one sees a range of behavior that can be interpretedas descriptive of natural phenomena. In this thesis, the propagator equation is simplifiedusing the Munczeck-Nemirovsky model. This model cuts out some important details of thereal-life propagator in exchange for calculability using known methods, but still retainsenough to show correlation with observed phenomena. For example, something like confinement can be seen to emerge. Reflecting that the Dyson-Schwinger equation is reallyjust an iterative way to describe the propagator (and order the infinite series of Feynmanndiagrams involved) it's perhaps unsurprising that it should be this way.