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Classical Yang-Mills theory and simulations of a toy model in (1+1) dimensions
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
2015 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

The model that describes modern particle physics is known as the standard model, which itself is built upon Yang-Mills theory. Yang-Mills theory is also used in other contexts intheoretical physics. In this report classical Yang-Mills theory and its relation to classical electrodynamics is studied.

Yang-Mills theory is introduced as a generalization of electrodynamics and for a special case a physical interpretation of the theory is presented. By numerical simulations, the dynamics of the theory are studied and compared to those of electrodynamics.

The results obtained indicate that Yang-Mills theory can give rise to much more complicated dynamics than classical electrodynamics. However, the special case of Yang-Mills theory considered in this report can be viewed as electrodynamics with extra degrees of freedom.

Abstract [sv]

Modellen som beskriver modern partikelfysik är känd som standardmodellen och bygger på Yang-Mills teori, vilken även används i andra sammanhang inom teoretisk fysik. I denna rapport undersöks klassisk Yang-Mills teori och dess koppling till klassisk elektrodynamik. 

Teorin introduceras som en generalisering av elektrodynamik samt reduceras till ett specialfall som tolkas fysikaliskt. Genom numeriska simuleringar undersöks dynamiken i Yang-Mills teori och jämförs med elektrodynamiken.

De erhållna resultaten pekar på att Yang-Mills teori kan ge upphov till mycket mer komplex dynamik än klassisk elektrodynamik. Vidare ges det betraktade specialfallet av teorin en tolkning som elektrodynamik med extra frihetsgrader.

Place, publisher, year, edition, pages
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-168035OAI: diva2:814086
Available from: 2015-05-26 Created: 2015-05-26 Last updated: 2015-05-26Bibliographically approved

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