commit d24466ffb9e7cd5a232f451ab62d271d5bb586af
parent 9e68bdd850568e3248f42d65e55a09fa603a6bd2
Author: miksa234 <milutin@popovic.xyz>
Date: Wed, 11 Aug 2021 19:43:34 +0200
done
Diffstat:
6 files changed, 25 insertions(+), 23 deletions(-)
diff --git a/pdfs/main.pdf b/pdfs/main.pdf
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diff --git a/src/thesis/back/abstract.tex b/src/thesis/back/abstract.tex
@@ -1,15 +1,16 @@
\vspace*{\fill}
\begin{abstract}
Noncommutative geometry is a branch of mathematics that has deep
- connections to applications in physics. From reconstructing the
- theory of electrodynamics with minimal coupling to gravity, to deriving
- the full Lagrangian of the standard model and predicting the Higgs mass.
- One of the reasons for this is the natural existence of a nontrivial
- gauge group of a mathematical structure called the spectral triple, which
- encodes (classical) geometrical data intro algebraic data. Altogether
- this thesis is based on literature work, mostly from Walter D. Suijlekom's
- book \cite{ncgwalter}. We summarize enough information to both establish
- the basic backbone of noncommutative geometry and to further out derive
- the Lagrangian of electrodynamics.
+ connections to applications in physics. From reconstructing the theory of
+ electrodynamics with minimal coupling to gravity, to deriving the full
+ Lagrangian of the standard model and predicting the Higgs mass. One of
+ the reasons for this is the natural existence of a nontrivial gauge group
+ of a mathematical structure called the spectral triple, which encodes
+ (classical) geometrical data intro algebraic data. Altogether this thesis
+ is based on literature work, mostly from Walter D. Suijlekom's book
+ `\textit{Noncommutative Geometry and Particle Physics}' \cite{ncgwalter}.
+ We summarize enough information to both establish the basic backbone of
+ noncommutative geometry and to further out derive the Lagrangian of
+ electrodynamics.
\end{abstract}
\vspace*{\fill}
diff --git a/src/thesis/back/title.tex b/src/thesis/back/title.tex
@@ -15,7 +15,7 @@
\vspace*{0.3cm}
-\fontsize{18}{0} \selectfont \textbf{Noncommutative Geomtetry and
+\fontsize{18}{0} \selectfont \textbf{Noncommutative Geometry and
Electrodynamics}\\
\vspace*{1.5cm}
@@ -27,7 +27,7 @@ Electrodynamics}\\
\vspace*{2cm}
- {\fontsize{12}{0} \selectfont in partial fulfilment of the requirements for the degree of}\\
+ {\fontsize{12}{0} \selectfont in partial fulfillment of the requirements for the degree of}\\
\vspace*{0.3cm}
{ \fontsize{14}{0} \selectfont Bachelor of Science (BSc)}\\
diff --git a/src/thesis/chapters/conclusion.tex b/src/thesis/chapters/conclusion.tex
@@ -8,11 +8,11 @@ calculations of the heat kernel coefficients to describe the Lagrangian in
terms of geometrical invariants we finally arrive at the Lagrangians in
equations \eqref{eq:final1} and \eqref{eq:final2}.
-With a similar but more complex ansatz, Walter D. Suijlekom describes in his book
-\cite{ncgwalter} how to figure out a specific version of a spectral triple
-corresponding the almost commutative manifold which delivers the physics of
-the full Standard Model and with this information accurately calculating the
-mass of the Higgs boson. Moreover he describes more accurately the
-correspondence of the gauge theory of an almost commutative manifold, a
-spectral triple, which brings noncommutative geometry to the interest of
-physicists in the first place.
+With a similar but more complex ansatz, Walter D. Suijlekom describes in his
+book `\textit{Noncommutative Geometry and Particle Physics}' \cite{ncgwalter}
+how to figure out a specific version of a spectral triple corresponding the
+almost commutative manifold which delivers the physics of the full Standard
+Model and with this information accurately calculating the mass of the Higgs
+boson. Moreover he describes more accurately the correspondence of the gauge
+theory of an almost commutative manifold, a spectral triple, which brings
+noncommutative geometry to the interest of physicists in the first place.
diff --git a/src/thesis/chapters/intro.tex b/src/thesis/chapters/intro.tex
@@ -16,9 +16,10 @@ invariants, a method called the heat kernel expansion is used.
The aim of this thesis is to give a basic foundation of noncommutative
geometry and to present a physical application which can be derived from this
theory. Additionally we emphasize that this thesis is only literature work,
-where chapters \ref{sec:1}, \ref{sec:2}, \ref{sec:3}, \ref{sec:5} and \ref{sec:6} are from
-the work of Walter D. Suijlekom's book \cite{ncgwalter} and chapter
-\ref{sec:4} from D.V. Vassilevich's paper \cite{heatkernel}.
+where chapters \ref{sec:1}, \ref{sec:2}, \ref{sec:3}, \ref{sec:5} and
+\ref{sec:6} are from the work of Walter D. Suijlekom's book
+`\textit{Noncommutative Geometry and Particle Physics}' \cite{ncgwalter} and
+chapter \ref{sec:4} from D.V. Vassilevich's paper \cite{heatkernel}.
The prominent structure of noncommutative geometry is the spectral triple.
The most basic form of a spectral triple consists of a unital $C^*$ algebra
diff --git a/src/thesis/main.pdf b/src/thesis/main.pdf
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