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New homework and inclass. Update script
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not-physicist committed Jul 4, 2019
1 parent 695ac7a commit 9e78f35
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1 change: 1 addition & 0 deletions script/chapter1.tex
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\chapter{Classical field theory}
\setcounter{chapter}{1}
\section{Field theory in continuum}
\paragraph{Euler-Lagrange-equation}
\begin{align}
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1 change: 1 addition & 0 deletions script/chapter2.tex
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\chapter{Klein-Gordon theory}
\setcounter{chapter}{2}
\paragraph{(Real) Lagrangian density}
\begin{align}
\lag = \frac{1}{2} \partial_\mu \phi \partial^\mu \phi - \frac{m^2}{2} \phi^2
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1 change: 1 addition & 0 deletions script/chapter3.tex
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\chapter{Quantization of the Dirac field}
\setcounter{chapter}{3}
\section{Dirac equation}
\begin{align}
\left(i \gamma^\mu \partial_\mu - m \right) \phi(x) = 0
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3 changes: 2 additions & 1 deletion script/chapter4.tex
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\chapter{Interacting QFT}
\setcounter{chapter}{4}
\section{Introduction and examples}
Theories discussed so far are Klein-Gordon theory with spin $0$
$$\lag_{KG} = \frac{1}{2}\partial_\mu\phi\partial^\mu\phi - \frac{m^2}{2}\phi^2$$
Expand Down Expand Up @@ -1282,7 +1283,7 @@ \section{Scattering cross section}\label{sec:croSec}

Covariant form of
\begin{align}
m_B \cdot |\pmb{p}_A| = m_B \sqrt{(p_A^0)^2 - m_A^2} = \sqrt{(p_A \cdot p_B)^2 - m_A^2 m_B^2} \eqdef F
m_B \cdot |\pmb{p}_A| = m_B \sqrt{(p_A^0)^2 - m_A^2} = \sqrt{(p_A \cdot p_B)^2 - m_A^2 m_B^2} \eqdef F \label{math:F}
\end{align}

This is scattering into arbitary final state subject to 4-momentum conservation: $p_A + p_B = p_1 + p_2$.
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1 change: 1 addition & 0 deletions script/chapter5.tex
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\chapter{Quantum Electrodynamics (QED)}
\setcounter{chapter}{5}
\section{Classical Electrodynamics and Maxwell's equations}
We have the gauge potential $A^\mu = (A^0, \pmb{A}) = (\phi, \pmb{A})$ \& $A_\mu = (A^0, -\pmb{A}) = (\phi, -\pmb{A})$ and the field strength tensor $F_{\mu\nu} = \partial_\mu A_\nu - \partial_\nu A_\mu$.

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626 changes: 626 additions & 0 deletions script/chapter6.tex

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2 changes: 2 additions & 0 deletions script/claux.sh
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#!/usr/bin/bash
rm *.aux *.log *.out *.xml *.bcf *.toc
15 changes: 15 additions & 0 deletions script/comp.sh
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#!/usr/bin/bash
# Bash script to compile individual chapter script.tex

if [ -z ${1+x} ]; then
echo "Input chapter is unset. Compiling the whole file...";
for i in chapter*.tex; do
j=${i%.tex};
lualatex -jobname=the$j "\includeonly{$j}\input{script.tex}";
done
else
echo "Input chapter is set to '$1'.";
i="chapter$1"
echo $i
lualatex -jobname=the$i "\includeonly{$i}\input{script.tex}";
fi
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6 changes: 4 additions & 2 deletions script/script.tex
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\newcommand{\vecy}{\pmb{y}}
\newcommand{\veck}{\pmb{k}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\M}{\mathcal{M}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%% SETTINGS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\numberwithin{equation}{section}
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\tableofcontents
%TODO: right now chapter 1-3 only contain summaries

%\iffalse
\include{chapter1}
\include{chapter2}
\include{chapter3}
\include{chapter4}
%\fi
\include{chapter5}
\include{chapter6}

\end{document}
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