-
Notifications
You must be signed in to change notification settings - Fork 36
/
Copy pathQFT.tex
164 lines (99 loc) · 2.81 KB
/
QFT.tex
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
\documentclass[10pt]{article}
% Preamble
\usepackage{amsmath,amsfonts,amssymb}
\usepackage[mathscr]{euscript}
%\usepackage[mathcal]{euscript}
\usepackage{mathrsfs}
\usepackage{graphicx}
\usepackage{float}
\usepackage{bbm}
\usepackage{braket}
\usepackage{tikz-feynman}
\usepackage{simpler-wick}
\usepackage{cancel}
\usepackage{stackengine}
\usepackage{slashed}
\usepackage[colorlinks]{hyperref}
\hypersetup{linktocpage=true}
\newcommand{\bigzero}{\mbox{\normalfont\Large\bfseries 0}}
\title{Notes on Relativistic Quantum Field Theory: \\ A course given by Dr. Tobias Osborne}
\author{Transcribed by Alexander Victor St. John, Ph.D.}
% The Document
\begin{document}
\maketitle
\clearpage
{\hypersetup{linkcolor=blue}\tableofcontents} % Table of contents with clickable links.
\newpage
\section{Lecture 1: Motivations for (Relativistic) Quantum Field Theory}
\label{sec: lec1}
\input{chapters/lec01.tex}
\clearpage
\section{Lecture 2: Introduction to Classical Field Theory}
\label{sec: lec2}
\input{chapters/lec02.tex}
\clearpage
\section{Lecture 3: Symmetries in Classical Field Theory}
\label{sec: lec3}
\input{chapters/lec03.tex}
\clearpage
\section{Lecture 4: Field Quantization}
\label{sec:lec4}
\input{chapters/lec04.tex}
\clearpage
\section{Lecture 5: Scalar Quantum Field Theory}
\label{sec:lec5}
\input{chapters/lec05.tex}
\clearpage
\section{Lecture 6: Causality in Scalar QFT}
\label{sec:lec6}
\input{chapters/lec06.tex}
\clearpage
\section{Lecture 7: Representing Symmetries in QFT}
\label{sec:lec7}
\input{chapters/lec07.tex}
\clearpage
\section{Lecture 8: Interactions in QFT}
\label{sec:lec8}
\input{chapters/lec08.tex}
\clearpage
\section{Lecture 9: Interactions and Feynman Diagrams}
\label{sec:lec9}
\input{chapters/lec09.tex}
\clearpage
\section{Lecture 10: Feynman Rules for $\varphi^4$ Theory}
\label{sec:lec10}
\input{chapters/lec10.tex}
\clearpage
\section{Lecture 11: Feynman Rules and Vacuum Bubbles}
\label{sec:lec11}
\input{chapters/lec11.tex}
\clearpage
\section{Lecture 12: The $\mathcal{S}$-matrix in $\varphi^4$ Theory}
\label{sec:lec12}
\input{chapters/lec12.tex}
\clearpage
\section{Lecture 13: Feynman Diagram Expansions in $\varphi^4$ Theory}
\label{sec:lec13}
\input{chapters/lec13.tex}
\clearpage
\section{Lecture 14: The Dirac Field}
\label{sec:lec14}
\input{chapters/lec14.tex}
\clearpage
\section{Lecture 15: The Dirac Equation and its Solutions}
\label{sec:lec15}
\input{chapters/lec15.tex}
\clearpage
\section{Lecture 16: The Quantum Dirac Field}
\label{sec:lec16}
\input{chapters/lec16.tex}
\clearpage
\section{Lecture 17: The Quantum Dirac Field, Continued}
\label{sec:lec17}
\input{chapters/lec17.tex}
\clearpage
\section{Lecture 18: Quantum Field Theory for Interacting Fermions and Bosons}
\label{sec:lec18}
\input{chapters/lec18.tex}
\clearpage
\end{document}