2022/10/23 night

.gitignore

@@ -7,3 +7,7 @@ Conformal-Field-Theory.toc
 Conformal-Field-Theory.fdb_latexmk
 Conformal-Field-Theory.fls
 Conformal-Field-Theory.out
+fig/Quantum Field Theory/transformation_illustration/fig.aux
+fig/Quantum Field Theory/transformation_illustration/fig.fdb_latexmk
+fig/Quantum Field Theory/transformation_illustration/fig.log
+fig/Quantum Field Theory/transformation_illustration/fig.fls

README.md

@@ -1 +1,13 @@
 # Conformal Field Theory
+>This note is still under construction.
+
+This is my conformal field theory note based on the book [*Conformal Field Theory*](https://doi.org/10.1007/978-1-4612-2256-9) by Philippe Francesco, Pierre Mathieu and David Sénéchal.
+## Outline
+1. Review 
+    - Quantum Field Theory
+    - Statistic Mechanics
+2. Fundamentals
+    - Global Conformal Invariance 
+    - Conformal Invariance in Two Dimensions 
+    - The Operator Formalism 
+3. 

fig/Quantum Field Theory/transformation_illustration/fig.tex

@@ -0,0 +1,21 @@
+\documentclass{standalone}
+\usepackage{tikz}
+
+\usetikzlibrary{hobby,arrows.meta}
+
+\begin{document}
+    \begin{tikzpicture}
+        \draw[very thick] (-3,-3) rectangle (3,3);
+        \node [below] at (0,-3) {$x_0$};
+        \node [left] at (-3,0) {$x_1$};
+        \node [below] at (1,-1.5) {$x$};
+        \node [left] at (-1,1.2) {$x'$};
+        \node [below] at (1,-0.5) {$\Phi$};
+        \node [below] at (-1,0.8) {$\Phi'$};
+        \filldraw[blue] (1,-1.5) circle (.03);
+        \filldraw[blue] (-1,1.2) circle (.03);
+        \draw [-{Stealth[length=3mm, width=1.5mm]}] (1,-1.5)[bend right=20] to (-1,1.2);
+        \filldraw[fill=blue!20,fill opacity=0.4] (1.5,-2) to [closed,curve through={(0.1,-0.5) (0,-1.5)}] (0.2,-2);
+        \filldraw[fill=red!20,fill opacity=0.4] (-1.5,2) to [closed,curve through={(0,0.5) (0,1.5)}] (-0.7,2);
+    \end{tikzpicture}
+\end{document}

zsj.sty

@@ -51,6 +51,7 @@
 ,pdfa=true
 ,pdfusetitle
 ,pdfcreator={Shangjie Zhou}
+,hypertexnames=false
 ]{hyperref}
 
 % ----------------------------------------------------------------------
@@ -647,7 +648,7 @@
                                    {-1em}%
                                    {\normalfont\normalsize\bfseries}}
 
-\RequirePackage{titlesec}
+\RequirePackage[nobottomtitles]{titlesec}
 
 \titleformat{name=\section}[display]
 {\normalfont}
@@ -725,8 +726,8 @@
 %my own settings
 \usepackage{orcidlink}
 \usepackage{tensor}
-\usepackage{cleveref}
 \usepackage{thmtools}
+\usepackage{cleveref}
 
 
 
@@ -749,5 +750,4 @@
 %\newcommand{\rr}{\mathbb{R}}
 %\newcommand{\ii}{\mathrm{i}}
 %\newcommand{\md}{\mathrm{d}}
-%\DeclareMathOperator{\im}{im}
-
+%\DeclareMathOperator{\im}{im}