quantum-chromodynamics-on-the-lattice-latex

name	Quantum_Chromodynamics_on_the_Lattice_latex
description	将 Gattringer & Lang《Quantum Chromodynamics on the Lattice》转写为 LaTeX 的完整 skill — 从 pdftotext 提取逐章重建可编译 LaTeX（12 章 + 附录），保留原书编号、公式与 34 张插图

Conversion guide for chapter agents

You are converting one chapter of Quantum Chromodynamics on the Lattice by Gattringer & Lang (LNP 788, Springer 2010) from the raw pdftotext dump into clean, compilable LaTeX.

Input / output

• Input: extract/chNN.txt (raw pdftotext output for your chapter). Read it fully.
• Output: write chapters/chapterNN.tex (one file per agent — do not touch any other chapter file).
• The master file main.tex already does \input{preamble} and includes each chapter. \graphicspath{{images/}} is set, so images resolve as \includegraphics[width=...]{figXY.png}.

What the raw text looks like

pdftotext output is noisy. You must clean it up:

• Page numbers (a bare number at top or bottom) and running heads (e.g. 1 The path integral on the lattice repeated at the top of every page) must be deleted. The chapter's own title and section headings are real structure — keep them.
• The publisher footer on the first page of each chapter (Gattringer, C., Lang, C.B.: ... DOI 10.1007/978-3-642-01850-3 ...) must be deleted.
• Math glyphs are mangled by the extraction. The character  is usually \rangle,  is \langle, / are also angle brackets from another font, fi is the fi ligature, − is minus. Superscripts/subscripts appear on separate lines. Reconstruct every equation from context using your physics knowledge (lattice QCD / quantum field theory). This is the most important part of the job. The equation numbers (1.3), (4.77), etc. are preserved in the text — use them to stay oriented, but DO NOT typeset the numbers yourself (LaTeX auto-numbers).

Document structure

• Start each chapter file with \chapter{<Exact chapter title>}.
• Use \section{...}, \subsection{...}, \subsubsection{...} exactly as the book does (the section titles are visible in the raw text, e.g. 1.1 Hilbert space and propagation in Euclidean time).
• Keep the prose text faithful to the original, in English, correcting only extraction artifacts. Keep paragraph breaks.

Equations

• Use \begin{equation} ... \end{equation} for displayed equations.
• Preserve the order of equations so the auto-numbers match the book's numbering.
• Use align, gather, split, cases where the original needs them.
• In-text references like (3.61) can be left as literal (3.61) text.
• Use the macros defined in preamble.tex:
  • \ket{n} → |n\rangle, \bra{u} → \langle u|, \braket{u}{v}, \bbraket{u}{A}{v}, \vac for |0\rangle
  • \tr, \Tr, \ev{...}, \order{...}, \half
  • \im for the imaginary unit, \dd for an upright d
  • \Nc, \Nf for N_c, N_f
• Do not invent new notation where a standard one exists.

Figures

The figures of your chapter (from figures_map.md) were extracted to images/. At the position where the book shows a figure (the raw text contains its caption line starting Fig. X.Y.), insert:

\begin{figure}[htbp]
  \centering
  \includegraphics[width=0.8\textwidth]{figXY.png}
  \caption*{Fig. X.Y. \emph{<caption text as in the book, cleaned up>}.}
  \label{fig:XY}
\end{figure}

• Use the exact image filename from figures_map.md.
• Pick width (typically 0.6\textwidth–0.9\textwidth) so the figure is not distorted or tiny. Data plots that span the full page width → 0.9\textwidth.
• Use \caption* (starred) so LaTeX does not re-number it; keep the original Fig. X.Y. text inside. This preserves the book's numbering exactly.
• If your chapter has no figures, skip this.

Footnotes

The book uses numbered footnotes. If a footnote is identifiable in the raw text (its body text appears at the bottom of a page), convert it with \footnote{...} at the appropriate place in the prose. If the footnote anchor is ambiguous, place it where it most plausibly belongs.

References section (end of chapter)

Each chapter ends with a References section. Reproduce it as:

\section*{References}
\begin{enumerate}[label={[\arabic*]}]
  \item ... first reference ...
  \item ... second reference ...
\end{enumerate}

Keep the references as printed (authors, title, journal, volume, pages, year). In-text citation markers like [1–4] can stay as literal text.

Quality bar

• The .tex file must compile. Avoid stray characters from the extraction.
• Match the book's structure and content as closely as possible.
• Math must be physically correct (this is lattice QCD — reconstruct the standard expressions).
• If a passage is genuinely too mangled to recover, reproduce the closest reasonable LaTeX you can and add a short % [unrecovered: ...] comment.
• Do NOT include the preface/TOC/index in a chapter file.