confinement-of-quarks-latex

name	Confinement_of_quarks_latex
description	将 Wilson《Confinement of quarks》（PRD 10, 2445 (1974)）转写为 LaTeX 的完整 skill — 从 pdftotext 提取逐节重建可编译 LaTeX（6 节 + 致谢 + 参考文献），保留原文编号、公式与 10 张插图

Conversion guide for section agents

You are converting one section of Confinement of quarks by Kenneth G. Wilson (Phys. Rev. D 10, 2445 (1974)) from the raw pdftotext dump into clean, compilable LaTeX. This is the foundational lattice gauge theory paper.

Input / output

• Input: extract/pageNN.txt (raw per-page pdftotext, two-column PRD scan). Read the pages of your section fully.
• Output: write chapters/section0N.tex (one file per section — do not touch any other section file).
• main.tex does \input{preamble} and includes each section; \graphicspath{{images/}} is set, so images resolve as \includegraphics[width=...]{figN.png}.

What the raw text looks like

pdftotext on a 1974 scan is very noisy. Clean it up:

• Page numbers and running heads (KENNETH G. WILSON, CONFINEMENT OF QUARKS, the volume/page 10 / 2448) must be deleted. The section titles are real structure — keep them.
• The paper is two-column; the raw text interleaves columns. Reassemble the prose in reading order.
• Pages 1 and 15 contain the tails of the adjacent papers (an "effective action" paper before, and Cheng/Ng/Young after) — do NOT transcribe those.
• Math glyphs are mangled: the gauge-field variable is written variously as A, B, 8, θ — it is θ_{μν}. ψ̄/φ̄ appear as garbled g, y, 4, 0. Reconstruct every equation from context using your physics knowledge (lattice QCD). Equation numbers (3.1), (4.6), etc. are preserved — keep them oriented but DO NOT typeset the numbers (LaTeX auto-numbers).

Document structure

• Section files start with \section{<EXACT UPPERCASE SECTION TITLE>}. Section III has two \subsections (A. Classical action on a lattice; B. Quantization).
• Keep prose faithful to the original English, correcting only extraction artifacts. Keep paragraph breaks.

Equations

• Use equation, and split/align where the original is multi-line.
• Preserve the order so auto-numbers match the paper's (2.1), (3.1), … (\theequation is \arabic{section}.\arabic{equation} in the preamble).
• In-text refs like Eq. (3.13) stay as literal text.
• Use the preamble macros: \thl{\mu\nu} for θ_{μν}, \ev{...} for ⟨...⟩, \Tr, \order{...}, \dd, \ddth{\mu\nu} for dθ_{μν}.
• The action parameters are ε = m₀a⁴, κ = a²/2 (Eq. 3.12).

Figures

The 10 figures are in images/figN.png (global numbering). Where the paper shows a figure (its caption FIG. N. appears in the raw text), insert:

\begin{figure}[t]
  \centering
  \includegraphics[width=0.5\textwidth]{figN}
  \refstepcounter{figure}%
  \caption*{Fig. N. <caption text, cleaned up>.}
  \label{fig:N}
\end{figure}

• \refstepcounter{figure} makes in-text Fig.~\ref{fig:N} resolve; the starred \caption*{Fig. N. ...} keeps the paper's exact numbering.
• Pick width from the paper's column proportions (the drawings are small: typically 0.3–0.55\textwidth).

Backmatter

backmatter.tex holds the Acknowledgments and the reference list (Refs. 1–20, kept as printed). Only edit it if you are fixing the references.

Quality bar

• The .tex must compile with XeLaTeX.
• Match the paper's structure and content as closely as possible.
• Math must be physically correct lattice gauge theory.
• If a passage is too mangled to recover, reproduce the closest reasonable LaTeX and add a short % [unrecovered: ...] comment.

Also produce

figures_map.md (fig → image + caption), chapter_sections.txt (structure + equation list), CONVERSION_GUIDE.md (transcription rules), CLAUDE.md.

Chinese translation: ../夸克禁闭_latex/ (translated from this English LaTeX).