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Documenter.jl
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| {"documenter":{"julia_version":"1.11.1","generation_timestamp":"2024-11-01T14:08:42","documenter_version":"1.7.0"}} |
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| article#documenter-page img { | ||
| background-color: white; | ||
| /* Center doc images by default */ | ||
| display: block; | ||
| margin-left: auto; | ||
| margin-right: auto; | ||
| } | ||
|
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| /* Approximately scale images to inline latex font size */ | ||
|
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| article#documenter-page img[src*="#green"] { | ||
| width: 90%; | ||
| } | ||
|
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| article#documenter-page img[src*="#green0"] { | ||
| width: 45%; | ||
| } | ||
|
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| article#documenter-page img[src*="#sigma"] { | ||
| width: 80%; | ||
| } | ||
|
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| article#documenter-page img[src*="#gamma3"] { | ||
| width: 68%; | ||
| } | ||
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| article#documenter-page img[src*="#gamma4"] { | ||
| width: 62%; | ||
| } | ||
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| article#documenter-page img[src*="#susceptibility"] { | ||
| width: 100%; | ||
| } | ||
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| article#documenter-page img[src*="#derivative_example"] { | ||
| width: 100%; | ||
| } |
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| % standalone document border convention: {left bottom right top} | ||
| \documentclass[varwidth=255pt,border={0pt, -2pt, 0pt, -10pt}]{standalone} | ||
| \usepackage[force]{feynmp-auto} | ||
| \usepackage{amsmath} | ||
| \usepackage{graphicx} | ||
|
|
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| \begin{document} | ||
| \begin{flalign*} | ||
| \Gamma^{(3)} &\hspace*{0.5ex}=\hspace*{0.5ex} | ||
| \scalebox{0.75}{$ | ||
| \begin{gathered} | ||
| \includegraphics{gamma3/gamma3_0.pdf} | ||
| \end{gathered} | ||
| $} | ||
| \hspace*{0.5ex}+\hspace*{0.5ex} | ||
| \scalebox{0.75}{$ | ||
| \begin{gathered} | ||
| \includegraphics{gamma3/gamma3_1a.pdf} | ||
| \end{gathered} | ||
| $} | ||
| \hspace*{0.5ex}+\hspace*{0.5ex} | ||
| \scalebox{0.75}{$ | ||
| \begin{gathered} | ||
| \includegraphics{gamma3/gamma3_1b.pdf} | ||
| \end{gathered} | ||
| $} | ||
| \\ | ||
| &\hspace*{3ex}+\hspace*{0.5ex} | ||
| \scalebox{0.75}{$ | ||
| \begin{gathered} | ||
| \includegraphics{gamma3/gamma3_2a.pdf} | ||
| \end{gathered} | ||
| $} | ||
| \hspace*{0.5ex}+\hspace*{0.5ex} | ||
| \scalebox{0.75}{$ | ||
| \begin{gathered} | ||
| \includegraphics{gamma3/gamma3_2b.pdf} | ||
| \end{gathered} | ||
| $} | ||
| \hspace*{0.5ex}+\hspace*{0.5ex} \cdots | ||
| \end{flalign*} | ||
| \end{document} |
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| % standalone document border convention: {left bottom right top} | ||
| \documentclass[varwidth,border={1pt 1pt -3pt 1pt}]{standalone} | ||
| \usepackage[force]{feynmp-auto} | ||
| \usepackage{amsmath} | ||
|
|
||
| \begin{document} | ||
| \begin{fmffile}{gamma3_0_diag} | ||
| \begin{fmfgraph*}(40,40) | ||
| \fmfright{b,c}\fmfleft{a} | ||
| \fmf{boson}{a,d} | ||
| \fmf{fermion}{b,d} | ||
| \fmf{fermion}{d,c} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-113, l.d=4.5, label=$4$}{d} | ||
| \end{fmfgraph*} | ||
| \end{fmffile} | ||
| \end{document} |
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| % standalone document border convention: {left bottom right top} | ||
| \documentclass[varwidth,border={1pt 1pt -7pt 1pt}]{standalone} | ||
| \usepackage[force]{feynmp-auto} | ||
| \usepackage{amsmath} | ||
|
|
||
| \begin{document} | ||
| \begin{fmffile}{gamma3_1a_diag} | ||
| \begin{fmfgraph*}(80,80) | ||
| \fmfleft{l}\fmfright{rb,rt} | ||
| \fmf{boson,tension=3.25}{l,a} | ||
| \fmf{fermion,tension=1.57}{rb,b} | ||
| \fmf{fermion,tension=1.57}{b,rt} | ||
| \fmf{fermion,left=0.6}{a,c,a} | ||
| \fmf{boson,tension=3}{c,b} | ||
| \fmffreeze | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-110, l.d=4.5, label=$4$}{a} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=0, l.d=4.5, label=$5$}{b} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-70, l.d=4.5, label=$6$}{c} | ||
| \end{fmfgraph*} | ||
| \end{fmffile} | ||
| \end{document} |
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| % standalone document border convention: {left bottom right top} | ||
| \documentclass[varwidth,border={1pt 1pt -7pt 1pt}]{standalone} | ||
| \usepackage[force]{feynmp-auto} | ||
| \usepackage{amsmath} | ||
|
|
||
| \begin{document} | ||
| \begin{fmffile}{gamma3_1b_diag} | ||
| \begin{fmfgraph*}(80,80) | ||
| \fmfleft{l}\fmfright{r1,r2} | ||
| \fmf{boson,tension=3}{l,vl} | ||
| \fmf{fermion,tension=3}{r1,vr1} | ||
| \fmf{fermion,tension=3}{vr2,r2} | ||
| \fmf{fermion}{vl,vr2} | ||
| \fmf{fermion}{vr1,vl} | ||
| \fmf{boson}{vr1,vr2} | ||
| \fmffreeze | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-100, l.d=4.5, label=$4$}{vl} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=20, l.d=4.5, label=$5$}{vr1} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-20, l.d=4.5, label=$6$}{vr2} | ||
| \end{fmfgraph*} | ||
| \end{fmffile} | ||
| \end{document} |
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| % standalone document border convention: {left bottom right top} | ||
| \documentclass[varwidth,border={1pt 1pt -11pt 1pt}]{standalone} | ||
| \usepackage[force]{feynmp-auto} | ||
| \usepackage{amsmath} | ||
|
|
||
| \begin{document} | ||
| \begin{fmffile}{gamma3_2b_diag} | ||
| \begin{fmfgraph*}(120,80) | ||
| \fmfleft{l}\fmfright{rb,rt} | ||
| \fmf{boson,tension=3.25}{l,a} | ||
| \fmf{fermion,tension=1.57}{rb,b} | ||
| \fmf{fermion,tension=1.57}{b,rt} | ||
| \fmf{fermion,left=0.6}{a,c,a} | ||
| \fmf{boson,tension=2.8}{c,d} | ||
| \fmf{fermion,left=0.6}{d,e,d} | ||
| \fmf{boson,tension=2.8}{e,b} | ||
| \fmffreeze | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-100, l.d=4.5, label=$4$}{a} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=0, l.d=4.5, label=$7$}{b} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-80, l.d=4.5, label=$6$}{c} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-80, l.d=4.5, label=$8$}{e} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-100, l.d=4.5, label=$5$}{d} | ||
| \end{fmfgraph*} | ||
| \end{fmffile} | ||
| \end{document} |
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| % standalone document border convention: {left bottom right top} | ||
| \documentclass[varwidth,border={1pt 1pt -11pt 1pt}]{standalone} | ||
| \usepackage[force]{feynmp-auto} | ||
| \usepackage{amsmath} | ||
|
|
||
| \begin{document} | ||
| \begin{fmffile}{gamma3_2a_diag} | ||
| \begin{fmfgraph*}(120,120) | ||
| \fmfleft{l}\fmfright{r1,r2} | ||
| \fmf{boson,tension=5}{l,a} | ||
| \fmf{fermion,tension=5}{r1,b} | ||
| \fmf{fermion,tension=5}{c,r2} | ||
| \fmf{fermion}{a,c} | ||
| \fmf{fermion}{b,a} | ||
| \fmf{phantom}{b,c} | ||
| \fmffreeze | ||
| \fmf{boson,tension=3}{b,d} | ||
| \fmf{fermion,left=0.6}{d,e,d} | ||
| \fmf{boson,tension=3}{e,c} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-100, l.d=4.5, label=$4$}{a} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=20, l.d=4.5, label=$7$}{b} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-20, l.d=4.5, label=$6$}{c} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=20, l.d=4.5, label=$5$}{e} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-20, l.d=4.5, label=$8$}{d} | ||
| \end{fmfgraph*} | ||
| \end{fmffile} | ||
| \end{document} |
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| % standalone document border convention: {left bottom right top} | ||
| \documentclass[varwidth,border={1pt 1pt -11pt 1pt}]{standalone} | ||
| \usepackage[force]{feynmp-auto} | ||
| \usepackage{amsmath} | ||
|
|
||
| \begin{document} | ||
| \begin{fmffile}{gamma3_2c_diag} | ||
| \begin{fmfgraph*}(120,120) | ||
| \fmfleft{l}\fmfright{r1,r2} | ||
| \fmf{boson,tension=5}{l,a} | ||
| \fmf{fermion,tension=5}{r1,b} | ||
| \fmf{fermion,tension=5}{c,r2} | ||
| \fmf{phantom}{a,c} | ||
| \fmf{phantom}{b,a} | ||
| \fmf{boson}{b,c} | ||
| \fmffreeze | ||
| \fmf{fermion}{a,d,c} | ||
| \fmf{fermion}{b,e,a} | ||
| \fmffreeze | ||
| \fmf{boson}{d,e} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-100, l.d=4.5, label=$1$}{a} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=20, l.d=4.5, label=$2$}{b} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-20, l.d=4.5, label=$3$}{c} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-113, l.d=4.5, label=$4$}{e} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=113, l.d=4.5, label=$5$}{d} | ||
| \end{fmfgraph*} | ||
| \end{fmffile} | ||
| \end{document} |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
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| % standalone document border convention: {left bottom right top} | ||
| \documentclass[varwidth,border={1pt 1pt -11pt 1pt}]{standalone} | ||
| \usepackage[force]{feynmp-auto} | ||
| \usepackage{amsmath} | ||
|
|
||
| \begin{document} | ||
| \begin{fmffile}{gamma3_2d_diag} | ||
| \begin{fmfgraph*}(120,120) | ||
| \fmfleft{l}\fmfright{r1,r2} | ||
| \fmf{boson,tension=5}{l,a} | ||
| \fmf{fermion,tension=5}{r1,b} | ||
| \fmf{fermion,tension=5}{c,r2} | ||
| \fmf{phantom}{a,c} | ||
| \fmf{phantom}{b,a} | ||
| \fmf{phantom}{b,c} | ||
| \fmffreeze | ||
| \fmf{fermion}{a,d,c} | ||
| \fmf{fermion}{b,e,a} | ||
| \fmffreeze | ||
| \fmf{boson}{b,d} | ||
| \fmf{boson}{c,e} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-100, l.d=4.5, label=$1$}{a} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=20, l.d=4.5, label=$2$}{b} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-20, l.d=4.5, label=$3$}{c} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=-113, l.d=4.5, label=$5$}{e} | ||
| \fmfv{d.sh=circle, d.fi=full, d.si=2thick, l.a=113, l.d=4.5, label=$4$}{d} | ||
| \end{fmfgraph*} | ||
| \end{fmffile} | ||
| \end{document} |
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