Index: docs/cs_hgg_ideas/Makefile
===================================================================
--- docs/cs_hgg_ideas/Makefile	(revision 8536)
+++ docs/cs_hgg_ideas/Makefile	(revision 8537)
@@ -1,18 +0,0 @@
-TEX = pdflatex
-MPOST = mpost
-
-GARBAGE = fmf* hgg.log hgg.aux
-
-all: hgg.pdf
-
-hgg.pdf: hgg.tex
-	$(TEX) $<
-	grep -i metapost hgg.log && $(MPOST) fmf.mp
-	$(TEX) $<
-
-clean:
-	-rm $(GARBAGE)
-realclean:
-	-rm hgg.pdf
-
-.PHONY: all clean realclean
Index: docs/cs_hgg_ideas/hgg.pdf
===================================================================
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Index: docs/cs_hgg_ideas/hgg.tex
===================================================================
--- docs/cs_hgg_ideas/hgg.tex	(revision 8536)
+++ docs/cs_hgg_ideas/hgg.tex	(revision 8537)
@@ -1,208 +0,0 @@
-\documentclass[a4paper,11pt]{article}
-\usepackage{graphicx}
-\usepackage{feynmp}
-\usepackage{amsmath}
-\usepackage{palatino}
-
-\DeclareGraphicsRule{*}{mps}{*}{}
-\setlength{\unitlength}{1mm}
-
-\begin{fmffile}{fmf}
-\begin{document}
-
-\section{Algorithm}
-
-Going to the color flow basis, the vertex
-%
-\begin{equation}
-\parbox{24mm}{\fmfframe(2,5)(2,5){\begin{fmfgraph*}(20,20)
-\fmfleft{i2,i1}\fmfright{o}\fmf{gluon}{i1,v}\fmf{gluon}{v,i2}
-\fmf{plain}{o,v}
-\fmfv{la=$a$}{i1}\fmfv{la=$b$}{i2}
-\end{fmfgraph*}}}
-\quad=\quad g\delta_{ab}
-\label{equ-ggh}
-\end{equation}
-%
-(where $a,b$ are the color indices and all Lorentz structure is understood to be absorbed in the
-coupling $g$) is replaced by two color flow vertices
-%
-\begin{equation}
-\parbox{24mm}{\fmfframe(2,5)(2,5){\begin{fmfgraph*}(20,20)
-\fmfleft{i2,i1}\fmfright{o}\fmf{phantom}{i1,v,i2}\fmf{plain}{o,v}\fmffreeze
-\fmf{fermion}{i1,v,i2}
-\fmfi{fermion}{vloc (__i2) - thick*(3,0) -- vloc (__v) - thick*(3,0)}
-\fmfi{fermion}{vloc(__v) - thick*(3,0) -- vloc (__i1) - thick*(3,0)}
-\fmfv{la=$g_{i/j}$}{i1}\fmfv{la=$g_{j/i}$}{i2}
-\end{fmfgraph*}}}
-\quad=\quad g
-\label{equ-flow-rule}
-\end{equation}
-%
-and
-\begin{equation}
-\parbox{24mm}{\fmfframe(2,5)(2,5){\begin{fmfgraph*}(20,20)
-\fmfleft{i2,i1}\fmfright{o}\fmf{dashes}{i2,v,i1}\fmf{plain}{o,v}
-\fmfv{la=$g_0$}{i1,i2}
-\end{fmfgraph*}}}
-\quad=\quad -gN_c
-\label{equ-ghost-rule}
-\end{equation}
-%
-(note that the minus sign in \eqref{equ-ghost-rule} is \emph{no} typo but required for the algorithm
-to work). The correct color structure is then reproduced by the color flow rules as
-implemented in O'Mega / WHIZARD if closed color ribbons are not counted as $N_c^2$, but instead as
-%
-\begin{equation}
-\parbox{20mm}{\fmfframe(0,3)(0,3){\begin{fmfgraph}(20,20)
-\fmfi{fermion}{halfcircle scaled (.9w) shifted (.45w,.45w)}
-\fmfi{fermion}{halfcircle scaled (.9w) rotated 180 shifted (.45w,.45w)}
-\fmfi{fermion}{reverse halfcircle scaled (.7w) shifted (.45w,.45w)}
-\fmfi{fermion}{reverse halfcircle scaled (.7w) rotated 180 shifted (.45w,.45w)}
-\end{fmfgraph}}}
-\quad=\quad N_c^2 - 2
-\label{equ-prescr}
-\end{equation}
-%
-in the squared color flow amplitude.
-
-\section{Proof}
-
-The new contributions to squared amplitudes which may arise after adding the vertex \eqref{equ-ggh}
-to the theory are either closed gluon lines with $n$ insertions of \eqref{equ-ggh}
-%
-\begin{equation}
-\parbox{40mm}{\fmfframe(0,3)(0,3){\begin{fmfgraph}(40,30)
-\fmfsurroundn{e}{8}
-\begin{fmffor}{n}{1}{1}{8}
-\fmf{plain}{e[n],i[n]}
-\end{fmffor}
-\fmfcyclen{gluon}{i}{8}
-\end{fmfgraph}}}
-\label{equ-closed-ribbon}
-\end{equation}
-%
-or gluon lines connecting two vertices of the original theory with $n$ insertions of
-\eqref{equ-ggh} in between
-%
-\begin{equation}
-\parbox{40mm}{\fmfframe(0,3)(0,3){\begin{fmfgraph}(40,15)
-\fmfleft{i}\fmfright{o}\fmfstraight\fmftop{tl,t1,t2,t3,t4,tr}
-\fmfbottom{bl,b1,b2,b3,b4,br}
-\fmf{phantom}{b1,v1,t1}\fmf{phantom}{b2,v2,t2}\fmf{phantom}{b3,v3,t3}
-\fmf{phantom}{b4,v4,t4}\fmffreeze
-\fmf{gluon}{i,v1,v2,v3,v4,o}
-\fmf{plain}{v1,t1}\fmf{plain}{v2,t2}\fmf{plain}{v3,t3}\fmf{plain}{v4,t4}
-\fmfblob{10thick}{i,o}
-\end{fmfgraph}}}
-\label{equ-struct-2}
-\end{equation}
-%
-
-The color flow structure of pieces of the type \eqref{equ-struct-2} is identical to that of
-%
-\begin{equation}\begin{gathered}
-\parbox{40mm}{\fmfframe(0,3)(0,0){\begin{fmfgraph}(40,15)
-\fmfleft{i}\fmfright{o}\fmf{gluon}{i,o}\fmfblob{10thick}{i,o}
-\end{fmfgraph}}}
-\\ = \\
-\parbox{40mm}{\fmfframe(0,0)(0,0){\begin{fmfgraph}(40,15)
-\fmfleft{i}\fmfright{o}\fmffreeze
-\fmfi{fermion}{vloc (__i) + thick*(0,1.5) -- vloc (__o) + thick*(0,1.5)}
-\fmfi{fermion}{vloc (__o) - thick*(0,1.5) -- vloc (__i) - thick*(0,1.5)}
-\fmfblob{10thick}{i,o}
-\end{fmfgraph}}}
-\\ + \\
-\parbox{40mm}{\fmfframe(0,0)(0,3){\begin{fmfgraph}(40,15)
-\fmfleft{i}\fmfright{o}\fmf{dashes}{i,o}\fmfblob{10thick}{i,o}
-\end{fmfgraph}}}
-\label{equ-flow-struct-2}
-\end{gathered}\end{equation}
-%
-(note that we are free to contract the $n$ Kronecker symbols at the vertices \eqref{equ-ggh}
-to a single $\delta_{ab}$ before transforming to the color flow decomposition by applying the
-completeness relation). The $n$ insertions of the $ggh$ type vertex give
-%
-\begin{equation}
-\parbox{40mm}{\fmfframe(0,3)(0,3){\begin{fmfgraph}(40,15)
-\fmfleft{i}\fmfright{o}\fmfstraight\fmftop{tl,t1,t2,t3,t4,tr}
-\fmfbottom{bl,b1,b2,b3,b4,br}
-\fmf{phantom}{b1,v1,t1}\fmf{phantom}{b2,v2,t2}\fmf{phantom}{b3,v3,t3}
-\fmf{phantom}{b4,v4,t4}\fmffreeze
-\fmfi{fermion}{vloc (__i) + thick*(0,1.5) -- vloc (__o) + thick*(0,1.5)}
-\fmfi{fermion}{vloc (__o) - thick*(0,1.5) -- vloc (__i) - thick*(0,1.5)}
-\fmfi{plain}{vloc (__v1) + thick*(0,1.5) -- vloc (__t1)}
-\fmfi{plain}{vloc (__v2) + thick*(0,1.5) -- vloc (__t2)}
-\fmfi{plain}{vloc (__v3) + thick*(0,1.5) -- vloc (__t3)}
-\fmfi{plain}{vloc (__v4) + thick*(0,1.5) -- vloc (__t4)}
-\fmfblob{10thick}{i,o}
-\end{fmfgraph}}}
-\end{equation}
-%
-and
-%
-\begin{equation}
-\parbox{40mm}{\fmfframe(0,3)(0,3){\begin{fmfgraph}(40,15)
-\fmfleft{i}\fmfright{o}\fmfstraight\fmftop{tl,t1,t2,t3,t4,tr}
-\fmfbottom{bl,b1,b2,b3,b4,br}
-\fmf{phantom}{b1,v1,t1}\fmf{phantom}{b2,v2,t2}\fmf{phantom}{b3,v3,t3}
-\fmf{phantom}{b4,v4,t4}\fmffreeze
-\fmf{dashes}{i,v1,v2,v3,v4,o}
-\fmf{plain}{v1,t1}\fmf{plain}{v2,t2}\fmf{plain}{v3,t3}\fmf{plain}{v4,t4}
-\fmfblob{10thick}{i,o}
-\end{fmfgraph}}}
-\end{equation}
-%
-According to \eqref{equ-ghost-rule}, the $n$ insertions of \eqref{equ-ggh} into the color flow ghost
-line give (note that there are $n+1$ ghost propagators involved)
-%
-\begin{equation}
-(-N_c)^{n}\left(\frac{-1}{N_c}\right)^{n+1} = \frac{(-1)^{2n + 1}}{N_c} = -\frac{1}{N_c}
-\end{equation}
-%
-which is the correct factor for a color flow ghost propagator. Therefore, the $n$ insertions of
-$ggh$ type vertices with the Feynman rules \eqref{equ-flow-rule}, \eqref{equ-ghost-rule} act just like a
-gluon propagator as far as color flow is concerned and therefore reproduce the correct flow
-\eqref{equ-flow-struct-2}. As color flows of this type already were handled correctly by the WHIZARD
-/ O'Mega algorithm before inserting the additional vertex (or vertices) of type \eqref{equ-ggh}, the
-color factors are correctly reproduced.
-
-As far as the closed color flow ribbons \eqref{equ-closed-ribbon} are concerned, the Feynman rules
-\eqref{equ-flow-rule}, \eqref{equ-ghost-rule} together with the prescription \eqref{equ-prescr}
-give us two contributions to the color factor of the term in the squared amplitude (note that there
-are $n$ vertices and $n$ propagators involved)
-%
-\begin{multline}
-\parbox{40mm}{\fmfframe(0,3)(0,3){\begin{fmfgraph}(40,30)
-\fmfcurved
-\fmfsurroundn{e}{8}
-\begin{fmffor}{n}{1}{1}{8}
-\fmf{plain}{e[n],i[n]}
-\end{fmffor}
-\fmfcyclen{phantom}{i}{8}
-\fmffreeze
-\fmfi{fermion}{vloc(__i[1]) .. vloc(__i[2]) .. vloc(__i[3]) .. vloc(__i[4]) .. vloc(__i[5])
-	.. vloc(__i[6]) .. vloc(__i[7]) .. vloc(__i[8]) .. cycle}
-\fmfi{fermion}{vloc(__i[5]) .. vloc(__i[6]) .. vloc(__i[7]) .. vloc(__i[8]) .. vloc(__i[1])
-	.. vloc(__i[2]) .. vloc(__i[3]) .. vloc(__i[4]) .. cycle}
-\fmfi{fermion}{reverse (vloc(__i[1]) .. vloc(__i[2]) .. vloc(__i[3]) .. vloc(__i[4]) .. vloc(__i[5])
-	.. vloc(__i[6]) .. vloc(__i[7]) .. vloc(__i[8]) .. cycle) scaled 0.8 shifted (.1w,.1h)}
-\fmfi{fermion}{reverse (vloc(__i[5]) .. vloc(__i[6]) .. vloc(__i[7]) .. vloc(__i[8]) .. vloc(__i[1])
-	.. vloc(__i[2]) .. vloc(__i[3]) .. vloc(__i[4]) .. cycle) scaled 0.8 shifted (.1w,.1h)}
-\end{fmfgraph}}}
-\quad + \quad
-\parbox{40mm}{\fmfframe(0,3)(0,3){\begin{fmfgraph}(40,30)
-\fmfsurroundn{e}{8}
-\begin{fmffor}{n}{1}{1}{8}
-\fmf{plain}{e[n],i[n]}
-\end{fmffor}
-\fmfcyclen{dashes}{i}{8}
-\end{fmfgraph}}}\\
-\quad = \quad N_c^2 - 2 + (-N_c)^n \left(\frac{-1}{N_c}\right)^n = N_c^2 - 1
-\end{multline}
-%
-recovering the correct result which can be trivially obtained from the color sum in the adjoint
-representation.
-
-\end{fmffile}
-\end{document}