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1 #LyX 2.0 created this file. For more info see http://www.lyx.org/
2 \lyxformat 413
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12 % have problems LaTeXing this file, please contact 
13 % the documentation team
14 % email: lyx-docs@lists.lyx.org
15
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55 \pdf_title "Feynman Diagrams"
56 \pdf_author "LyX Team, Uwe Stöhr, Ronen Abravanel"
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80 \index Index
81 \shortcut idx
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97 \end_header
98
99 \begin_body
100
101 \begin_layout Title
102 Feynman Diagrams
103 \end_layout
104
105 \begin_layout Standard
106 \begin_inset Note Note
107 status open
108
109 \begin_layout Plain Layout
110 authors: Uwe Stöhr and Ronen Abravanel
111 \end_layout
112
113 \end_inset
114
115
116 \end_layout
117
118 \begin_layout Standard
119 To be able to use 
120 \noun on
121 Feynman
122 \noun default
123  diagrams, the LaTeX-package 
124 \series bold
125 feyn
126 \series default
127  must be installed.
128  A Feynman diagram is created by inserting the command 
129 \series bold
130
131 \backslash
132 Diagram
133 \series default
134  in a formula.
135  Then you are able to add new matrix columns and rows like a normal matrices.
136  
137 \end_layout
138
139 \begin_layout Standard
140 As matrix entry, one can enter commands that act as 
141 \begin_inset Quotes eld
142 \end_inset
143
144 particles
145 \begin_inset Quotes erd
146 \end_inset
147
148  or 
149 \begin_inset Quotes eld
150 \end_inset
151
152 propagators
153 \begin_inset Quotes erd
154 \end_inset
155
156 , for example:
157 \end_layout
158
159 \begin_layout Standard
160 \align center
161 \begin_inset Tabular
162 <lyxtabular version="3" rows="7" columns="4">
163 <features booktabs="true" tabularvalignment="middle">
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165 <column alignment="center" valignment="middle" width="20col%">
166 <column alignment="center" valignment="middle" width="25col%">
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168 <row>
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170 \begin_inset Text
171
172 \begin_layout Plain Layout
173 Commands
174 \end_layout
175
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181 \begin_layout Plain Layout
182 Description
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187 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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189
190 \begin_layout Plain Layout
191 Example
192 \end_layout
193
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199 \begin_layout Plain Layout
200 Result
201 \end_layout
202
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210 \begin_layout Plain Layout
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217 \begin_inset Text
218
219 \begin_layout Plain Layout
220 \noindent
221 \align left
222 fermion, photon or ghost propagator.
223 \end_layout
224
225 \end_inset
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270
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283
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286 \end_inset
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300 \begin_inset Text
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302 \begin_layout Plain Layout
303 \noindent
304 \align left
305 fermion/photon, going up/down/vertical
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308 \end_inset
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372
373 \end_layout
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379
380 \end_inset
381
382
383 \end_layout
384
385 \end_inset
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388 \begin_inset Text
389
390 \begin_layout Plain Layout
391 \begin_inset Formula $\Diagram{fd &  & gu\\
392  & fv
393 }
394 $
395 \end_inset
396
397
398 \end_layout
399
400 \end_inset
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402 </row>
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411 \end_inset
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414 \begin_inset Text
415
416 \begin_layout Plain Layout
417 \noindent
418 \align left
419 A and V are modifiers to produce arrow going left/up or right/down
420 \end_layout
421
422 \end_inset
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484
485 \begin_layout Plain Layout
486
487 \end_layout
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489 \end_inset
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493
494 \end_inset
495
496
497 \end_layout
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499 \end_inset
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501 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
502 \begin_inset Text
503
504 \begin_layout Plain Layout
505 \begin_inset Formula $\Diagram{fdA &  & fuV\\
506  & gvV
507 }
508 $
509 \end_inset
510
511
512 \end_layout
513
514 \end_inset
515 </cell>
516 </row>
517 <row>
518 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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520
521 \begin_layout Plain Layout
522 fl,glB,glS,fl1,gl2, etc.
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524
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527 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
528 \begin_inset Text
529
530 \begin_layout Plain Layout
531 \noindent
532 \align left
533 fermions/photons loop
534 \end_layout
535
536 \end_inset
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539 \begin_inset Text
540
541 \begin_layout Plain Layout
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544 <features tabularvalignment="middle">
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559 \begin_inset Text
560
561 \begin_layout Plain Layout
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565 \end_inset
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567 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
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569
570 \begin_layout Plain Layout
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577 <row>
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579 \begin_inset Text
580
581 \begin_layout Plain Layout
582
583 \end_layout
584
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597 \begin_inset Text
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607
608 \end_inset
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610
611 \end_layout
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613 \end_inset
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615 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
616 \begin_inset Text
617
618 \begin_layout Plain Layout
619 \begin_inset Formula $\Diagram{f & gl\\
620  & f & f
621 }
622 $
623 \end_inset
624
625
626 \end_layout
627
628 \end_inset
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630 </row>
631 <row>
632 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
633 \begin_inset Text
634
635 \begin_layout Plain Layout
636
637 \backslash
638 momentum{ch}{text}
639 \end_layout
640
641 \end_inset
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643 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
644 \begin_inset Text
645
646 \begin_layout Plain Layout
647 \noindent
648 \align left
649 particle-momentum specification
650 \end_layout
651
652 \end_inset
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654 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
655 \begin_inset Text
656
657 \begin_layout Plain Layout
658 \begin_inset Formula $\backslash{\rm momentum}\{fA\}\{\vec{p\}}$
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660
661
662 \end_layout
663
664 \end_inset
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666 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
667 \begin_inset Text
668
669 \begin_layout Plain Layout
670 \begin_inset Formula $\Diagram{\momentum{fA}{\vec{p}}}
671 $
672 \end_inset
673
674
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676
677 \end_inset
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680 <row>
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684 \begin_layout Plain Layout
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686 \backslash
687 vertexlabel{p}{text}
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693 \begin_inset Text
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695 \begin_layout Plain Layout
696 \noindent
697 \align left
698 A vertex label 
699 \emph on
700 p
701 \emph default
702  is ^ or _ for labeling above or below vertex
703 \end_layout
704
705 \end_inset
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708 \begin_inset Text
709
710 \begin_layout Plain Layout
711 \begin_inset Tabular
712 <lyxtabular version="3" rows="2" columns="1">
713 <features tabularvalignment="middle">
714 <column alignment="center" valignment="top" width="0">
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716 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
717 \begin_inset Text
718
719 \begin_layout Plain Layout
720 \begin_inset Formula $\backslash{\rm vertexlabel}^{e^{+}}fA$
721 \end_inset
722
723
724 \end_layout
725
726 \end_inset
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728 </row>
729 <row>
730 <cell alignment="center" valignment="top" usebox="none">
731 \begin_inset Text
732
733 \begin_layout Plain Layout
734 \begin_inset Formula $fglS\backslash{\rm vertexlabel}_{\gamma}$
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736
737
738 \end_layout
739
740 \end_inset
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743 </lyxtabular>
744
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747
748 \end_layout
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752 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
753 \begin_inset Text
754
755 \begin_layout Plain Layout
756 \begin_inset Formula $\Diagram{\vertexlabel^{{\rm e^{+}}}fA\\
757 fglS\vertexlabel_{\gamma}
758 }
759 $
760 \end_inset
761
762
763 \end_layout
764
765 \end_inset
766 </cell>
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768 </lyxtabular>
769
770 \end_inset
771
772
773 \end_layout
774
775 \begin_layout Standard
776 These are just some of the options in the 
777 \series bold
778 feyn
779 \series default
780  package.
781  Its user manual can be found in 
782 \begin_inset CommandInset citation
783 LatexCommand cite
784 key "Feyn"
785
786 \end_inset
787
788 .
789 \end_layout
790
791 \begin_layout Standard
792 \begin_inset Note Greyedout
793 status open
794
795 \begin_layout Plain Layout
796
797 \series bold
798 Note:
799 \series default
800  If you have an index list in your document and use one of the AMS theorem
801  modules, you have to add the option 
802 \series bold
803 noglobalbang
804 \series default
805  to the document class options in the document settings.
806  This enables the usage of the '!' character in index entries (necessary
807  for subentries) but might cause troubles with the AMS align and align*
808  environments (which are described in section 
809 \begin_inset Quotes eld
810 \end_inset
811
812 Align Environments
813 \begin_inset Quotes erd
814 \end_inset
815
816  of LyX's Math manual).
817 \end_layout
818
819 \end_inset
820
821
822 \end_layout
823
824 \begin_layout Bibliography
825 \begin_inset CommandInset bibitem
826 LatexCommand bibitem
827 key "Feyn"
828
829 \end_inset
830
831
832 \begin_inset CommandInset href
833 LatexCommand href
834 name "Documentation"
835 target "http://mirror.ctan.org/fonts/feyn/feyn.pdf"
836
837 \end_inset
838
839  of the LaTeX-Package 
840 \series bold
841 feyn
842 \end_layout
843
844 \end_body
845 \end_document