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1 #LyX 2.4 created this file. For more info see https://www.lyx.org/
2 \lyxformat 620
3 \begin_document
4 \begin_header
5 \save_transient_properties true
6 \origin /systemlyxdir/examples/Graphics_and_Insets/
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8 \begin_preamble
9 % DO NOT ALTER THIS PREAMBLE!!!
10 %
11 % This preamble is designed to ensure that the file prints
12 % out as advertised. If you mess with this preamble,
13 % parts of this document may not print out as expected.  If you
14 % have problems LaTeXing this file, please contact 
15 % the documentation team
16 % email: lyx-docs@lists.lyx.org
17
18 % if pdflatex is used
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28 % used to have extra space in table cells
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31 \setlength{\extrarowheight}{5pt}
32 % Added by lyx2lyx
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59 \bibtex_command default
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61 \paperfontsize 12
62 \spacing single
63 \use_hyperref true
64 \pdf_title "Feynman Diagrams"
65 \pdf_author "LyX Team, Uwe Stöhr, Ronen Abravanel"
66 \pdf_bookmarks false
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83 \use_package mathtools 1
84 \use_package mhchem 1
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100 \index Index
101 \shortcut idx
102 \color #008000
103 \end_index
104 \secnumdepth 3
105 \tocdepth 3
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125 \end_header
126
127 \begin_body
128
129 \begin_layout Title
130 Feynman Diagrams
131 \end_layout
132
133 \begin_layout Standard
134 \begin_inset Note Note
135 status open
136
137 \begin_layout Plain Layout
138 authors:
139  Uwe Stöhr and Ronen Abravanel
140 \end_layout
141
142 \end_inset
143
144
145 \end_layout
146
147 \begin_layout Standard
148 To be able to create 
149 \noun on
150 Feynman
151 \noun default
152  diagrams,
153  the \SpecialChar LaTeX
154 -package 
155 \series bold
156 feyn
157 \series default
158  must be installed.
159  A 
160 \noun on
161 Feynman
162 \noun default
163  diagram is created by inserting the command 
164 \series bold
165
166 \backslash
167 Diagram
168 \series default
169  in a formula.
170  Then you are able to add new matrix columns and rows like a normal matrices.
171  
172 \end_layout
173
174 \begin_layout Standard
175 As matrix entry,
176  one can enter commands that act as 
177 \begin_inset Quotes eld
178 \end_inset
179
180 particles
181 \begin_inset Quotes erd
182 \end_inset
183
184  or 
185 \begin_inset Quotes eld
186 \end_inset
187
188 propagators
189 \begin_inset Quotes erd
190 \end_inset
191
192 ,
193  for example:
194 \end_layout
195
196 \begin_layout Standard
197 \align center
198 \begin_inset Tabular
199 <lyxtabular version="3" rows="7" columns="4">
200 <features booktabs="true" tabularvalignment="middle">
201 <column alignment="center" valignment="middle" width="28col%">
202 <column alignment="center" valignment="middle" width="20col%">
203 <column alignment="center" valignment="middle" width="25col%">
204 <column alignment="center" valignment="middle" width="20col%">
205 <row>
206 <cell alignment="center" valignment="top" topline="true" usebox="none">
207 \begin_inset Text
208
209 \begin_layout Plain Layout
210 Commands
211 \end_layout
212
213 \end_inset
214 </cell>
215 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
216 \begin_inset Text
217
218 \begin_layout Plain Layout
219 Description
220 \end_layout
221
222 \end_inset
223 </cell>
224 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
225 \begin_inset Text
226
227 \begin_layout Plain Layout
228 Example
229 \end_layout
230
231 \end_inset
232 </cell>
233 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
234 \begin_inset Text
235
236 \begin_layout Plain Layout
237 Result
238 \end_layout
239
240 \end_inset
241 </cell>
242 </row>
243 <row>
244 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
245 \begin_inset Text
246
247 \begin_layout Plain Layout
248 f,g,h
249 \end_layout
250
251 \end_inset
252 </cell>
253 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
254 \begin_inset Text
255
256 \begin_layout Plain Layout
257 \noindent
258 \align left
259 fermion,
260  photon or ghost propagator
261 \end_layout
262
263 \end_inset
264 </cell>
265 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
266 \begin_inset Text
267
268 \begin_layout Plain Layout
269 \begin_inset Tabular
270 <lyxtabular version="3" rows="1" columns="3">
271 <features tabularvalignment="middle">
272 <column alignment="center" valignment="top">
273 <column alignment="center" valignment="top">
274 <column alignment="center" valignment="top">
275 <row>
276 <cell alignment="center" valignment="top" rightline="true" usebox="none">
277 \begin_inset Text
278
279 \begin_layout Plain Layout
280 f
281 \end_layout
282
283 \end_inset
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286 \begin_inset Text
287
288 \begin_layout Plain Layout
289 g
290 \end_layout
291
292 \end_inset
293 </cell>
294 <cell alignment="center" valignment="top" usebox="none">
295 \begin_inset Text
296
297 \begin_layout Plain Layout
298 h
299 \end_layout
300
301 \end_inset
302 </cell>
303 </row>
304 </lyxtabular>
305
306 \end_inset
307
308
309 \end_layout
310
311 \end_inset
312 </cell>
313 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
314 \begin_inset Text
315
316 \begin_layout Plain Layout
317 \begin_inset Formula $\Diagram{f & g & h}
318 $
319 \end_inset
320
321
322 \end_layout
323
324 \end_inset
325 </cell>
326 </row>
327 <row>
328 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
329 \begin_inset Text
330
331 \begin_layout Plain Layout
332 fu,fd,fv (gu,gd,gv)
333 \end_layout
334
335 \end_inset
336 </cell>
337 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
338 \begin_inset Text
339
340 \begin_layout Plain Layout
341 \noindent
342 \align left
343 fermion/photon,
344  going up/down/vertical
345 \end_layout
346
347 \end_inset
348 </cell>
349 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
350 \begin_inset Text
351
352 \begin_layout Plain Layout
353 \begin_inset Tabular
354 <lyxtabular version="3" rows="2" columns="3">
355 <features tabularvalignment="middle">
356 <column alignment="center" valignment="top">
357 <column alignment="center" valignment="top">
358 <column alignment="center" valignment="middle">
359 <row>
360 <cell alignment="center" valignment="top" usebox="none">
361 \begin_inset Text
362
363 \begin_layout Plain Layout
364 fd
365 \end_layout
366
367 \end_inset
368 </cell>
369 <cell alignment="center" valignment="top" leftline="true" usebox="none">
370 \begin_inset Text
371
372 \begin_layout Plain Layout
373
374 \end_layout
375
376 \end_inset
377 </cell>
378 <cell alignment="center" valignment="top" leftline="true" usebox="none">
379 \begin_inset Text
380
381 \begin_layout Plain Layout
382 gu
383 \end_layout
384
385 \end_inset
386 </cell>
387 </row>
388 <row>
389 <cell alignment="center" valignment="top" topline="true" usebox="none">
390 \begin_inset Text
391
392 \begin_layout Plain Layout
393
394 \end_layout
395
396 \end_inset
397 </cell>
398 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
399 \begin_inset Text
400
401 \begin_layout Plain Layout
402 fv
403 \end_layout
404
405 \end_inset
406 </cell>
407 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
408 \begin_inset Text
409
410 \begin_layout Plain Layout
411
412 \end_layout
413
414 \end_inset
415 </cell>
416 </row>
417 </lyxtabular>
418
419 \end_inset
420
421
422 \end_layout
423
424 \end_inset
425 </cell>
426 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
427 \begin_inset Text
428
429 \begin_layout Plain Layout
430 \begin_inset Formula $\Diagram{fd &  & gu\\
431  & fv
432 }
433 $
434 \end_inset
435
436
437 \end_layout
438
439 \end_inset
440 </cell>
441 </row>
442 <row>
443 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
444 \begin_inset Text
445
446 \begin_layout Plain Layout
447 fA,fV
448 \end_layout
449
450 \end_inset
451 </cell>
452 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
453 \begin_inset Text
454
455 \begin_layout Plain Layout
456 \noindent
457 \align left
458 A and V are modifiers to produce arrow going left/up or right/down
459 \end_layout
460
461 \end_inset
462 </cell>
463 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
464 \begin_inset Text
465
466 \begin_layout Plain Layout
467 \begin_inset Tabular
468 <lyxtabular version="3" rows="2" columns="3">
469 <features tabularvalignment="middle">
470 <column alignment="center" valignment="top">
471 <column alignment="center" valignment="top">
472 <column alignment="center" valignment="middle">
473 <row>
474 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
475 \begin_inset Text
476
477 \begin_layout Plain Layout
478 fdA
479 \end_layout
480
481 \end_inset
482 </cell>
483 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
484 \begin_inset Text
485
486 \begin_layout Plain Layout
487
488 \end_layout
489
490 \end_inset
491 </cell>
492 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
493 \begin_inset Text
494
495 \begin_layout Plain Layout
496 fuV
497 \end_layout
498
499 \end_inset
500 </cell>
501 </row>
502 <row>
503 <cell alignment="center" valignment="top" rightline="true" usebox="none">
504 \begin_inset Text
505
506 \begin_layout Plain Layout
507
508 \end_layout
509
510 \end_inset
511 </cell>
512 <cell alignment="center" valignment="top" rightline="true" usebox="none">
513 \begin_inset Text
514
515 \begin_layout Plain Layout
516 gvV
517 \end_layout
518
519 \end_inset
520 </cell>
521 <cell alignment="center" valignment="top" usebox="none">
522 \begin_inset Text
523
524 \begin_layout Plain Layout
525
526 \end_layout
527
528 \end_inset
529 </cell>
530 </row>
531 </lyxtabular>
532
533 \end_inset
534
535
536 \end_layout
537
538 \end_inset
539 </cell>
540 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
541 \begin_inset Text
542
543 \begin_layout Plain Layout
544 \begin_inset Formula $\Diagram{fdA &  & fuV\\
545  & gvV
546 }
547 $
548 \end_inset
549
550
551 \end_layout
552
553 \end_inset
554 </cell>
555 </row>
556 <row>
557 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
558 \begin_inset Text
559
560 \begin_layout Plain Layout
561 fl,glB,glS,fl1,gl2,
562  etc.
563 \end_layout
564
565 \end_inset
566 </cell>
567 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
568 \begin_inset Text
569
570 \begin_layout Plain Layout
571 \noindent
572 \align left
573 fermions/photons loop
574 \end_layout
575
576 \end_inset
577 </cell>
578 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
579 \begin_inset Text
580
581 \begin_layout Plain Layout
582 \begin_inset Tabular
583 <lyxtabular version="3" rows="2" columns="3">
584 <features tabularvalignment="middle">
585 <column alignment="center" valignment="top">
586 <column alignment="center" valignment="top">
587 <column alignment="center" valignment="middle">
588 <row>
589 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
590 \begin_inset Text
591
592 \begin_layout Plain Layout
593 f
594 \end_layout
595
596 \end_inset
597 </cell>
598 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
599 \begin_inset Text
600
601 \begin_layout Plain Layout
602 gl
603 \end_layout
604
605 \end_inset
606 </cell>
607 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
608 \begin_inset Text
609
610 \begin_layout Plain Layout
611
612 \end_layout
613
614 \end_inset
615 </cell>
616 </row>
617 <row>
618 <cell alignment="center" valignment="top" rightline="true" usebox="none">
619 \begin_inset Text
620
621 \begin_layout Plain Layout
622
623 \end_layout
624
625 \end_inset
626 </cell>
627 <cell alignment="center" valignment="top" rightline="true" usebox="none">
628 \begin_inset Text
629
630 \begin_layout Plain Layout
631 f
632 \end_layout
633
634 \end_inset
635 </cell>
636 <cell alignment="center" valignment="top" usebox="none">
637 \begin_inset Text
638
639 \begin_layout Plain Layout
640 f
641 \end_layout
642
643 \end_inset
644 </cell>
645 </row>
646 </lyxtabular>
647
648 \end_inset
649
650
651 \end_layout
652
653 \end_inset
654 </cell>
655 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
656 \begin_inset Text
657
658 \begin_layout Plain Layout
659 \begin_inset Formula $\Diagram{f & gl\\
660  & f & f
661 }
662 $
663 \end_inset
664
665
666 \end_layout
667
668 \end_inset
669 </cell>
670 </row>
671 <row>
672 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
673 \begin_inset Text
674
675 \begin_layout Plain Layout
676
677 \backslash
678 momentum{ch}{text}
679 \end_layout
680
681 \end_inset
682 </cell>
683 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
684 \begin_inset Text
685
686 \begin_layout Plain Layout
687 \noindent
688 \align left
689 particle-momentum specification
690 \end_layout
691
692 \end_inset
693 </cell>
694 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
695 \begin_inset Text
696
697 \begin_layout Plain Layout
698 \begin_inset Formula $\backslash\mathrm{momentum}\{fA\}\{\vec{p\}}$
699 \end_inset
700
701
702 \end_layout
703
704 \end_inset
705 </cell>
706 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
707 \begin_inset Text
708
709 \begin_layout Plain Layout
710 \begin_inset Formula $\Diagram{\momentum{fA}{\vec{p}}}
711 $
712 \end_inset
713
714
715 \end_layout
716
717 \end_inset
718 </cell>
719 </row>
720 <row>
721 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
722 \begin_inset Text
723
724 \begin_layout Plain Layout
725
726 \backslash
727 vertexlabel{p}{text}
728 \end_layout
729
730 \end_inset
731 </cell>
732 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
733 \begin_inset Text
734
735 \begin_layout Plain Layout
736 \noindent
737 \align left
738 the vertex label 
739 \emph on
740 p
741 \emph default
742  is either '^' or '_' for labeling above or below the vertex
743 \end_layout
744
745 \end_inset
746 </cell>
747 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
748 \begin_inset Text
749
750 \begin_layout Plain Layout
751 \begin_inset Tabular
752 <lyxtabular version="3" rows="2" columns="1">
753 <features tabularvalignment="middle">
754 <column alignment="center" valignment="top">
755 <row>
756 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
757 \begin_inset Text
758
759 \begin_layout Plain Layout
760 \begin_inset Formula $\backslash\mathrm{vertexlabel}^{e^{+}}fA$
761 \end_inset
762
763
764 \end_layout
765
766 \end_inset
767 </cell>
768 </row>
769 <row>
770 <cell alignment="center" valignment="top" usebox="none">
771 \begin_inset Text
772
773 \begin_layout Plain Layout
774 \begin_inset Formula $fglS\backslash\mathrm{vertexlabel}_{\gamma}$
775 \end_inset
776
777
778 \end_layout
779
780 \end_inset
781 </cell>
782 </row>
783 </lyxtabular>
784
785 \end_inset
786
787
788 \end_layout
789
790 \end_inset
791 </cell>
792 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
793 \begin_inset Text
794
795 \begin_layout Plain Layout
796 \begin_inset Formula $\Diagram{\vertexlabel^{\mathrm{e^{+}}}fA\\
797 fglS\vertexlabel_{\gamma}
798 }
799 $
800 \end_inset
801
802
803 \end_layout
804
805 \end_inset
806 </cell>
807 </row>
808 </lyxtabular>
809
810 \end_inset
811
812
813 \end_layout
814
815 \begin_layout Standard
816 These are just some of the features of thepackage 
817 \series bold
818 feyn
819 \series default
820  whose user manual can be found in 
821 \begin_inset CommandInset citation
822 LatexCommand cite
823 key "Feyn"
824 literal "true"
825
826 \end_inset
827
828 .
829 \end_layout
830
831 \begin_layout Standard
832 \begin_inset Note Greyedout
833 status open
834
835 \begin_layout Plain Layout
836
837 \series bold
838 Note:
839
840 \series default
841  If you have an index list in your document and use one of the AMS theorem modules,
842  you have to add the option 
843 \series bold
844 noglobalbang
845 \series default
846  to the document class options in the document settings.
847  This enables the usage of the '!' character in index entries (necessary for subentries) but might cause troubles with the align environments (which are described in section 
848 \begin_inset Quotes eld
849 \end_inset
850
851 Align Environments
852 \begin_inset Quotes erd
853 \end_inset
854
855  of \SpecialChar LyX
856 's Math manual).
857 \end_layout
858
859 \end_inset
860
861
862 \end_layout
863
864 \begin_layout Bibliography
865 \begin_inset CommandInset bibitem
866 LatexCommand bibitem
867 key "Feyn"
868 literal "true"
869
870 \end_inset
871
872
873 \begin_inset CommandInset href
874 LatexCommand href
875 name "Documentation"
876 target "http://mirror.ctan.org/fonts/feyn/feyn.pdf"
877 literal "false"
878
879 \end_inset
880
881  of the \SpecialChar LaTeX
882  package 
883 \series bold
884 feyn
885 \end_layout
886
887 \end_body
888 \end_document