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1 #LyX 2.1 created this file. For more info see http://www.lyx.org/
2 \lyxformat 474
3 \begin_document
4 \begin_header
5 \textclass article
6 \begin_preamble
7 % DO NOT ALTER THIS PREAMBLE!!!
8 %
9 % This preamble is designed to ensure that the file prints
10 % out as advertised. If you mess with this preamble,
11 % parts of this document may not print out as expected.  If you
12 % have problems LaTeXing this file, please contact 
13 % the documentation team
14 % email: lyx-docs@lists.lyx.org
15
16 % if pdflatex is used
17 \usepackage{ifpdf}
18 \ifpdf
19
20 % set fonts for nicer pdf view
21 %\IfFileExists{lmodern.sty}
22  {\usepackage{lmodern}}{}
23
24 \fi % end if pdflatex is used
25
26 % increase link area for cross-references and autoname them,
27 \AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}}
28 \newlength{\abc}
29 \settowidth{\abc}{\space}
30 \addto\extrasenglish{
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32  \renewcommand{\sectionautorefname}{sec.\negthinspace}
33  \renewcommand{\subsectionautorefname}{sec.\negthinspace}
34  \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}}
35
36 % wird benutzt, um Tabellenzellen zu vergrosern
37 \@ifundefined{extrarowheight}
38  {\usepackage{array}}{}
39 \setlength{\extrarowheight}{5pt}
40 \end_preamble
41 \use_default_options true
42 \maintain_unincluded_children false
43 \language japanese
44 \language_package default
45 \inputencoding auto
46 \fontencoding global
47 \font_roman default
48 \font_sans default
49 \font_typewriter default
50 \font_math auto
51 \font_default_family default
52 \use_non_tex_fonts false
53 \font_sc false
54 \font_osf false
55 \font_sf_scale 100
56 \font_tt_scale 100
57 \graphics default
58 \default_output_format pdf
59 \output_sync 0
60 \bibtex_command default
61 \index_command default
62 \paperfontsize 12
63 \spacing single
64 \use_hyperref true
65 \pdf_title "Feynman Diagrams"
66 \pdf_author "LyX Team, Uwe Stohr, Ronen Abravanel"
67 \pdf_bookmarks true
68 \pdf_bookmarksnumbered false
69 \pdf_bookmarksopen false
70 \pdf_bookmarksopenlevel 1
71 \pdf_breaklinks false
72 \pdf_pdfborder true
73 \pdf_colorlinks false
74 \pdf_backref false
75 \pdf_pdfusetitle false
76 \pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false"
77 \papersize a4paper
78 \use_geometry false
79 \use_package amsmath 1
80 \use_package amssymb 1
81 \use_package cancel 0
82 \use_package esint 1
83 \use_package mathdots 1
84 \use_package mathtools 0
85 \use_package mhchem 1
86 \use_package stackrel 0
87 \use_package stmaryrd 0
88 \use_package undertilde 0
89 \cite_engine basic
90 \cite_engine_type default
91 \biblio_style plain
92 \use_bibtopic false
93 \use_indices false
94 \paperorientation portrait
95 \suppress_date false
96 \justification true
97 \use_refstyle 0
98 \index Index
99 \shortcut idx
100 \color #008000
101 \end_index
102 \secnumdepth 3
103 \tocdepth 3
104 \paragraph_separation skip
105 \defskip medskip
106 \quotes_language english
107 \papercolumns 1
108 \papersides 1
109 \paperpagestyle default
110 \tracking_changes false
111 \output_changes false
112 \html_math_output 0
113 \html_css_as_file 0
114 \html_be_strict false
115 \end_header
116
117 \begin_body
118
119 \begin_layout Title
120 ファインマン図
121 \end_layout
122
123 \begin_layout Standard
124 ファインマン図(
125 \noun on
126 Feynman
127 \noun default
128  diagram)を利用するためには、LaTeXパッケージ
129 \series bold
130 feyn
131 \series default
132 を導入しておく必要があります。ファインマン図は、数式中にコマンド
133 \series bold
134
135 \backslash
136 Diagram
137 \series default
138 を挿入することで作ることができます。すると、新しい行列を通常の行列と同じようにして作ることができます。
139 \end_layout
140
141 \begin_layout Standard
142 以下に示すように、「分子」や「伝搬関数」として振る舞うコマンドを、行列の項目として入力することができます。
143 \end_layout
144
145 \begin_layout Standard
146 \align center
147 \begin_inset Tabular
148 <lyxtabular version="3" rows="7" columns="4">
149 <features rotate="0" booktabs="true" tabularvalignment="middle">
150 <column alignment="center" valignment="middle" width="28col%">
151 <column alignment="center" valignment="middle" width="20col%">
152 <column alignment="center" valignment="middle" width="25col%">
153 <column alignment="center" valignment="middle" width="20col%">
154 <row>
155 <cell alignment="center" valignment="top" topline="true" usebox="none">
156 \begin_inset Text
157
158 \begin_layout Plain Layout
159 コマンド
160 \end_layout
161
162 \end_inset
163 </cell>
164 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
165 \begin_inset Text
166
167 \begin_layout Plain Layout
168 説明
169 \end_layout
170
171 \end_inset
172 </cell>
173 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
174 \begin_inset Text
175
176 \begin_layout Plain Layout
177
178 \end_layout
179
180 \end_inset
181 </cell>
182 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
183 \begin_inset Text
184
185 \begin_layout Plain Layout
186 出力
187 \end_layout
188
189 \end_inset
190 </cell>
191 </row>
192 <row>
193 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
194 \begin_inset Text
195
196 \begin_layout Plain Layout
197 f,g,h
198 \end_layout
199
200 \end_inset
201 </cell>
202 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
203 \begin_inset Text
204
205 \begin_layout Plain Layout
206 \noindent
207 \align left
208 フェルミ粒子・光子・ ゴースト伝搬関数
209 \end_layout
210
211 \end_inset
212 </cell>
213 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
214 \begin_inset Text
215
216 \begin_layout Plain Layout
217 \begin_inset Tabular
218 <lyxtabular version="3" rows="1" columns="3">
219 <features rotate="0" tabularvalignment="middle">
220 <column alignment="center" valignment="top">
221 <column alignment="center" valignment="top">
222 <column alignment="center" valignment="top">
223 <row>
224 <cell alignment="center" valignment="top" rightline="true" usebox="none">
225 \begin_inset Text
226
227 \begin_layout Plain Layout
228 f
229 \end_layout
230
231 \end_inset
232 </cell>
233 <cell alignment="center" valignment="top" rightline="true" usebox="none">
234 \begin_inset Text
235
236 \begin_layout Plain Layout
237 g
238 \end_layout
239
240 \end_inset
241 </cell>
242 <cell alignment="center" valignment="top" usebox="none">
243 \begin_inset Text
244
245 \begin_layout Plain Layout
246 h
247 \end_layout
248
249 \end_inset
250 </cell>
251 </row>
252 </lyxtabular>
253
254 \end_inset
255
256
257 \end_layout
258
259 \end_inset
260 </cell>
261 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
262 \begin_inset Text
263
264 \begin_layout Plain Layout
265 \begin_inset Formula $\Diagram{f & g & h}
266 $
267 \end_inset
268
269
270 \end_layout
271
272 \end_inset
273 </cell>
274 </row>
275 <row>
276 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
277 \begin_inset Text
278
279 \begin_layout Plain Layout
280 fu,fd,fv (gu,gd,gv)
281 \end_layout
282
283 \end_inset
284 </cell>
285 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
286 \begin_inset Text
287
288 \begin_layout Plain Layout
289 \noindent
290 \align left
291 上向き・下向き・垂直のフェルミ粒子・光子
292 \end_layout
293
294 \end_inset
295 </cell>
296 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
297 \begin_inset Text
298
299 \begin_layout Plain Layout
300 \begin_inset Tabular
301 <lyxtabular version="3" rows="2" columns="3">
302 <features rotate="0" tabularvalignment="middle">
303 <column alignment="center" valignment="top">
304 <column alignment="center" valignment="top">
305 <column alignment="center" valignment="middle">
306 <row>
307 <cell alignment="center" valignment="top" usebox="none">
308 \begin_inset Text
309
310 \begin_layout Plain Layout
311 fd
312 \end_layout
313
314 \end_inset
315 </cell>
316 <cell alignment="center" valignment="top" leftline="true" usebox="none">
317 \begin_inset Text
318
319 \begin_layout Plain Layout
320
321 \end_layout
322
323 \end_inset
324 </cell>
325 <cell alignment="center" valignment="top" leftline="true" usebox="none">
326 \begin_inset Text
327
328 \begin_layout Plain Layout
329 gu
330 \end_layout
331
332 \end_inset
333 </cell>
334 </row>
335 <row>
336 <cell alignment="center" valignment="top" topline="true" usebox="none">
337 \begin_inset Text
338
339 \begin_layout Plain Layout
340
341 \end_layout
342
343 \end_inset
344 </cell>
345 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
346 \begin_inset Text
347
348 \begin_layout Plain Layout
349 fv
350 \end_layout
351
352 \end_inset
353 </cell>
354 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
355 \begin_inset Text
356
357 \begin_layout Plain Layout
358
359 \end_layout
360
361 \end_inset
362 </cell>
363 </row>
364 </lyxtabular>
365
366 \end_inset
367
368
369 \end_layout
370
371 \end_inset
372 </cell>
373 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
374 \begin_inset Text
375
376 \begin_layout Plain Layout
377 \begin_inset Formula $\Diagram{fd &  & gu\\
378  & fv
379 }
380 $
381 \end_inset
382
383
384 \end_layout
385
386 \end_inset
387 </cell>
388 </row>
389 <row>
390 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
391 \begin_inset Text
392
393 \begin_layout Plain Layout
394 fA,fV
395 \end_layout
396
397 \end_inset
398 </cell>
399 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
400 \begin_inset Text
401
402 \begin_layout Plain Layout
403 \noindent
404 \align left
405 AおよびVは、左ないし上向きの矢印や、右ないし下向きの矢印を生成する修飾子
406 \end_layout
407
408 \end_inset
409 </cell>
410 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
411 \begin_inset Text
412
413 \begin_layout Plain Layout
414 \begin_inset Tabular
415 <lyxtabular version="3" rows="2" columns="3">
416 <features rotate="0" tabularvalignment="middle">
417 <column alignment="center" valignment="top">
418 <column alignment="center" valignment="top">
419 <column alignment="center" valignment="middle">
420 <row>
421 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
422 \begin_inset Text
423
424 \begin_layout Plain Layout
425 fdA
426 \end_layout
427
428 \end_inset
429 </cell>
430 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
431 \begin_inset Text
432
433 \begin_layout Plain Layout
434
435 \end_layout
436
437 \end_inset
438 </cell>
439 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
440 \begin_inset Text
441
442 \begin_layout Plain Layout
443 fuV
444 \end_layout
445
446 \end_inset
447 </cell>
448 </row>
449 <row>
450 <cell alignment="center" valignment="top" rightline="true" usebox="none">
451 \begin_inset Text
452
453 \begin_layout Plain Layout
454
455 \end_layout
456
457 \end_inset
458 </cell>
459 <cell alignment="center" valignment="top" rightline="true" usebox="none">
460 \begin_inset Text
461
462 \begin_layout Plain Layout
463 gvV
464 \end_layout
465
466 \end_inset
467 </cell>
468 <cell alignment="center" valignment="top" usebox="none">
469 \begin_inset Text
470
471 \begin_layout Plain Layout
472
473 \end_layout
474
475 \end_inset
476 </cell>
477 </row>
478 </lyxtabular>
479
480 \end_inset
481
482
483 \end_layout
484
485 \end_inset
486 </cell>
487 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
488 \begin_inset Text
489
490 \begin_layout Plain Layout
491 \begin_inset Formula $\Diagram{fdA &  & fuV\\
492  & gvV
493 }
494 $
495 \end_inset
496
497
498 \end_layout
499
500 \end_inset
501 </cell>
502 </row>
503 <row>
504 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
505 \begin_inset Text
506
507 \begin_layout Plain Layout
508 fl,glB,glS,fl1,gl2など
509 \end_layout
510
511 \end_inset
512 </cell>
513 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
514 \begin_inset Text
515
516 \begin_layout Plain Layout
517 \noindent
518 \align left
519 フェルミ粒子ループ・光子ループ
520 \end_layout
521
522 \end_inset
523 </cell>
524 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
525 \begin_inset Text
526
527 \begin_layout Plain Layout
528 \begin_inset Tabular
529 <lyxtabular version="3" rows="2" columns="3">
530 <features rotate="0" tabularvalignment="middle">
531 <column alignment="center" valignment="top">
532 <column alignment="center" valignment="top">
533 <column alignment="center" valignment="middle">
534 <row>
535 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
536 \begin_inset Text
537
538 \begin_layout Plain Layout
539 f
540 \end_layout
541
542 \end_inset
543 </cell>
544 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
545 \begin_inset Text
546
547 \begin_layout Plain Layout
548 gl
549 \end_layout
550
551 \end_inset
552 </cell>
553 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
554 \begin_inset Text
555
556 \begin_layout Plain Layout
557
558 \end_layout
559
560 \end_inset
561 </cell>
562 </row>
563 <row>
564 <cell alignment="center" valignment="top" rightline="true" usebox="none">
565 \begin_inset Text
566
567 \begin_layout Plain Layout
568
569 \end_layout
570
571 \end_inset
572 </cell>
573 <cell alignment="center" valignment="top" rightline="true" usebox="none">
574 \begin_inset Text
575
576 \begin_layout Plain Layout
577 f
578 \end_layout
579
580 \end_inset
581 </cell>
582 <cell alignment="center" valignment="top" usebox="none">
583 \begin_inset Text
584
585 \begin_layout Plain Layout
586 f
587 \end_layout
588
589 \end_inset
590 </cell>
591 </row>
592 </lyxtabular>
593
594 \end_inset
595
596
597 \end_layout
598
599 \end_inset
600 </cell>
601 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
602 \begin_inset Text
603
604 \begin_layout Plain Layout
605 \begin_inset Formula $\Diagram{f & gl\\
606  & f & f
607 }
608 $
609 \end_inset
610
611
612 \end_layout
613
614 \end_inset
615 </cell>
616 </row>
617 <row>
618 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
619 \begin_inset Text
620
621 \begin_layout Plain Layout
622
623 \backslash
624 momentum{ch}{文字列}
625 \end_layout
626
627 \end_inset
628 </cell>
629 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
630 \begin_inset Text
631
632 \begin_layout Plain Layout
633 \noindent
634 \align left
635 分子運動量の指定
636 \end_layout
637
638 \end_inset
639 </cell>
640 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
641 \begin_inset Text
642
643 \begin_layout Plain Layout
644 \begin_inset Formula $\backslash{\rm momentum}\{fA\}\{\vec{p\}}$
645 \end_inset
646
647
648 \end_layout
649
650 \end_inset
651 </cell>
652 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
653 \begin_inset Text
654
655 \begin_layout Plain Layout
656 \begin_inset Formula $\Diagram{\momentum{fA}{\vec{p}}}
657 $
658 \end_inset
659
660
661 \end_layout
662
663 \end_inset
664 </cell>
665 </row>
666 <row>
667 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
668 \begin_inset Text
669
670 \begin_layout Plain Layout
671
672 \backslash
673 vertexlabel{p}{文字列}
674 \end_layout
675
676 \end_inset
677 </cell>
678 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
679 \begin_inset Text
680
681 \begin_layout Plain Layout
682 \noindent
683 \align left
684 頂点ラベル(vertex label)。頂点の上にラベルを付けるときは
685 \emph on
686 p
687 \emph default
688 は^、下に付けるときは_
689 \end_layout
690
691 \end_inset
692 </cell>
693 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
694 \begin_inset Text
695
696 \begin_layout Plain Layout
697 \begin_inset Tabular
698 <lyxtabular version="3" rows="2" columns="1">
699 <features rotate="0" tabularvalignment="middle">
700 <column alignment="center" valignment="top">
701 <row>
702 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
703 \begin_inset Text
704
705 \begin_layout Plain Layout
706 \begin_inset Formula $\backslash{\rm vertexlabel}^{e^{+}}fA$
707 \end_inset
708
709
710 \end_layout
711
712 \end_inset
713 </cell>
714 </row>
715 <row>
716 <cell alignment="center" valignment="top" usebox="none">
717 \begin_inset Text
718
719 \begin_layout Plain Layout
720 \begin_inset Formula $fglS\backslash{\rm vertexlabel}_{\gamma}$
721 \end_inset
722
723
724 \end_layout
725
726 \end_inset
727 </cell>
728 </row>
729 </lyxtabular>
730
731 \end_inset
732
733
734 \end_layout
735
736 \end_inset
737 </cell>
738 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
739 \begin_inset Text
740
741 \begin_layout Plain Layout
742 \begin_inset Formula $\Diagram{\vertexlabel^{{\rm e^{+}}}fA\\
743 fglS\vertexlabel_{\gamma}
744 }
745 $
746 \end_inset
747
748
749 \end_layout
750
751 \end_inset
752 </cell>
753 </row>
754 </lyxtabular>
755
756 \end_inset
757
758
759 \end_layout
760
761 \begin_layout Standard
762 これらは、
763 \series bold
764 feyn
765 \series default
766 パッケージのオプションの一部に過ぎません。ユーザーの手引きは
767 \begin_inset CommandInset citation
768 LatexCommand cite
769 key "Feyn"
770
771 \end_inset
772
773 にあります。
774 \end_layout
775
776 \begin_layout Bibliography
777 \begin_inset CommandInset bibitem
778 LatexCommand bibitem
779 key "Feyn"
780
781 \end_inset
782
783 LaTeXパッケージ
784 \series bold
785 feyn
786 \series default
787
788 \begin_inset CommandInset href
789 LatexCommand href
790 name "取扱説明書"
791 target "http://mirror.ctan.org/fonts/feyn/feyn.pdf"
792
793 \end_inset
794
795
796 \end_layout
797
798 \end_body
799 \end_document