lib/examples/ja/FeynmanDiagrams.lyx

   1 #LyX 2.3 created this file. For more info see http://www.lyx.org/
   2 \lyxformat 541
   3 \begin_document
   4 \begin_header
   5 \save_transient_properties true
   6 \origin /systemlyxdir/examples/ja/
   7 \textclass article
   8 \begin_preamble
   9 % DO NOT ALTER THIS PREAMBLE!!!
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  11 % This preamble is designed to ensure that the file prints
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  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
  19 \usepackage{ifpdf}
  20 \ifpdf
  21
  22 % set fonts for nicer pdf view
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  24  {\usepackage{lmodern}}{}
  25
  26 \fi % end if pdflatex is used
  27
  28 % increase link area for cross-references and autoname them,
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  36  \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}}
  37
  38 % wird benutzt, um Tabellenzellen zu vergrosern
  39 \@ifundefined{extrarowheight}
  40  {\usepackage{array}}{}
  41 \setlength{\extrarowheight}{5pt}
  42 \end_preamble
  43 \use_default_options true
  44 \maintain_unincluded_children false
  45 \language japanese
  46 \language_package default
  47 \inputencoding auto
  48 \fontencoding global
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  64 \bibtex_command default
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  66 \paperfontsize 12
  67 \spacing single
  68 \use_hyperref true
  69 \pdf_title "Feynman Diagrams"
  70 \pdf_author "LyX Team, Uwe Stohr, Ronen Abravanel"
  71 \pdf_bookmarks true
  72 \pdf_bookmarksnumbered false
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  81 \papersize a4paper
  82 \use_geometry false
  83 \use_package amsmath 1
  84 \use_package amssymb 1
  85 \use_package cancel 0
  86 \use_package esint 1
  87 \use_package mathdots 1
  88 \use_package mathtools 0
  89 \use_package mhchem 1
  90 \use_package stackrel 0
  91 \use_package stmaryrd 0
  92 \use_package undertilde 0
  93 \cite_engine basic
  94 \cite_engine_type default
  95 \biblio_style plain
  96 \use_bibtopic false
  97 \use_indices false
  98 \paperorientation portrait
  99 \suppress_date false
 100 \justification true
 101 \use_refstyle 0
 102 \index Index
 103 \shortcut idx
 104 \color #008000
 105 \end_index
 106 \secnumdepth 3
 107 \tocdepth 3
 108 \paragraph_separation skip
 109 \defskip medskip
 110 \is_math_indent 0
 111 \quotes_style english
 112 \papercolumns 1
 113 \papersides 1
 114 \paperpagestyle default
 115 \tracking_changes false
 116 \output_changes false
 117 \html_math_output 0
 118 \html_css_as_file 0
 119 \html_be_strict false
 120 \end_header
 121
 122 \begin_body
 123
 124 \begin_layout Title
 125 ファインマン図
 126 \end_layout
 127
 128 \begin_layout Standard
 129 ファインマン図（
 130 \noun on
 131 Feynman
 132 \noun default
 133  diagram）を利用するためには、\SpecialChar LaTeX
 134 パッケージ
 135 \series bold
 136 feyn
 137 \series default
 138 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
 139 \series bold
 140
 141 \backslash
 142 Diagram
 143 \series default
 144 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。
 145 \end_layout
 146
 147 \begin_layout Standard
 148 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。
 149 \end_layout
 150
 151 \begin_layout Standard
 152 \align center
 153 \begin_inset Tabular
 154 <lyxtabular version="3" rows="7" columns="4">
 155 <features booktabs="true" tabularvalignment="middle">
 156 <column alignment="center" valignment="middle" width="28col%">
 157 <column alignment="center" valignment="middle" width="20col%">
 158 <column alignment="center" valignment="middle" width="25col%">
 159 <column alignment="center" valignment="middle" width="20col%">
 160 <row>
 161 <cell alignment="center" valignment="top" topline="true" usebox="none">
 162 \begin_inset Text
 163
 164 \begin_layout Plain Layout
 165 コマンド
 166 \end_layout
 167
 168 \end_inset
 169 </cell>
 170 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 171 \begin_inset Text
 172
 173 \begin_layout Plain Layout
 174 説明
 175 \end_layout
 176
 177 \end_inset
 178 </cell>
 179 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 180 \begin_inset Text
 181
 182 \begin_layout Plain Layout
 183 例
 184 \end_layout
 185
 186 \end_inset
 187 </cell>
 188 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 189 \begin_inset Text
 190
 191 \begin_layout Plain Layout
 192 出力
 193 \end_layout
 194
 195 \end_inset
 196 </cell>
 197 </row>
 198 <row>
 199 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 200 \begin_inset Text
 201
 202 \begin_layout Plain Layout
 203 f,g,h
 204 \end_layout
 205
 206 \end_inset
 207 </cell>
 208 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 209 \begin_inset Text
 210
 211 \begin_layout Plain Layout
 212 \noindent
 213 \align left
 214 フェルミ粒子・光子・ ゴースト伝搬関数
 215 \end_layout
 216
 217 \end_inset
 218 </cell>
 219 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 220 \begin_inset Text
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 251 \begin_layout Plain Layout
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 262
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 268 \begin_inset Text
 269
 270 \begin_layout Plain Layout
 271 \begin_inset Formula $\Diagram{f & g & h}
 272 $
 273 \end_inset
 274
 275
 276 \end_layout
 277
 278 \end_inset
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 280 </row>
 281 <row>
 282 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 283 \begin_inset Text
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 292 \begin_inset Text
 293
 294 \begin_layout Plain Layout
 295 \noindent
 296 \align left
 297 上向き・下向き・垂直のフェルミ粒子・光子
 298 \end_layout
 299
 300 \end_inset
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 302 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 303 \begin_inset Text
 304
 305 \begin_layout Plain Layout
 306 \begin_inset Tabular
 307 <lyxtabular version="3" rows="2" columns="3">
 308 <features tabularvalignment="middle">
 309 <column alignment="center" valignment="top">
 310 <column alignment="center" valignment="top">
 311 <column alignment="center" valignment="middle">
 312 <row>
 313 <cell alignment="center" valignment="top" usebox="none">
 314 \begin_inset Text
 315
 316 \begin_layout Plain Layout
 317 fd
 318 \end_layout
 319
 320 \end_inset
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 322 <cell alignment="center" valignment="top" leftline="true" usebox="none">
 323 \begin_inset Text
 324
 325 \begin_layout Plain Layout
 326
 327 \end_layout
 328
 329 \end_inset
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 331 <cell alignment="center" valignment="top" leftline="true" usebox="none">
 332 \begin_inset Text
 333
 334 \begin_layout Plain Layout
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 336 \end_layout
 337
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 342 <cell alignment="center" valignment="top" topline="true" usebox="none">
 343 \begin_inset Text
 344
 345 \begin_layout Plain Layout
 346
 347 \end_layout
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 352 \begin_inset Text
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 361 \begin_inset Text
 362
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 365 \end_layout
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 371
 372 \end_inset
 373
 374
 375 \end_layout
 376
 377 \end_inset
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 379 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 380 \begin_inset Text
 381
 382 \begin_layout Plain Layout
 383 \begin_inset Formula $\Diagram{fd &  & gu\\
 384  & fv
 385 }
 386 $
 387 \end_inset
 388
 389
 390 \end_layout
 391
 392 \end_inset
 393 </cell>
 394 </row>
 395 <row>
 396 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 397 \begin_inset Text
 398
 399 \begin_layout Plain Layout
 400 fA,fV
 401 \end_layout
 402
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 405 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 406 \begin_inset Text
 407
 408 \begin_layout Plain Layout
 409 \noindent
 410 \align left
 411 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
 412 \end_layout
 413
 414 \end_inset
 415 </cell>
 416 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 417 \begin_inset Text
 418
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 421 <lyxtabular version="3" rows="2" columns="3">
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 424 <column alignment="center" valignment="top">
 425 <column alignment="center" valignment="middle">
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 428 \begin_inset Text
 429
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 437 \begin_inset Text
 438
 439 \begin_layout Plain Layout
 440
 441 \end_layout
 442
 443 \end_inset
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 446 \begin_inset Text
 447
 448 \begin_layout Plain Layout
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 457 \begin_inset Text
 458
 459 \begin_layout Plain Layout
 460
 461 \end_layout
 462
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 466 \begin_inset Text
 467
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 469 gvV
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 474 <cell alignment="center" valignment="top" usebox="none">
 475 \begin_inset Text
 476
 477 \begin_layout Plain Layout
 478
 479 \end_layout
 480
 481 \end_inset
 482 </cell>
 483 </row>
 484 </lyxtabular>
 485
 486 \end_inset
 487
 488
 489 \end_layout
 490
 491 \end_inset
 492 </cell>
 493 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 494 \begin_inset Text
 495
 496 \begin_layout Plain Layout
 497 \begin_inset Formula $\Diagram{fdA &  & fuV\\
 498  & gvV
 499 }
 500 $
 501 \end_inset
 502
 503
 504 \end_layout
 505
 506 \end_inset
 507 </cell>
 508 </row>
 509 <row>
 510 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 511 \begin_inset Text
 512
 513 \begin_layout Plain Layout
 514 fl,glB,glS,fl1,gl2など
 515 \end_layout
 516
 517 \end_inset
 518 </cell>
 519 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 520 \begin_inset Text
 521
 522 \begin_layout Plain Layout
 523 \noindent
 524 \align left
 525 フェルミ粒子ループ・光子ループ
 526 \end_layout
 527
 528 \end_inset
 529 </cell>
 530 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 531 \begin_inset Text
 532
 533 \begin_layout Plain Layout
 534 \begin_inset Tabular
 535 <lyxtabular version="3" rows="2" columns="3">
 536 <features tabularvalignment="middle">
 537 <column alignment="center" valignment="top">
 538 <column alignment="center" valignment="top">
 539 <column alignment="center" valignment="middle">
 540 <row>
 541 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
 542 \begin_inset Text
 543
 544 \begin_layout Plain Layout
 545 f
 546 \end_layout
 547
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 550 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
 551 \begin_inset Text
 552
 553 \begin_layout Plain Layout
 554 gl
 555 \end_layout
 556
 557 \end_inset
 558 </cell>
 559 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
 560 \begin_inset Text
 561
 562 \begin_layout Plain Layout
 563
 564 \end_layout
 565
 566 \end_inset
 567 </cell>
 568 </row>
 569 <row>
 570 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 571 \begin_inset Text
 572
 573 \begin_layout Plain Layout
 574
 575 \end_layout
 576
 577 \end_inset
 578 </cell>
 579 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 580 \begin_inset Text
 581
 582 \begin_layout Plain Layout
 583 f
 584 \end_layout
 585
 586 \end_inset
 587 </cell>
 588 <cell alignment="center" valignment="top" usebox="none">
 589 \begin_inset Text
 590
 591 \begin_layout Plain Layout
 592 f
 593 \end_layout
 594
 595 \end_inset
 596 </cell>
 597 </row>
 598 </lyxtabular>
 599
 600 \end_inset
 601
 602
 603 \end_layout
 604
 605 \end_inset
 606 </cell>
 607 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 608 \begin_inset Text
 609
 610 \begin_layout Plain Layout
 611 \begin_inset Formula $\Diagram{f & gl\\
 612  & f & f
 613 }
 614 $
 615 \end_inset
 616
 617
 618 \end_layout
 619
 620 \end_inset
 621 </cell>
 622 </row>
 623 <row>
 624 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 625 \begin_inset Text
 626
 627 \begin_layout Plain Layout
 628
 629 \backslash
 630 momentum{ch}{文字列}
 631 \end_layout
 632
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 634 </cell>
 635 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 636 \begin_inset Text
 637
 638 \begin_layout Plain Layout
 639 \noindent
 640 \align left
 641 分子運動量の指定
 642 \end_layout
 643
 644 \end_inset
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 646 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 647 \begin_inset Text
 648
 649 \begin_layout Plain Layout
 650 \begin_inset Formula $\backslash\mathrm{momentum}\{fA\}\{\vec{p\}}$
 651 \end_inset
 652
 653
 654 \end_layout
 655
 656 \end_inset
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 658 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 659 \begin_inset Text
 660
 661 \begin_layout Plain Layout
 662 \begin_inset Formula $\Diagram{\momentum{fA}{\vec{p}}}
 663 $
 664 \end_inset
 665
 666
 667 \end_layout
 668
 669 \end_inset
 670 </cell>
 671 </row>
 672 <row>
 673 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 674 \begin_inset Text
 675
 676 \begin_layout Plain Layout
 677
 678 \backslash
 679 vertexlabel{p}{文字列}
 680 \end_layout
 681
 682 \end_inset
 683 </cell>
 684 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 685 \begin_inset Text
 686
 687 \begin_layout Plain Layout
 688 \noindent
 689 \align left
 690 頂点ラベル（vertex label）。頂点の上にラベルを付けるときは
 691 \emph on
 692 p
 693 \emph default
 694 は^、下に付けるときは_
 695 \end_layout
 696
 697 \end_inset
 698 </cell>
 699 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 700 \begin_inset Text
 701
 702 \begin_layout Plain Layout
 703 \begin_inset Tabular
 704 <lyxtabular version="3" rows="2" columns="1">
 705 <features tabularvalignment="middle">
 706 <column alignment="center" valignment="top">
 707 <row>
 708 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
 709 \begin_inset Text
 710
 711 \begin_layout Plain Layout
 712 \begin_inset Formula $\backslash\mathrm{vertexlabel}^{e^{+}}fA$
 713 \end_inset
 714
 715
 716 \end_layout
 717
 718 \end_inset
 719 </cell>
 720 </row>
 721 <row>
 722 <cell alignment="center" valignment="top" usebox="none">
 723 \begin_inset Text
 724
 725 \begin_layout Plain Layout
 726 \begin_inset Formula $fglS\backslash\mathrm{vertexlabel}_{\gamma}$
 727 \end_inset
 728
 729
 730 \end_layout
 731
 732 \end_inset
 733 </cell>
 734 </row>
 735 </lyxtabular>
 736
 737 \end_inset
 738
 739
 740 \end_layout
 741
 742 \end_inset
 743 </cell>
 744 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 745 \begin_inset Text
 746
 747 \begin_layout Plain Layout
 748 \begin_inset Formula $\Diagram{\vertexlabel^{\mathrm{e^{+}}}fA\\
 749 fglS\vertexlabel_{\gamma}
 750 }
 751 $
 752 \end_inset
 753
 754
 755 \end_layout
 756
 757 \end_inset
 758 </cell>
 759 </row>
 760 </lyxtabular>
 761
 762 \end_inset
 763
 764
 765 \end_layout
 766
 767 \begin_layout Standard
 768 これらは、
 769 \series bold
 770 feyn
 771 \series default
 772 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
 773 \begin_inset CommandInset citation
 774 LatexCommand cite
 775 key "Feyn"
 776 literal "true"
 777
 778 \end_inset
 779
 780 にあります。
 781 \end_layout
 782
 783 \begin_layout Bibliography
 784 \begin_inset CommandInset bibitem
 785 LatexCommand bibitem
 786 key "Feyn"
 787 literal "true"
 788
 789 \end_inset
 790
 791 \SpecialChar LaTeX
 792 パッケージ
 793 \series bold
 794 feyn
 795 \series default
 796 の
 797 \begin_inset CommandInset href
 798 LatexCommand href
 799 name "取扱説明書"
 800 target "http://mirror.ctan.org/fonts/feyn/feyn.pdf"
 801 literal "false"
 802
 803 \end_inset
 804
 805
 806 \end_layout
 807
 808 \end_body
 809 \end_document