lib/examples/de/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/de/
   7 \textclass scrartcl
   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
  19 \usepackage{ifpdf}
  20 \ifpdf
  21
  22 % set fonts for nicer pdf view
  23 \IfFileExists{lmodern.sty}
  24  {\usepackage{lmodern}}{}
  25
  26 \fi % end if pdflatex is used
  27
  28 % used to have extra space in table cells
  29 \@ifundefined{extrarowheight}
  30  {\usepackage{array}}{}
  31 \setlength{\extrarowheight}{5pt}
  32 \end_preamble
  33 \use_default_options true
  34 \maintain_unincluded_children false
  35 \language ngerman
  36 \language_package default
  37 \inputencoding auto
  38 \fontencoding global
  39 \font_roman "default" "default"
  40 \font_sans "default" "default"
  41 \font_typewriter "default" "default"
  42 \font_math "auto" "auto"
  43 \font_default_family default
  44 \use_non_tex_fonts false
  45 \font_sc false
  46 \font_osf false
  47 \font_sf_scale 100 100
  48 \font_tt_scale 100 100
  49 \use_microtype false
  50 \use_dash_ligatures false
  51 \graphics default
  52 \default_output_format default
  53 \output_sync 0
  54 \bibtex_command default
  55 \index_command default
  56 \paperfontsize 12
  57 \spacing single
  58 \use_hyperref true
  59 \pdf_title "Feynman Diagrams"
  60 \pdf_author "LyX Team, Uwe Stöhr, Ronen Abravanel"
  61 \pdf_bookmarks false
  62 \pdf_bookmarksnumbered false
  63 \pdf_bookmarksopen false
  64 \pdf_bookmarksopenlevel 1
  65 \pdf_breaklinks false
  66 \pdf_pdfborder true
  67 \pdf_colorlinks false
  68 \pdf_backref false
  69 \pdf_pdfusetitle false
  70 \pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false"
  71 \papersize default
  72 \use_geometry false
  73 \use_package amsmath 1
  74 \use_package amssymb 1
  75 \use_package cancel 0
  76 \use_package esint 1
  77 \use_package mathdots 1
  78 \use_package mathtools 0
  79 \use_package mhchem 1
  80 \use_package stackrel 0
  81 \use_package stmaryrd 0
  82 \use_package undertilde 0
  83 \cite_engine basic
  84 \cite_engine_type default
  85 \biblio_style plain
  86 \use_bibtopic false
  87 \use_indices false
  88 \paperorientation portrait
  89 \suppress_date true
  90 \justification true
  91 \use_refstyle 0
  92 \notefontcolor #0000ff
  93 \index Index
  94 \shortcut idx
  95 \color #008000
  96 \end_index
  97 \secnumdepth 3
  98 \tocdepth 3
  99 \paragraph_separation skip
 100 \defskip medskip
 101 \is_math_indent 0
 102 \quotes_style german
 103 \papercolumns 1
 104 \papersides 1
 105 \paperpagestyle default
 106 \tracking_changes false
 107 \output_changes false
 108 \html_math_output 0
 109 \html_css_as_file 0
 110 \html_be_strict false
 111 \end_header
 112
 113 \begin_body
 114
 115 \begin_layout Title
 116
 117 \noun on
 118 Feynman
 119 \noun default
 120 -Diagramme
 121 \end_layout
 122
 123 \begin_layout Standard
 124 \begin_inset Note Note
 125 status open
 126
 127 \begin_layout Plain Layout
 128 Autoren: Uwe Stöhr und Ronen Abravanel
 129 \end_layout
 130
 131 \end_inset
 132
 133
 134 \end_layout
 135
 136 \begin_layout Standard
 137 Um
 138 \noun on
 139 Feynman
 140 \noun default
 141 -Diagramme erstellen zu können, muss das \SpecialChar LaTeX
 142 -Paket
 143 \series bold
 144 feyn
 145 \series default
 146  installiert sein.
 147  Ein
 148 \noun on
 149 Feynman
 150 \noun default
 151 -Diagramm wird erzeugt, indem der Befehl
 152 \series bold
 153
 154 \backslash
 155 Diagram
 156 \series default
 157  in eine Formel eingegeben wird.
 158  Man kann anschließend neue Matrix-Spalten und Zeilen wie bei normalen Matrizen
 159  einfügen.
 160 \end_layout
 161
 162 \begin_layout Standard
 163 Als Matrix-Eintrag kann man Befehle eingeben, die als
 164 \begin_inset Quotes gld
 165 \end_inset
 166
 167 Partikel
 168 \begin_inset Quotes grd
 169 \end_inset
 170
 171  oder
 172 \begin_inset Quotes gld
 173 \end_inset
 174
 175 Propagatoren
 176 \begin_inset Quotes grd
 177 \end_inset
 178
 179  fungieren zum Beispiel:
 180 \end_layout
 181
 182 \begin_layout Standard
 183 \align center
 184 \begin_inset Tabular
 185 <lyxtabular version="3" rows="7" columns="4">
 186 <features booktabs="true" tabularvalignment="middle">
 187 <column alignment="center" valignment="middle" width="28col%">
 188 <column alignment="center" valignment="middle" width="20col%">
 189 <column alignment="center" valignment="middle" width="25col%">
 190 <column alignment="center" valignment="middle" width="20col%">
 191 <row>
 192 <cell alignment="center" valignment="top" topline="true" usebox="none">
 193 \begin_inset Text
 194
 195 \begin_layout Plain Layout
 196 Befehle
 197 \end_layout
 198
 199 \end_inset
 200 </cell>
 201 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 202 \begin_inset Text
 203
 204 \begin_layout Plain Layout
 205 Beschreibung
 206 \end_layout
 207
 208 \end_inset
 209 </cell>
 210 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 211 \begin_inset Text
 212
 213 \begin_layout Plain Layout
 214 Beispiel
 215 \end_layout
 216
 217 \end_inset
 218 </cell>
 219 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 220 \begin_inset Text
 221
 222 \begin_layout Plain Layout
 223 Ergebnis
 224 \end_layout
 225
 226 \end_inset
 227 </cell>
 228 </row>
 229 <row>
 230 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 231 \begin_inset Text
 232
 233 \begin_layout Plain Layout
 234 f,g,h
 235 \end_layout
 236
 237 \end_inset
 238 </cell>
 239 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 240 \begin_inset Text
 241
 242 \begin_layout Plain Layout
 243 \noindent
 244 \align left
 245 Fermion, Photon oder Ghost-Propagator
 246 \end_layout
 247
 248 \end_inset
 249 </cell>
 250 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 251 \begin_inset Text
 252
 253 \begin_layout Plain Layout
 254 \begin_inset Tabular
 255 <lyxtabular version="3" rows="1" columns="3">
 256 <features tabularvalignment="middle">
 257 <column alignment="center" valignment="top">
 258 <column alignment="center" valignment="top">
 259 <column alignment="center" valignment="top">
 260 <row>
 261 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 262 \begin_inset Text
 263
 264 \begin_layout Plain Layout
 265 f
 266 \end_layout
 267
 268 \end_inset
 269 </cell>
 270 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 271 \begin_inset Text
 272
 273 \begin_layout Plain Layout
 274 g
 275 \end_layout
 276
 277 \end_inset
 278 </cell>
 279 <cell alignment="center" valignment="top" usebox="none">
 280 \begin_inset Text
 281
 282 \begin_layout Plain Layout
 283 h
 284 \end_layout
 285
 286 \end_inset
 287 </cell>
 288 </row>
 289 </lyxtabular>
 290
 291 \end_inset
 292
 293
 294 \end_layout
 295
 296 \end_inset
 297 </cell>
 298 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 299 \begin_inset Text
 300
 301 \begin_layout Plain Layout
 302 \begin_inset Formula $\Diagram{f & g & h}
 303 $
 304 \end_inset
 305
 306
 307 \end_layout
 308
 309 \end_inset
 310 </cell>
 311 </row>
 312 <row>
 313 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 314 \begin_inset Text
 315
 316 \begin_layout Plain Layout
 317 fu,fd,fv (gu,gd,gv)
 318 \end_layout
 319
 320 \end_inset
 321 </cell>
 322 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 323 \begin_inset Text
 324
 325 \begin_layout Plain Layout
 326 \noindent
 327 \align left
 328 Fermion/Photon, nach oben/unten/vertikal
 329 \end_layout
 330
 331 \end_inset
 332 </cell>
 333 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 334 \begin_inset Text
 335
 336 \begin_layout Plain Layout
 337 \begin_inset Tabular
 338 <lyxtabular version="3" rows="2" columns="3">
 339 <features tabularvalignment="middle">
 340 <column alignment="center" valignment="top">
 341 <column alignment="center" valignment="top">
 342 <column alignment="center" valignment="middle">
 343 <row>
 344 <cell alignment="center" valignment="top" usebox="none">
 345 \begin_inset Text
 346
 347 \begin_layout Plain Layout
 348 fd
 349 \end_layout
 350
 351 \end_inset
 352 </cell>
 353 <cell alignment="center" valignment="top" leftline="true" usebox="none">
 354 \begin_inset Text
 355
 356 \begin_layout Plain Layout
 357
 358 \end_layout
 359
 360 \end_inset
 361 </cell>
 362 <cell alignment="center" valignment="top" leftline="true" usebox="none">
 363 \begin_inset Text
 364
 365 \begin_layout Plain Layout
 366 gu
 367 \end_layout
 368
 369 \end_inset
 370 </cell>
 371 </row>
 372 <row>
 373 <cell alignment="center" valignment="top" topline="true" usebox="none">
 374 \begin_inset Text
 375
 376 \begin_layout Plain Layout
 377
 378 \end_layout
 379
 380 \end_inset
 381 </cell>
 382 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 383 \begin_inset Text
 384
 385 \begin_layout Plain Layout
 386 fv
 387 \end_layout
 388
 389 \end_inset
 390 </cell>
 391 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 392 \begin_inset Text
 393
 394 \begin_layout Plain Layout
 395
 396 \end_layout
 397
 398 \end_inset
 399 </cell>
 400 </row>
 401 </lyxtabular>
 402
 403 \end_inset
 404
 405
 406 \end_layout
 407
 408 \end_inset
 409 </cell>
 410 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 411 \begin_inset Text
 412
 413 \begin_layout Plain Layout
 414 \begin_inset Formula $\Diagram{fd &  & gu\\
 415  & fv
 416 }
 417 $
 418 \end_inset
 419
 420
 421 \end_layout
 422
 423 \end_inset
 424 </cell>
 425 </row>
 426 <row>
 427 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 428 \begin_inset Text
 429
 430 \begin_layout Plain Layout
 431 fA,fV
 432 \end_layout
 433
 434 \end_inset
 435 </cell>
 436 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 437 \begin_inset Text
 438
 439 \begin_layout Plain Layout
 440 \noindent
 441 \align left
 442 A und V sind Modifikatoren um einen Pfeil nach links/oben oder rechts/unten
 443  zu zeichnen
 444 \end_layout
 445
 446 \end_inset
 447 </cell>
 448 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 449 \begin_inset Text
 450
 451 \begin_layout Plain Layout
 452 \begin_inset Tabular
 453 <lyxtabular version="3" rows="2" columns="3">
 454 <features tabularvalignment="middle">
 455 <column alignment="center" valignment="top">
 456 <column alignment="center" valignment="top">
 457 <column alignment="center" valignment="middle">
 458 <row>
 459 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
 460 \begin_inset Text
 461
 462 \begin_layout Plain Layout
 463 fdA
 464 \end_layout
 465
 466 \end_inset
 467 </cell>
 468 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
 469 \begin_inset Text
 470
 471 \begin_layout Plain Layout
 472
 473 \end_layout
 474
 475 \end_inset
 476 </cell>
 477 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
 478 \begin_inset Text
 479
 480 \begin_layout Plain Layout
 481 fuV
 482 \end_layout
 483
 484 \end_inset
 485 </cell>
 486 </row>
 487 <row>
 488 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 489 \begin_inset Text
 490
 491 \begin_layout Plain Layout
 492
 493 \end_layout
 494
 495 \end_inset
 496 </cell>
 497 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 498 \begin_inset Text
 499
 500 \begin_layout Plain Layout
 501 gvV
 502 \end_layout
 503
 504 \end_inset
 505 </cell>
 506 <cell alignment="center" valignment="top" usebox="none">
 507 \begin_inset Text
 508
 509 \begin_layout Plain Layout
 510
 511 \end_layout
 512
 513 \end_inset
 514 </cell>
 515 </row>
 516 </lyxtabular>
 517
 518 \end_inset
 519
 520
 521 \end_layout
 522
 523 \end_inset
 524 </cell>
 525 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 526 \begin_inset Text
 527
 528 \begin_layout Plain Layout
 529 \begin_inset Formula $\Diagram{fdA &  & fuV\\
 530  & gvV
 531 }
 532 $
 533 \end_inset
 534
 535
 536 \end_layout
 537
 538 \end_inset
 539 </cell>
 540 </row>
 541 <row>
 542 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 543 \begin_inset Text
 544
 545 \begin_layout Plain Layout
 546 fl,glB,glS,fl1,gl2, etc.
 547 \end_layout
 548
 549 \end_inset
 550 </cell>
 551 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 552 \begin_inset Text
 553
 554 \begin_layout Plain Layout
 555 \noindent
 556 \align left
 557 Fermion/Photon-Schleife
 558 \end_layout
 559
 560 \end_inset
 561 </cell>
 562 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 563 \begin_inset Text
 564
 565 \begin_layout Plain Layout
 566 \begin_inset Tabular
 567 <lyxtabular version="3" rows="2" columns="3">
 568 <features tabularvalignment="middle">
 569 <column alignment="center" valignment="top">
 570 <column alignment="center" valignment="top">
 571 <column alignment="center" valignment="middle">
 572 <row>
 573 <cell alignment="center" valignment="top" bottomline="true" 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" bottomline="true" rightline="true" usebox="none">
 583 \begin_inset Text
 584
 585 \begin_layout Plain Layout
 586 gl
 587 \end_layout
 588
 589 \end_inset
 590 </cell>
 591 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
 592 \begin_inset Text
 593
 594 \begin_layout Plain Layout
 595
 596 \end_layout
 597
 598 \end_inset
 599 </cell>
 600 </row>
 601 <row>
 602 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 603 \begin_inset Text
 604
 605 \begin_layout Plain Layout
 606
 607 \end_layout
 608
 609 \end_inset
 610 </cell>
 611 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 612 \begin_inset Text
 613
 614 \begin_layout Plain Layout
 615 f
 616 \end_layout
 617
 618 \end_inset
 619 </cell>
 620 <cell alignment="center" valignment="top" usebox="none">
 621 \begin_inset Text
 622
 623 \begin_layout Plain Layout
 624 f
 625 \end_layout
 626
 627 \end_inset
 628 </cell>
 629 </row>
 630 </lyxtabular>
 631
 632 \end_inset
 633
 634
 635 \end_layout
 636
 637 \end_inset
 638 </cell>
 639 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 640 \begin_inset Text
 641
 642 \begin_layout Plain Layout
 643 \begin_inset Formula $\Diagram{f & gl\\
 644  & f & f
 645 }
 646 $
 647 \end_inset
 648
 649
 650 \end_layout
 651
 652 \end_inset
 653 </cell>
 654 </row>
 655 <row>
 656 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 657 \begin_inset Text
 658
 659 \begin_layout Plain Layout
 660
 661 \backslash
 662 momentum{ch}{Text}
 663 \end_layout
 664
 665 \end_inset
 666 </cell>
 667 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 668 \begin_inset Text
 669
 670 \begin_layout Plain Layout
 671 \noindent
 672 \align left
 673 Teilchenimpuls-Angabe
 674 \end_layout
 675
 676 \end_inset
 677 </cell>
 678 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 679 \begin_inset Text
 680
 681 \begin_layout Plain Layout
 682 \begin_inset Formula $\backslash\mathrm{momentum}\{fA\}\{\vec{p\}}$
 683 \end_inset
 684
 685
 686 \end_layout
 687
 688 \end_inset
 689 </cell>
 690 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 691 \begin_inset Text
 692
 693 \begin_layout Plain Layout
 694 \begin_inset Formula $\Diagram{\momentum{fA}{\vec{p}}}
 695 $
 696 \end_inset
 697
 698
 699 \end_layout
 700
 701 \end_inset
 702 </cell>
 703 </row>
 704 <row>
 705 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 706 \begin_inset Text
 707
 708 \begin_layout Plain Layout
 709
 710 \backslash
 711 vertexlabel{p}{Text}
 712 \end_layout
 713
 714 \end_inset
 715 </cell>
 716 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 717 \begin_inset Text
 718
 719 \begin_layout Plain Layout
 720 \noindent
 721 \align left
 722 das Vertex-Label
 723 \emph on
 724 p
 725 \emph default
 726  ist entweder '^' oder '_' um über oder unter dem Vertex zu beschriften
 727 \end_layout
 728
 729 \end_inset
 730 </cell>
 731 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 732 \begin_inset Text
 733
 734 \begin_layout Plain Layout
 735 \begin_inset Tabular
 736 <lyxtabular version="3" rows="2" columns="1">
 737 <features tabularvalignment="middle">
 738 <column alignment="center" valignment="top">
 739 <row>
 740 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
 741 \begin_inset Text
 742
 743 \begin_layout Plain Layout
 744 \begin_inset Formula $\backslash\mathrm{vertexlabel}^{e^{+}}fA$
 745 \end_inset
 746
 747
 748 \end_layout
 749
 750 \end_inset
 751 </cell>
 752 </row>
 753 <row>
 754 <cell alignment="center" valignment="top" usebox="none">
 755 \begin_inset Text
 756
 757 \begin_layout Plain Layout
 758 \begin_inset Formula $fglS\backslash\mathrm{vertexlabel}_{\gamma}$
 759 \end_inset
 760
 761
 762 \end_layout
 763
 764 \end_inset
 765 </cell>
 766 </row>
 767 </lyxtabular>
 768
 769 \end_inset
 770
 771
 772 \end_layout
 773
 774 \end_inset
 775 </cell>
 776 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 777 \begin_inset Text
 778
 779 \begin_layout Plain Layout
 780 \begin_inset Formula $\Diagram{\vertexlabel^{\mathrm{e^{+}}}fA\\
 781 fglS\vertexlabel_{\gamma}
 782 }
 783 $
 784 \end_inset
 785
 786
 787 \end_layout
 788
 789 \end_inset
 790 </cell>
 791 </row>
 792 </lyxtabular>
 793
 794 \end_inset
 795
 796
 797 \end_layout
 798
 799 \begin_layout Standard
 800 Dies sind nur einige der Features des Pakets
 801 \series bold
 802 feyn
 803 \series default
 804 , dessen Handbuch in
 805 \begin_inset CommandInset citation
 806 LatexCommand cite
 807 key "Feyn"
 808 literal "true"
 809
 810 \end_inset
 811
 812  zu finden ist.
 813 \end_layout
 814
 815 \begin_layout Standard
 816 \begin_inset Note Greyedout
 817 status open
 818
 819 \begin_layout Plain Layout
 820
 821 \series bold
 822 Achtung:
 823 \series default
 824  Wenn Ihr Dokument ein Stichwortverzeichnis hat und eine der AMS Theorem-Module
 825  verwendet wird, muss die Option
 826 \series bold
 827 noglobalbang
 828 \series default
 829  zu den Dokumentklassenoptionen in den Dokument-Einstellungen hinzugefügt
 830  werden.
 831  Dies ermöglicht die Verwendung des Zeichens '!' in Stichworten (wird für
 832  Untereinträge benötigt), kann aber zu Problemen mit den Align-Umgebungen
 833  führen (die im Abschnitt
 834 \begin_inset Quotes gld
 835 \end_inset
 836
 837 Align-Umgebungen
 838 \begin_inset Quotes grd
 839 \end_inset
 840
 841  in \SpecialChar LyX
 842 s Mathe-Handbuch beschrieben sind).
 843 \end_layout
 844
 845 \end_inset
 846
 847
 848 \end_layout
 849
 850 \begin_layout Bibliography
 851 \begin_inset CommandInset bibitem
 852 LatexCommand bibitem
 853 key "Feyn"
 854 literal "true"
 855
 856 \end_inset
 857
 858
 859 \begin_inset CommandInset href
 860 LatexCommand href
 861 name "Dokumentation"
 862 target "http://mirror.ctan.org/fonts/feyn/feyn.pdf"
 863 literal "false"
 864
 865 \end_inset
 866
 867  des \SpecialChar LaTeX
 868 -Pakets
 869 \series bold
 870 feyn
 871 \end_layout
 872
 873 \end_body
 874 \end_document