lib/examples/FeynmanDiagrams.lyx

   1 #LyX 2.2 created this file. For more info see http://www.lyx.org/
   2 \lyxformat 503
   3 \begin_document
   4 \begin_header
   5 \origin /systemlyxdir/examples/
   6 \textclass scrartcl
   7 \begin_preamble
   8 % DO NOT ALTER THIS PREAMBLE!!!
   9 %
  10 % This preamble is designed to ensure that the file prints
  11 % out as advertised. If you mess with this preamble,
  12 % parts of this document may not print out as expected.  If you
  13 % have problems LaTeXing this file, please contact
  14 % the documentation team
  15 % email: lyx-docs@lists.lyx.org
  16
  17 % if pdflatex is used
  18 \usepackage{ifpdf}
  19 \ifpdf
  20
  21 % set fonts for nicer pdf view
  22 \IfFileExists{lmodern.sty}
  23  {\usepackage{lmodern}}{}
  24
  25 \fi % end if pdflatex is used
  26
  27 % used to have extra space in table cells
  28 \@ifundefined{extrarowheight}
  29  {\usepackage{array}}{}
  30 \setlength{\extrarowheight}{5pt}
  31 \end_preamble
  32 \use_default_options true
  33 \maintain_unincluded_children false
  34 \language english
  35 \language_package default
  36 \inputencoding auto
  37 \fontencoding global
  38 \font_roman "default" "default"
  39 \font_sans "default" "default"
  40 \font_typewriter "default" "default"
  41 \font_math "auto" "auto"
  42 \font_default_family default
  43 \use_non_tex_fonts false
  44 \font_sc false
  45 \font_osf false
  46 \font_sf_scale 100 100
  47 \font_tt_scale 100 100
  48 \graphics default
  49 \default_output_format default
  50 \output_sync 0
  51 \bibtex_command default
  52 \index_command default
  53 \paperfontsize 12
  54 \spacing single
  55 \use_hyperref true
  56 \pdf_title "Feynman Diagrams"
  57 \pdf_author "LyX Team, Uwe Stöhr, Ronen Abravanel"
  58 \pdf_bookmarks false
  59 \pdf_bookmarksnumbered false
  60 \pdf_bookmarksopen false
  61 \pdf_bookmarksopenlevel 1
  62 \pdf_breaklinks false
  63 \pdf_pdfborder true
  64 \pdf_colorlinks false
  65 \pdf_backref false
  66 \pdf_pdfusetitle false
  67 \pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false"
  68 \papersize default
  69 \use_geometry false
  70 \use_package amsmath 1
  71 \use_package amssymb 1
  72 \use_package cancel 0
  73 \use_package esint 1
  74 \use_package mathdots 1
  75 \use_package mathtools 0
  76 \use_package mhchem 1
  77 \use_package stackrel 0
  78 \use_package stmaryrd 0
  79 \use_package undertilde 0
  80 \cite_engine basic
  81 \cite_engine_type default
  82 \biblio_style plain
  83 \use_bibtopic false
  84 \use_indices false
  85 \paperorientation portrait
  86 \suppress_date true
  87 \justification true
  88 \use_refstyle 0
  89 \notefontcolor #0000ff
  90 \index Index
  91 \shortcut idx
  92 \color #008000
  93 \end_index
  94 \secnumdepth 3
  95 \tocdepth 3
  96 \paragraph_separation skip
  97 \defskip medskip
  98 \quotes_language english
  99 \papercolumns 1
 100 \papersides 1
 101 \paperpagestyle default
 102 \tracking_changes false
 103 \output_changes false
 104 \html_math_output 0
 105 \html_css_as_file 0
 106 \html_be_strict false
 107 \end_header
 108
 109 \begin_body
 110
 111 \begin_layout Title
 112 Feynman Diagrams
 113 \end_layout
 114
 115 \begin_layout Standard
 116 \begin_inset Note Note
 117 status open
 118
 119 \begin_layout Plain Layout
 120 authors: Uwe Stöhr and Ronen Abravanel
 121 \end_layout
 122
 123 \end_inset
 124
 125
 126 \end_layout
 127
 128 \begin_layout Standard
 129 To be able to create
 130 \noun on
 131 Feynman
 132 \noun default
 133  diagrams, the \SpecialCharNoPassThru LaTeX
 134 -package
 135 \series bold
 136 feyn
 137 \series default
 138  must be installed.
 139  A
 140 \noun on
 141 Feynman
 142 \noun default
 143  diagram is created by inserting the command
 144 \series bold
 145
 146 \backslash
 147 Diagram
 148 \series default
 149  in a formula.
 150  Then you are able to add new matrix columns and rows like a normal matrices.
 151
 152 \end_layout
 153
 154 \begin_layout Standard
 155 As matrix entry, one can enter commands that act as
 156 \begin_inset Quotes eld
 157 \end_inset
 158
 159 particles
 160 \begin_inset Quotes erd
 161 \end_inset
 162
 163  or
 164 \begin_inset Quotes eld
 165 \end_inset
 166
 167 propagators
 168 \begin_inset Quotes erd
 169 \end_inset
 170
 171 , for example:
 172 \begin_inset Separator parbreak
 173 \end_inset
 174
 175 \end_layout
 176
 177 \begin_layout Standard
 178 \align center
 179 \begin_inset Tabular
 180 <lyxtabular version="3" rows="7" columns="4">
 181 <features rotate="0" booktabs="true" tabularvalignment="middle">
 182 <column alignment="center" valignment="middle" width="28col%">
 183 <column alignment="center" valignment="middle" width="20col%">
 184 <column alignment="center" valignment="middle" width="25col%">
 185 <column alignment="center" valignment="middle" width="20col%">
 186 <row>
 187 <cell alignment="center" valignment="top" topline="true" usebox="none">
 188 \begin_inset Text
 189
 190 \begin_layout Plain Layout
 191 Commands
 192 \end_layout
 193
 194 \end_inset
 195 </cell>
 196 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 197 \begin_inset Text
 198
 199 \begin_layout Plain Layout
 200 Description
 201 \end_layout
 202
 203 \end_inset
 204 </cell>
 205 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 206 \begin_inset Text
 207
 208 \begin_layout Plain Layout
 209 Example
 210 \end_layout
 211
 212 \end_inset
 213 </cell>
 214 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 215 \begin_inset Text
 216
 217 \begin_layout Plain Layout
 218 Result
 219 \end_layout
 220
 221 \end_inset
 222 </cell>
 223 </row>
 224 <row>
 225 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 226 \begin_inset Text
 227
 228 \begin_layout Plain Layout
 229 f,g,h
 230 \end_layout
 231
 232 \end_inset
 233 </cell>
 234 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 235 \begin_inset Text
 236
 237 \begin_layout Plain Layout
 238 \noindent
 239 \align left
 240 fermion, photon or ghost propagator
 241 \end_layout
 242
 243 \end_inset
 244 </cell>
 245 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 246 \begin_inset Text
 247
 248 \begin_layout Plain Layout
 249 \begin_inset Tabular
 250 <lyxtabular version="3" rows="1" columns="3">
 251 <features rotate="0" tabularvalignment="middle">
 252 <column alignment="center" valignment="top">
 253 <column alignment="center" valignment="top">
 254 <column alignment="center" valignment="top">
 255 <row>
 256 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 257 \begin_inset Text
 258
 259 \begin_layout Plain Layout
 260 f
 261 \end_layout
 262
 263 \end_inset
 264 </cell>
 265 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 266 \begin_inset Text
 267
 268 \begin_layout Plain Layout
 269 g
 270 \end_layout
 271
 272 \end_inset
 273 </cell>
 274 <cell alignment="center" valignment="top" usebox="none">
 275 \begin_inset Text
 276
 277 \begin_layout Plain Layout
 278 h
 279 \end_layout
 280
 281 \end_inset
 282 </cell>
 283 </row>
 284 </lyxtabular>
 285
 286 \end_inset
 287
 288
 289 \end_layout
 290
 291 \end_inset
 292 </cell>
 293 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 294 \begin_inset Text
 295
 296 \begin_layout Plain Layout
 297 \begin_inset Formula $\Diagram{f & g & h}
 298 $
 299 \end_inset
 300
 301
 302 \end_layout
 303
 304 \end_inset
 305 </cell>
 306 </row>
 307 <row>
 308 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 309 \begin_inset Text
 310
 311 \begin_layout Plain Layout
 312 fu,fd,fv (gu,gd,gv)
 313 \end_layout
 314
 315 \end_inset
 316 </cell>
 317 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 318 \begin_inset Text
 319
 320 \begin_layout Plain Layout
 321 \noindent
 322 \align left
 323 fermion/photon, going up/down/vertical
 324 \end_layout
 325
 326 \end_inset
 327 </cell>
 328 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 329 \begin_inset Text
 330
 331 \begin_layout Plain Layout
 332 \begin_inset Tabular
 333 <lyxtabular version="3" rows="2" columns="3">
 334 <features rotate="0" tabularvalignment="middle">
 335 <column alignment="center" valignment="top">
 336 <column alignment="center" valignment="top">
 337 <column alignment="center" valignment="middle">
 338 <row>
 339 <cell alignment="center" valignment="top" usebox="none">
 340 \begin_inset Text
 341
 342 \begin_layout Plain Layout
 343 fd
 344 \end_layout
 345
 346 \end_inset
 347 </cell>
 348 <cell alignment="center" valignment="top" leftline="true" usebox="none">
 349 \begin_inset Text
 350
 351 \begin_layout Plain Layout
 352
 353 \end_layout
 354
 355 \end_inset
 356 </cell>
 357 <cell alignment="center" valignment="top" leftline="true" usebox="none">
 358 \begin_inset Text
 359
 360 \begin_layout Plain Layout
 361 gu
 362 \end_layout
 363
 364 \end_inset
 365 </cell>
 366 </row>
 367 <row>
 368 <cell alignment="center" valignment="top" topline="true" usebox="none">
 369 \begin_inset Text
 370
 371 \begin_layout Plain Layout
 372
 373 \end_layout
 374
 375 \end_inset
 376 </cell>
 377 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 378 \begin_inset Text
 379
 380 \begin_layout Plain Layout
 381 fv
 382 \end_layout
 383
 384 \end_inset
 385 </cell>
 386 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 387 \begin_inset Text
 388
 389 \begin_layout Plain Layout
 390
 391 \end_layout
 392
 393 \end_inset
 394 </cell>
 395 </row>
 396 </lyxtabular>
 397
 398 \end_inset
 399
 400
 401 \end_layout
 402
 403 \end_inset
 404 </cell>
 405 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 406 \begin_inset Text
 407
 408 \begin_layout Plain Layout
 409 \begin_inset Formula $\Diagram{fd &  & gu\\
 410  & fv
 411 }
 412 $
 413 \end_inset
 414
 415
 416 \end_layout
 417
 418 \end_inset
 419 </cell>
 420 </row>
 421 <row>
 422 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 423 \begin_inset Text
 424
 425 \begin_layout Plain Layout
 426 fA,fV
 427 \end_layout
 428
 429 \end_inset
 430 </cell>
 431 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 432 \begin_inset Text
 433
 434 \begin_layout Plain Layout
 435 \noindent
 436 \align left
 437 A and V are modifiers to produce arrow going left/up or right/down
 438 \end_layout
 439
 440 \end_inset
 441 </cell>
 442 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 443 \begin_inset Text
 444
 445 \begin_layout Plain Layout
 446 \begin_inset Tabular
 447 <lyxtabular version="3" rows="2" columns="3">
 448 <features rotate="0" tabularvalignment="middle">
 449 <column alignment="center" valignment="top">
 450 <column alignment="center" valignment="top">
 451 <column alignment="center" valignment="middle">
 452 <row>
 453 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
 454 \begin_inset Text
 455
 456 \begin_layout Plain Layout
 457 fdA
 458 \end_layout
 459
 460 \end_inset
 461 </cell>
 462 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
 463 \begin_inset Text
 464
 465 \begin_layout Plain Layout
 466
 467 \end_layout
 468
 469 \end_inset
 470 </cell>
 471 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
 472 \begin_inset Text
 473
 474 \begin_layout Plain Layout
 475 fuV
 476 \end_layout
 477
 478 \end_inset
 479 </cell>
 480 </row>
 481 <row>
 482 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 483 \begin_inset Text
 484
 485 \begin_layout Plain Layout
 486
 487 \end_layout
 488
 489 \end_inset
 490 </cell>
 491 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 492 \begin_inset Text
 493
 494 \begin_layout Plain Layout
 495 gvV
 496 \end_layout
 497
 498 \end_inset
 499 </cell>
 500 <cell alignment="center" valignment="top" usebox="none">
 501 \begin_inset Text
 502
 503 \begin_layout Plain Layout
 504
 505 \end_layout
 506
 507 \end_inset
 508 </cell>
 509 </row>
 510 </lyxtabular>
 511
 512 \end_inset
 513
 514
 515 \end_layout
 516
 517 \end_inset
 518 </cell>
 519 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 520 \begin_inset Text
 521
 522 \begin_layout Plain Layout
 523 \begin_inset Formula $\Diagram{fdA &  & fuV\\
 524  & gvV
 525 }
 526 $
 527 \end_inset
 528
 529
 530 \end_layout
 531
 532 \end_inset
 533 </cell>
 534 </row>
 535 <row>
 536 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 537 \begin_inset Text
 538
 539 \begin_layout Plain Layout
 540 fl,glB,glS,fl1,gl2, etc.
 541 \end_layout
 542
 543 \end_inset
 544 </cell>
 545 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 546 \begin_inset Text
 547
 548 \begin_layout Plain Layout
 549 \noindent
 550 \align left
 551 fermions/photons loop
 552 \end_layout
 553
 554 \end_inset
 555 </cell>
 556 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 557 \begin_inset Text
 558
 559 \begin_layout Plain Layout
 560 \begin_inset Tabular
 561 <lyxtabular version="3" rows="2" columns="3">
 562 <features rotate="0" tabularvalignment="middle">
 563 <column alignment="center" valignment="top">
 564 <column alignment="center" valignment="top">
 565 <column alignment="center" valignment="middle">
 566 <row>
 567 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
 568 \begin_inset Text
 569
 570 \begin_layout Plain Layout
 571 f
 572 \end_layout
 573
 574 \end_inset
 575 </cell>
 576 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
 577 \begin_inset Text
 578
 579 \begin_layout Plain Layout
 580 gl
 581 \end_layout
 582
 583 \end_inset
 584 </cell>
 585 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
 586 \begin_inset Text
 587
 588 \begin_layout Plain Layout
 589
 590 \end_layout
 591
 592 \end_inset
 593 </cell>
 594 </row>
 595 <row>
 596 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 597 \begin_inset Text
 598
 599 \begin_layout Plain Layout
 600
 601 \end_layout
 602
 603 \end_inset
 604 </cell>
 605 <cell alignment="center" valignment="top" rightline="true" usebox="none">
 606 \begin_inset Text
 607
 608 \begin_layout Plain Layout
 609 f
 610 \end_layout
 611
 612 \end_inset
 613 </cell>
 614 <cell alignment="center" valignment="top" usebox="none">
 615 \begin_inset Text
 616
 617 \begin_layout Plain Layout
 618 f
 619 \end_layout
 620
 621 \end_inset
 622 </cell>
 623 </row>
 624 </lyxtabular>
 625
 626 \end_inset
 627
 628
 629 \end_layout
 630
 631 \end_inset
 632 </cell>
 633 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 634 \begin_inset Text
 635
 636 \begin_layout Plain Layout
 637 \begin_inset Formula $\Diagram{f & gl\\
 638  & f & f
 639 }
 640 $
 641 \end_inset
 642
 643
 644 \end_layout
 645
 646 \end_inset
 647 </cell>
 648 </row>
 649 <row>
 650 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 651 \begin_inset Text
 652
 653 \begin_layout Plain Layout
 654
 655 \backslash
 656 momentum{ch}{text}
 657 \end_layout
 658
 659 \end_inset
 660 </cell>
 661 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 662 \begin_inset Text
 663
 664 \begin_layout Plain Layout
 665 \noindent
 666 \align left
 667 particle-momentum specification
 668 \end_layout
 669
 670 \end_inset
 671 </cell>
 672 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 673 \begin_inset Text
 674
 675 \begin_layout Plain Layout
 676 \begin_inset Formula $\backslash{\rm momentum}\{fA\}\{\vec{p\}}$
 677 \end_inset
 678
 679
 680 \end_layout
 681
 682 \end_inset
 683 </cell>
 684 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
 685 \begin_inset Text
 686
 687 \begin_layout Plain Layout
 688 \begin_inset Formula $\Diagram{\momentum{fA}{\vec{p}}}
 689 $
 690 \end_inset
 691
 692
 693 \end_layout
 694
 695 \end_inset
 696 </cell>
 697 </row>
 698 <row>
 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
 704 \backslash
 705 vertexlabel{p}{text}
 706 \end_layout
 707
 708 \end_inset
 709 </cell>
 710 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 711 \begin_inset Text
 712
 713 \begin_layout Plain Layout
 714 \noindent
 715 \align left
 716 the vertex label
 717 \emph on
 718 p
 719 \emph default
 720  is either '^' or '_' for labeling above or below the vertex
 721 \end_layout
 722
 723 \end_inset
 724 </cell>
 725 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 726 \begin_inset Text
 727
 728 \begin_layout Plain Layout
 729 \begin_inset Tabular
 730 <lyxtabular version="3" rows="2" columns="1">
 731 <features rotate="0" tabularvalignment="middle">
 732 <column alignment="center" valignment="top">
 733 <row>
 734 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
 735 \begin_inset Text
 736
 737 \begin_layout Plain Layout
 738 \begin_inset Formula $\backslash{\rm vertexlabel}^{e^{+}}fA$
 739 \end_inset
 740
 741
 742 \end_layout
 743
 744 \end_inset
 745 </cell>
 746 </row>
 747 <row>
 748 <cell alignment="center" valignment="top" usebox="none">
 749 \begin_inset Text
 750
 751 \begin_layout Plain Layout
 752 \begin_inset Formula $fglS\backslash{\rm vertexlabel}_{\gamma}$
 753 \end_inset
 754
 755
 756 \end_layout
 757
 758 \end_inset
 759 </cell>
 760 </row>
 761 </lyxtabular>
 762
 763 \end_inset
 764
 765
 766 \end_layout
 767
 768 \end_inset
 769 </cell>
 770 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
 771 \begin_inset Text
 772
 773 \begin_layout Plain Layout
 774 \begin_inset Formula $\Diagram{\vertexlabel^{{\rm e^{+}}}fA\\
 775 fglS\vertexlabel_{\gamma}
 776 }
 777 $
 778 \end_inset
 779
 780
 781 \end_layout
 782
 783 \end_inset
 784 </cell>
 785 </row>
 786 </lyxtabular>
 787
 788 \end_inset
 789
 790
 791 \end_layout
 792
 793 \begin_layout Standard
 794 These are just some of the features of thepackage
 795 \series bold
 796 feyn
 797 \series default
 798  whose user manual can be found in
 799 \begin_inset CommandInset citation
 800 LatexCommand cite
 801 key "Feyn"
 802
 803 \end_inset
 804
 805 .
 806 \end_layout
 807
 808 \begin_layout Standard
 809 \begin_inset Note Greyedout
 810 status open
 811
 812 \begin_layout Plain Layout
 813
 814 \series bold
 815 Note:
 816 \series default
 817  If you have an index list in your document and use one of the AMS theorem
 818  modules, you have to add the option
 819 \series bold
 820 noglobalbang
 821 \series default
 822  to the document class options in the document settings.
 823  This enables the usage of the '!' character in index entries (necessary
 824  for subentries) but might cause troubles with the align environments (which
 825  are described in section
 826 \begin_inset Quotes eld
 827 \end_inset
 828
 829 Align Environments
 830 \begin_inset Quotes erd
 831 \end_inset
 832
 833  of \SpecialCharNoPassThru LyX
 834 's Math manual).
 835 \end_layout
 836
 837 \end_inset
 838
 839
 840 \end_layout
 841
 842 \begin_layout Bibliography
 843 \begin_inset CommandInset bibitem
 844 LatexCommand bibitem
 845 key "Feyn"
 846
 847 \end_inset
 848
 849
 850 \begin_inset CommandInset href
 851 LatexCommand href
 852 name "Documentation"
 853 target "http://mirror.ctan.org/fonts/feyn/feyn.pdf"
 854
 855 \end_inset
 856
 857  of the \SpecialCharNoPassThru LaTeX
 858  package
 859 \series bold
 860 feyn
 861 \end_layout
 862
 863 \end_body
 864 \end_document