Knowledge

Talk:Minimal subtraction scheme

Source 📝

84: 74: 53: 22: 569:
It is indeed a toy case, and the suggestion that this should be made clear is a good one. Its value to the non-expert is precisely that, as a toy, it is an example giving a flavour of the scheme in terms of mathematical concepts at a level that could be understood by an undergraduate. Another
506:
you copied and pasted material from one article into another. The problem with this edit is that it is not relevant to the stub and the material is completely out of context in this article. You are unwittingly using the notation of Hopf algebras but don't seem to have a clue that you're doing
492: 538:
a small amount of material from a long, detailed and very expert article (largely written by Mathsci). The homomorphisms in question are indeed Hopf algebra homomorphisms but this is not relevant, and i
355: 510:
Why are you adding unsourced material and unexplained notation to an article? The normal way is to find the material in a book, e.g. Collins' Renormalization, paraphrase it and then cite it.
625: 513:
why did you paste material on renormalization in the toy case of rooted trees rather than the usual setting of Feynman diagrams? That was a very ill-advised error
140: 620: 130: 397: 83: 615: 593: 106: 97: 58: 33: 247: 181:
You don't have the slightest clue what you are writing and I suppose soon will receive a fairly lengthy block.
570:
reason for its selection is that this is, so far, the only example of an MSS currently present in Knowledge.
558:: detailed references welcome. The notation is entirely contained in the selected text, where the operator 21: 597: 39: 242: 105:
on Knowledge. If you would like to participate, please visit the project page, where you can join
582: 522: 171: 186: 205:
An example of the minimal subtraction scheme may be found in the formalism associated to the
577:
I trust that explains everything and that there is now consensus to restore the section.
601: 586: 526: 386: 218: 190: 175: 89: 609: 578: 555: 518: 206: 167: 163: 373: 182: 534:
Copy-and-paste is not in itself a bad thing. However. In this particular case I
543:
that phrase, since the renormalisation rule applies entirely to the image space
73: 52: 487:{\displaystyle \displaystyle R(\sum _{n}a_{n}z^{n})=\sum _{n<0}a_{n}z^{n}.} 385:
In this context the minimal subtraction scheme may be expressed as taking the
79: 162:
I have added what I believe to be a correct abstract of the material at
102: 517:
These are very reasonable questions which I propose to address here.
551:
the comment that renormalisation is the principal part operation.
201:
I attempted to add the following text as new section "Example":
15: 213:
are given by a homomorphism taking values in the algebra
500: 401: 400: 250: 101:, a collaborative effort to improve the coverage of 486: 349: 502:, of which I extract the relevant sections here: 350:{\displaystyle R(fg)+R(f)R(g)=R(fR(g))+R(R(f)g)} 626:Stub-Class physics articles of Low-importance 8: 47: 19: 499:User Mathsci objected on various grounds 474: 464: 448: 432: 422: 412: 399: 249: 49: 7: 95:This article is within the scope of 225:with poles of finite order and the 38:It is of interest to the following 14: 166:as an accessible "toy" example. 592:Yes there is nine months later. 82: 72: 51: 20: 621:Low-importance physics articles 197:Discussion of disputed material 135:This article has been rated as 438: 405: 344: 338: 332: 326: 317: 314: 308: 299: 290: 284: 278: 272: 263: 254: 229:is given by a linear operator 1: 602:01:18, 16 December 2009 (UTC) 115:Knowledge:WikiProject Physics 109:and see a list of open tasks. 554:It is adequately sourced in 118:Template:WikiProject Physics 616:Stub-Class physics articles 642: 141:project's importance scale 587:20:01, 30 June 2009 (UTC) 566:are adequately explained. 527:19:48, 30 June 2009 (UTC) 191:19:45, 30 June 2009 (UTC) 176:17:42, 30 June 2009 (UTC) 134: 67: 46: 488: 351: 227:renormalization scheme 28:This article is rated 489: 352: 398: 365:lies in the algebra 248: 243:Rota-Baxter identity 98:WikiProject Physics 484: 483: 459: 417: 347: 34:content assessment 444: 408: 357:and the image of 155: 154: 151: 150: 147: 146: 633: 493: 491: 490: 485: 479: 478: 469: 468: 458: 437: 436: 427: 426: 416: 356: 354: 353: 348: 123: 122: 121:physics articles 119: 116: 113: 92: 87: 86: 76: 69: 68: 63: 55: 48: 31: 25: 24: 16: 641: 640: 636: 635: 634: 632: 631: 630: 606: 605: 470: 460: 428: 418: 396: 395: 371: 246: 245: 199: 160: 120: 117: 114: 111: 110: 88: 81: 61: 32:on Knowledge's 29: 12: 11: 5: 639: 637: 629: 628: 623: 618: 608: 607: 590: 589: 574: 573: 572: 571: 567: 552: 515: 514: 511: 508: 497: 496: 495: 494: 482: 477: 473: 467: 463: 457: 454: 451: 447: 443: 440: 435: 431: 425: 421: 415: 411: 407: 404: 390: 389: 387:principal part 382: 381: 369: 346: 343: 340: 337: 334: 331: 328: 325: 322: 319: 316: 313: 310: 307: 304: 301: 298: 295: 292: 289: 286: 283: 280: 277: 274: 271: 268: 265: 262: 259: 256: 253: 241:satisfies the 219:Laurent series 198: 195: 194: 193: 159: 156: 153: 152: 149: 148: 145: 144: 137:Low-importance 133: 127: 126: 124: 107:the discussion 94: 93: 90:Physics portal 77: 65: 64: 62:Low‑importance 56: 44: 43: 37: 26: 13: 10: 9: 6: 4: 3: 2: 638: 627: 624: 622: 619: 617: 614: 613: 611: 604: 603: 599: 595: 588: 584: 580: 576: 575: 568: 565: 561: 557: 556:Butcher group 553: 550: 546: 542: 537: 533: 532: 531: 530: 529: 528: 524: 520: 512: 509: 505: 504: 503: 501: 480: 475: 471: 465: 461: 455: 452: 449: 445: 441: 433: 429: 423: 419: 413: 409: 402: 394: 393: 392: 391: 388: 384: 383: 379: 375: 368: 364: 360: 341: 335: 329: 323: 320: 311: 305: 302: 296: 293: 287: 281: 275: 269: 266: 260: 257: 251: 244: 240: 236: 232: 228: 224: 220: 216: 212: 211:Feynman rules 208: 207:Butcher group 204: 203: 202: 196: 192: 188: 184: 180: 179: 178: 177: 173: 169: 165: 164:Butcher group 157: 142: 138: 132: 129: 128: 125: 108: 104: 100: 99: 91: 85: 80: 78: 75: 71: 70: 66: 60: 57: 54: 50: 45: 41: 35: 27: 23: 18: 17: 594:134.50.3.202 591: 563: 559: 548: 544: 540: 535: 516: 498: 377: 374:power series 366: 362: 358: 238: 234: 230: 226: 222: 214: 210: 209:, where the 200: 161: 136: 96: 40:WikiProjects 158:Toy example 610:Categories 562:and space 237:such that 30:Stub-class 579:A.K.Nole 536:selected 519:A.K.Nole 168:A.K.Nole 541:removed 183:Mathsci 139:on the 112:Physics 103:Physics 59:Physics 36:scale. 549:added 547:. I 598:talk 583:talk 523:talk 453:< 187:talk 172:talk 507:so. 376:in 372:of 233:on 221:in 217:of 131:Low 612:: 600:) 585:) 525:) 446:∑ 410:∑ 363:id 361:– 189:) 174:) 596:( 581:( 564:V 560:R 545:V 521:( 481:. 476:n 472:z 466:n 462:a 456:0 450:n 442:= 439:) 434:n 430:z 424:n 420:a 414:n 406:( 403:R 380:. 378:z 370:+ 367:V 359:R 345:) 342:g 339:) 336:f 333:( 330:R 327:( 324:R 321:+ 318:) 315:) 312:g 309:( 306:R 303:f 300:( 297:R 294:= 291:) 288:g 285:( 282:R 279:) 276:f 273:( 270:R 267:+ 264:) 261:g 258:f 255:( 252:R 239:R 235:V 231:R 223:z 215:V 185:( 170:( 143:. 42::

Index


content assessment
WikiProjects
WikiProject icon
Physics
WikiProject icon
icon
Physics portal
WikiProject Physics
Physics
the discussion
Low
project's importance scale
Butcher group
A.K.Nole
talk
17:42, 30 June 2009 (UTC)
Mathsci
talk
19:45, 30 June 2009 (UTC)
Butcher group
Laurent series
Rota-Baxter identity
power series
principal part

A.K.Nole
talk
19:48, 30 June 2009 (UTC)
Butcher group

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.