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Stochastic quantization

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340: 397: 103:. Then the Euclidean path integral measure can also be thought of as the stationary distribution of a stochastic process; hence the name stochastic quantization. 112: 438: 381: 467: 457: 117: 462: 431: 76: 64: 63:
Stochastic quantization takes advantage of the fact that a Euclidean quantum field theory can be modeled as the
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in the statistical mechanical system. A statistical mechanical system in equilibrium can be modeled, via the
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representation of a Euclidean quantum field theory, the path integral measure is closely related to the
68: 291: 230: 184: 146: 88: 84: 45: 17: 175:(1952). "Eine wahrscheinlichkeitstheoretische Begründung und Interpretation der Quantenmechanik". 367: 221:(1967). "A simple derivation of the Schroedinger equation from the theory of Markoff processes". 200: 100: 92: 218: 404: 307: 299: 238: 192: 154: 57: 276: 295: 234: 188: 150: 408: 351: 172: 29: 137:
Nelson, E. (1966). "Derivation of the Schrödinger Equation from Newtonian Mechanics".
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of a statistical mechanical system in equilibrium. In this relation, Euclidean
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Parisi, G; Y.-S. Wu (1981). "Perturbation theory without gauge fixing".
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is a method for modelling quantum mechanics, introduced by
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that usually occurs in these numerical calculations.
44:, and is used for numerical applications, such as 432: 375: 8: 113:Supersymmetric theory of stochastic dynamics 40:Stochastic quantization serves to quantize 439: 425: 382: 368: 311: 56:. This serves to address the problem of 275:Damgaard, Poul; Helmuth Huffel (1987). 129: 7: 393: 391: 336: 334: 14: 395: 338: 1: 69:statistical mechanical system 28:in 1966, and streamlined by 411:. You can help Knowledge by 354:. You can help Knowledge by 304:10.1016/0370-1573(87)90144-X 243:10.1016/0375-9601(67)90639-1 118:Stochastic quantum mechanics 484: 390: 333: 277:"Stochastic Quantization" 159:10.1103/PhysRev.150.1079 75:. In particular, in the 42:Euclidean field theories 219:De La Peña-Auerbach, L. 97:stationary distribution 22:stochastic quantization 407:-related article is a 350:-related article is a 177:Zeitschrift für Physik 81:Boltzmann distribution 468:Quantum physics stubs 89:correlation functions 46:numerical simulations 458:Stochastic processes 290:(5&6): 227–398. 296:1987PhR...152..227D 235:1967PhLA...24..603D 189:1952ZPhy..132...81F 151:1966PhRv..150.1079N 18:theoretical physics 197:10.1007/BF01338578 101:stochastic process 93:ergodic hypothesis 463:Mathematics stubs 420: 419: 405:quantum mechanics 363: 362: 223:Physics Letters A 85:Green's functions 65:equilibrium limit 475: 441: 434: 427: 399: 392: 384: 377: 370: 342: 335: 325: 324: 322: 320: 315: 281: 272: 266: 265: 253: 247: 246: 215: 209: 208: 169: 163: 162: 145:(4): 1079–1085. 134: 58:fermion doubling 483: 482: 478: 477: 476: 474: 473: 472: 448: 447: 446: 445: 389: 388: 331: 329: 328: 318: 316: 284:Physics Reports 279: 274: 273: 269: 255: 254: 250: 229:(11): 603–604. 217: 216: 212: 171: 170: 166: 139:Physical Review 136: 135: 131: 126: 109: 38: 12: 11: 5: 481: 479: 471: 470: 465: 460: 450: 449: 444: 443: 436: 429: 421: 418: 417: 400: 387: 386: 379: 372: 364: 361: 360: 343: 327: 326: 267: 248: 210: 164: 128: 127: 125: 122: 121: 120: 115: 108: 105: 50:gauge theories 37: 34: 13: 10: 9: 6: 4: 3: 2: 480: 469: 466: 464: 461: 459: 456: 455: 453: 442: 437: 435: 430: 428: 423: 422: 416: 414: 410: 406: 401: 398: 394: 385: 380: 378: 373: 371: 366: 365: 359: 357: 353: 349: 344: 341: 337: 332: 314: 309: 305: 301: 297: 293: 289: 285: 278: 271: 268: 263: 259: 252: 249: 244: 240: 236: 232: 228: 224: 220: 214: 211: 206: 202: 198: 194: 190: 186: 183:(1): 81–106. 182: 178: 174: 168: 165: 160: 156: 152: 148: 144: 140: 133: 130: 123: 119: 116: 114: 111: 110: 106: 104: 102: 98: 94: 90: 86: 82: 78: 77:path integral 74: 71:coupled to a 70: 66: 61: 59: 55: 51: 47: 43: 35: 33: 31: 27: 26:Edward Nelson 23: 19: 413:expanding it 402: 356:expanding it 345: 330: 317:. Retrieved 287: 283: 270: 261: 257: 251: 226: 222: 213: 180: 176: 167: 142: 138: 132: 62: 39: 21: 15: 348:mathematics 313:1721.1/3101 258:Sci. Sinica 452:Categories 173:Fényes, I. 124:References 205:119581427 95:, as the 73:heat bath 107:See also 54:fermions 32:and Wu. 319:8 March 292:Bibcode 231:Bibcode 185:Bibcode 147:Bibcode 87:become 36:Details 264:: 483. 203:  30:Parisi 403:This 346:This 280:(PDF) 201:S2CID 99:of a 67:of a 52:with 409:stub 352:stub 321:2013 308:hdl 300:doi 288:152 239:doi 193:doi 181:132 155:doi 143:150 48:of 16:In 454:: 306:. 298:. 286:. 282:. 262:24 260:. 237:. 227:24 225:. 199:. 191:. 179:. 153:. 141:. 20:, 440:e 433:t 426:v 415:. 383:e 376:t 369:v 358:. 323:. 310:: 302:: 294:: 245:. 241:: 233:: 207:. 195:: 187:: 161:. 157:: 149::

Index

theoretical physics
Edward Nelson
Parisi
Euclidean field theories
numerical simulations
gauge theories
fermions
fermion doubling
equilibrium limit
statistical mechanical system
heat bath
path integral
Boltzmann distribution
Green's functions
correlation functions
ergodic hypothesis
stationary distribution
stochastic process
Supersymmetric theory of stochastic dynamics
Stochastic quantum mechanics
Bibcode
1966PhRv..150.1079N
doi
10.1103/PhysRev.150.1079
Fényes, I.
Bibcode
1952ZPhy..132...81F
doi
10.1007/BF01338578
S2CID

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