## Particles and FieldsThe present volume has its source in the CAP-CRM summer school on "Particles and Fields" that was held in Banff in the summer of 1994. Over the years, the Division of Theoretical Physics of the Canadian Associa tion of Physicists (CAP) has regularly sponsored such schools on various theoretical and experimental topics. In 1994, the Centre de Recherches Mathematiques (CRM) lent its support to the event. This institute, located in Montreal, is one of Canada's national research centers in the mathe matical sciences. Its mandate includes the organization of scientific events across Canada and since 1994 the CRM has been holding a yearly summer school in Banff as part of its thematic program. The summer school, whose lectures are collected here, has thus become a tradition. The focus of the school was integrable theories, matrix models, statistical systems, field theory and its applications to condensed matter physics, as well as certain aspects of algebra, geometry, and topology. This covers some of the most significant advances in modern theoretical physics. The present volume updates and expands these lectures and reflects the high pedagogical level of the school. The first chapter by E. Corrigan describes some of the remarkable fea tures of the integrable Toda field theories which are associated with affine Dynkin diagrams. The second chapter by J. Feldman, H. Knorrer, D. Leh mann, and E. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

III | 1 |

V | 3 |

VI | 8 |

VII | 13 |

VIII | 20 |

IX | 24 |

X | 29 |

XI | 30 |

LXXXI | 228 |

LXXXII | 231 |

LXXXIII | 233 |

LXXXIV | 235 |

LXXXV | 236 |

LXXXVI | 238 |

LXXXVII | 240 |

LXXXVIII | 242 |

XII | 35 |

XIV | 39 |

XV | 42 |

XVI | 48 |

XVII | 50 |

XVIII | 52 |

XIX | 62 |

XX | 63 |

XXI | 65 |

XXIII | 69 |

XXIV | 74 |

XXV | 75 |

XXVI | 80 |

XXVII | 86 |

XXIX | 89 |

XXX | 91 |

XXXI | 94 |

XXXIII | 98 |

XXXIV | 105 |

XXXV | 109 |

XXXVII | 111 |

XXXVIII | 114 |

XXXIX | 116 |

XL | 118 |

XLI | 120 |

XLII | 122 |

XLIII | 124 |

XLIV | 125 |

XLV | 127 |

XLVII | 129 |

XLVIII | 130 |

XLIX | 133 |

L | 140 |

LI | 142 |

LII | 143 |

LIV | 144 |

LV | 145 |

LVI | 146 |

LVII | 149 |

LVIII | 150 |

LIX | 151 |

LX | 162 |

LXI | 163 |

LXII | 165 |

LXIII | 169 |

LXIV | 173 |

LXV | 179 |

LXVI | 184 |

LXVII | 185 |

LXVIII | 187 |

LXIX | 193 |

LXX | 198 |

LXXI | 203 |

LXXII | 204 |

LXXIII | 211 |

LXXIV | 213 |

LXXV | 215 |

LXXVI | 216 |

LXXVII | 221 |

LXXVIII | 222 |

LXXIX | 223 |

LXXX | 225 |

LXXXIX | 244 |

XC | 248 |

XCI | 251 |

XCIII | 258 |

XCIV | 266 |

XCV | 276 |

XCVI | 280 |

XCVII | 288 |

XCVIII | 294 |

XCIX | 302 |

C | 307 |

CI | 314 |

CII | 319 |

CIII | 321 |

CIV | 331 |

CV | 334 |

CVI | 341 |

CVII | 348 |

CVIII | 353 |

CIX | 360 |

CX | 361 |

CXI | 364 |

CXII | 365 |

CXIII | 380 |

CXIV | 395 |

CXV | 396 |

CXVI | 401 |

CXVII | 403 |

CXVIII | 408 |

CXIX | 409 |

CXX | 415 |

CXXI | 418 |

CXXII | 423 |

CXXIII | 426 |

CXXIV | 429 |

CXXV | 431 |

CXXVI | 441 |

CXXVII | 442 |

CXXIX | 444 |

CXXX | 447 |

CXXXII | 448 |

CXXXIV | 452 |

CXXXV | 453 |

CXXXVI | 456 |

CXXXVII | 457 |

CXXXVIII | 459 |

CXXXIX | 460 |

CXL | 463 |

CXLII | 464 |

CXLIII | 469 |

CXLIV | 470 |

CXLVII | 471 |

CXLVIII | 472 |

CL | 473 |

CLI | 474 |

CLIII | 476 |

CLIV | 478 |

CLV | 479 |

CLVI | 480 |

CLVII | 484 |

487 | |

### Other editions - View all

### Common terms and phrases

AAOs action Aharonov-Bohm algebra associated assume bound braid group carry charge choice classical commuting complete connection consider construction corresponding coupling defined definition denote depends derivative described detail determinant diagram discrete discussion effect elements equal equations example excitations Exercise exists expression exterior derivative fact factor field theory Figure finite fixed flow flux formalism formula function fusion gauge theory given gives global Hamiltonian Higgs Hilbert space identity independent integral interactions internal introduce invariant limit magnetic manifold mass Math matrix measure natural non-Abelian nontrivial Note obtain operators pair particles particular path integral Phys physical polynomials positive present properties quantum quantum mechanics relation representation represented respectively result roots satisfy scattering simple solutions spectrum structure symmetry theorem tion topological transformations values variables vector vortices yields