Manton N., Sutcliffe P. — Topological solitons :: Электронная библиотека попечительского совета мехмата МГУ

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Manton N., Sutcliffe P. — Topological solitons

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Название: Topological solitons

Авторы: Manton N., Sutcliffe P.

Аннотация:

This book introduces the main examples of topological solitons in classical field theories, discusses the forces between solitons, and surveys in detail both static and dynamic multi-soliton solutions. Kinks in one dimension, lumps and vortices in two dimensions, monopoles and Skyrmions in three dimensions, and instantons in four dimensions are all discussed.

Язык:

Рубрика: Физика/Квантовая теория поля/Теория калибровочных полей/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 492

Добавлена в каталог: 20.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$\mathbb{CP}^{1}$ sigma model      133
$\mathbb{CP}^{m}$ sigma model      140 464
$\mathfrak{I}$ integral      368
$\Phi^{4}$ kink      111
$\pi/N$ scattering      329
Abelian Higgs model      181
ADHM construction      425
ADHM data      425
Affine Toda field theory      127
Algebraic degree      59
Antikink      111
Antizero      288
Atiyah — Hitchin cone      323
Atiyah — Hitchin metric      318
Atiyah — Hitchin trumpet      325
Atiyah — Ward ansatz      308 425
Attractive channel      357
B violation      463
Baby Skyrme model      151
Baby Skyrmion      80 153
Baecklund transformation      118
Baryon number      80 351
Bogomolny bound      111 112 133 198 228 262
Bogomolny equation      111 112 125 133 198 202 228 262
Bounded monopole geodesic      327
BPS limit      250
Bradlow inequality      229
Breather      123
Buckybaii      376
Caloron      439
Centred monopole      297
Chern forms      62 67
Chern numbers      62 67
Chern — Simons forms      69
Chern — Simons number      70 459
Chern — Simons vortex      194 202
Chiral symmetry      350
Chiral symmetry restoration      383 404
Cocycle condition      94
Conservation laws      21
Covariant derivative      39
Critical coupling      188 197 220
Deformed sphaleron      460
Derrick’s theorem      83
Dibaryon      401
Differential forms      60
Dirac monopole      241
Dirac quantization condition      244
Domain wall      124 385
Domain wall junction      124
Donaldson maps      294
Dyon      266
Electric current      161
Electroweak sphaleron      454
Euler — Lagrange equation      16 25
Exterior derivative      60
Faddeev — Bogomolny bound      352
Field theory      23
Finkelstein — Rubinstein constraint      407
Framed fields      252
Fullerene      365
Fundamental group      49
Gauge theory      32
Gauged kink      447
Gauged lump      15
Gauss’ law      35 40
GEM rule      3
Gibbons — Manton metric      338
Ginzburg — Landau energy      35 159
Global monopole      78
Global vortex      78 159 169
Goldstone particles      32
Goldstone’s theorem      32
Gradient flow      20
Grand unified theory      250
Hartshorne conics      421
Hedgehog ansatz      91 354
hessian      381 443
Higgs mechanism      43
Higgs particle      43 253
Hitchin’s equation      294 296
Hodge dual      417
Homotopy group      48
Honiotopic      48
Honiotopy theory      47
Hopf charge      80 409
Hypcrbolic vortex      236
Hyperbolic monopole      346
Hypercube representation      51
Instanton      416
Instanton holonoray      432
Instanton moduli space      419 440
Intograble system      118
Isometrics      22
Isospin transformation      350
Isothermal coordinates      228
Isotropy group      31
Jarvis maps      294 300
JNR ansatz      420
Killing equation      21
Killing vector      22
Kink      78 110

Kink scattering      120
Kink-antikink energy      114
Kink-kink energy      117
Klein polynomials      145
Knot solitons      414
Lax form      286
Lie derivative      21
Linear scalar field theory      26
Liouvillc’s equation      236
Lorentz boost      114 119
Lump      80
Lump scattering      137
Magnetic weights      341
Mini-twistor space      289 307
Moduli space dynamics      102 202
Moduli space volume      231
monopole      78 241 253
Monopole inodes      399
Monopole moduli space      315
Monopole scattering      314
Monopole-antimonopole dipole      451
Mountain passes      441
Nahm transform      269
Nalnn data      274
Nalnn equation      269
Noether charge      29
Noether’s theorem      22 28
Nonlinear kink      80
Nonlinear scalar field theory      28
O(3) sigma model      131
Periodic sinc-Gordon model      128
Periodic sphaleron      444
Phase transition      383 405
Pion dipoles      355
Pion fields      350
Pion mass term      405
Platonic groups      145
Poncelet condition      421
Prasad — Sommerfield monopole      261
Principle of symmetric criticality      99
Product ansatz      358
Pure gauge      42
Q-lump      154
Quantization of Skyrmions      406
Quantum Hall ferromagnets      154
Rational map      58 293
Rational map ansatz      366
Reduced monopolo moduli space      317
Rest mass      113
Resultant      135
Right-angle scattering      185 218 324 390
Saddle point      441
Self-dual Yang — Mills      264 307 418
Simply connected      49
Sine — Gordon kink      116
Skynne crystal      382
Skynnion — Skyrmion energy      357
Skyrinc term      351
Skyrme lattice      384
Skyrme — Faddeev model      408
Skyrmion      80 349
Skyrmion moduli space      394
Skyrmion on $S^{3}$       403
Skyrmion scattering      390
Skyrmion vibrational modes      397
Skyrnie fields from instantons      431
Skyrrne model      349
Spectral curve      286 289
Spectral curve constraints      291
Spectral lines      296
Sphaleron      441
Spontaneous symmetry breaking      31
Standard model      454
Star      293
Strain tensor      352
Strongly centred monopole      297
SU(m) instanton      440
SU(N_{1}) Skyrmion      400
Superconductor      191 192 197
Superpotential      110 124
Supersymmetric theories      251
Suspension      366
Symmetry enhancement      379
Taub-NUT metric      321
Texture      81
Topological charge      112
Topological degree      55 56 59
topology      47
Twisted line scattering      331
VACUUM      31
Veronese embedding      78
Virial theorem      86
Volume form      55
Vortex      77 158 171
Vortex metric      205
Vortex scattering      215 218
Weak Skyrmion      460
Wess — Zumino term      406
Wick rotation      416
Winding number      49
wronskian      144 369
Yang — Mills field tensor      39
’T Hooft ansatz      418 420

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