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Haag R. — Local quantum physics: fields, particles, algebras
Haag R. — Local quantum physics: fields, particles, algebras

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Название: Local quantum physics: fields, particles, algebras

Автор: Haag R.

Аннотация:

This book gives a comprehensive account of local quantum physics understood as the synthesis of quantum theory with the principle of locality. Centered on the algebraic approach, it describes both the physical concepts and the mathematical structures and their consequences. These include the emergence of the particle picture, general collision theory covering the cases of massless particles and infraparticles, the analysis of possible charge structures, and exchange sym metries including braid group statistics. Thermal states of an unbounded medium and local equilibrium are discussed in detail. The author takes care both to describe the ideas and to give a critical assessment of future perspectives. The new edition contains numerous improvements and a new chapter concerning formalism and interpretation of quantum theory.


Язык: en

Рубрика: Физика/Квантовая теория поля/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: second edition

Год издания: 1996

Количество страниц: 390

Добавлена в каталог: 11.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\tau$-functions      64
Abstract algebra      109 118
Action principle      39
Affine connection      23
Algebra of observables      109
Algebra, abstract      109 118
Algebra, Banach      118
Algebra, polynomial      84 105
Algebra, von Neumann      113
Almost local      84
Analyticity      60ff
Annihilation operator      37
Antiparticle      48 99
Antiunitary      27
Asymptotic completeness      80 271ff
Asymptotically Abelian      226 229
Autocorrelation inequalities      214
Axiomatic quantum field theory      58
Banach algebra      118
Bekenstein entropy      346
Bell's inequality      107 316
BF-localization      174ff
Bisognano — Wichmann theorem      245
Black hole evaporation      346
Boost      245
Borchers class      104
Borchers — Uhlmann algebra      334
Bose statistics      35
Bose — Fermi alternative      35 97 149ff
Braid group      192
C*-algebra      106 112
Canonical anticommutation relations      37 54
Canonical commutation relations      2 54
Canonical dimension of field      337
Canonical implementation of translations      283
Causal completion      143
Causal link      309
Causality      9 57
Center      116
Center of mass      38
Charge conjugation      99 167ff 183
Charge quantum numbers      154
chemical potential      200 239ff
Classical approximation      299
Cluster      61
Cluster property      103 134
Coboundary      19
Cocycle      19
Coherent subspace      108
Cohomology      19
Coincidence arrangement      92 271
Collective coordinates      299
Collision theory      76ff 84ff
Compactness requirement      255
Complementarity      295
Conformal group      13
Conformal invariance      249
Connection, affine      23
Convex body      7
Convex cone      7 308
Correlation functions      62
Correspondence principle      295
Cotangent bundle      11 22
Cotangent vector      11
Covariant differentiation      24
Covering group      12
CPT operator      96 99
CPT theorem      99
Creation operator      37
Cross sections      81 278
Cuntz algebra      186
Curvature      24
Cyclic      123
Decoherence      300
Density operator      4
Detector      92 271
DHR-analysis      156ff
diamond      111
Dimension, relative      117
Dirac equation      33
Disjoint representations      126
dispersion relation      101
Distributions      56
Doplicher ideal      135
Double cone      111
DR-category      189
Duality relation      145
Dynamical law      58
Dynamical stability      227
Einstein causality      9
Einstein equations      25
Einstein — Podolsky — Rosen paradox      107 316
Endomorphism, implementation of      185
Energy-momentum operators      56
Energy-momentum spectrum      56 102
Energy-momentum tensor      24 25
entropy      205 214
Equilibrium      199ff
Event      2 3 289 309ff
Exchange algebra      197
expectation value      5 7
Extremal invariant state      133
Extremal KMS-state      212
Face      7
Factor      116
Factor type      117 118 224ff
Fermi statistics      35
Feynman amplitudes      66
Feynman diagrams      67
Feynman path integral      42 324
Field algebra      184
Field bundle      172
Field-particle duality      46
Fock space      36
Folium of states      124
Fredenhagen — Hertel condition      257
Free field      46
Gauge group (global)      184ff
Gauge group (global), non Abelian      187
Gauge invariance (local)      21 50
Gauge principle (local)      325
Gauge transformation      50
Gelfand ideal      123
Gell-Mann and Low formula      65
General covariance      22
General relativity      21ff
Geodesic      39
Germ      326ff
Germ of theory      335 341
Gibbs ensembles      199ff
Gibbs phase rule      214
GNS-construction      122
Graded Lie algebra      330
Haag's theorem      55
Hadamard form      335
Hagedorn temperature      256
Hawking temperature      248 341ff
Heisenberg cut      3 295
Helicity      31
Hislop — Longo theorem      251
history      311 313 321
Implementable      110
Incoming fields      80
Indeterminacy      294
Infraparticle      280
Intermediate type I factor      256
Interpretation of quantum mechanics      2
Intertwiner      159
Irreducible      28
Irreversibility      312
Isomorphism      115
Isoparallel      23 39
Jones index      195
Jordan algebra      307
Jost points      61
KMS-condition      199ff
Lagrangean      39
Linked cluster theorem      63
Little Hilbert space      30
Local definiteness      130
local gauge invariance      21
Local gauge transformation      50
Local normality      131
Local stability      234 338
Locality      7
Localizability of charges      153 177ff
Localization number      275
Localized morphism      156
Localized state      102 174 254
Lorentz force      20
Lorentz group      10ff
LSZ-formalism      81
Majorana field      48
Measurement      3 300
Microlocal analysis      335
Microlocal spectrum condition      335 340
Mixture of states      7
Modular automorphism      217
Modular conjugation      217
Modular Hamiltonian      218
Modular nuclearity      265
Modular operator      217
Nahwirkungsprinzip      7
Natural cone      221
Net of algebras      105
Newton — Wigner localization      32
Noether's theorem      42
Normal order      45
Normal states      128
Nuclear maps      257
Nuclearity index      256
Nuclearity requirement      255
Nuclearity, modular      265
Observables      1ff 25
Observation procedure      7 324
Observer      3
Open systems      263
Operation      84
Operator valued distribution      56
Osterwalder — Schrader theorem      73
Outgoing fields      80
Parallel transport      23
Parastatistics      35 150
Particle      75ff 271ff
Particle, localization of      33
Particle, single      32
Passivity      235ff
Pauli principle      35
Perturbation theory      51 65ff
Phase space      254ff
Phase, thermodynamic      212
Planck length      347
Plekton      194
Poincare group      8ff
Poincare group, representations of      28ff
Poisson bracket, Peierls' method      40 41
Polynomial algebras      84 105
Primary representation      126
Primary state      126 134
Primitive causality      58
Projective representation      27
Projector      4
Proposition      4
Pure state      4
Quantization      6 302
Quantum electrodynamics      48 66ff
Quantum field      42ff 56
Quantum field, free      46
Quantum field, local      46
Quantum group      197
Quantum logic      307
quantum mechanics      1ff
Quasiequivalent      126
r-Functions      73
Radiation reaction      21
Radon — Nikodym cocycle      224
reality      298
Reconstruction theorem      59
Reduction formulas      83
Reeh — Schlieder theorem      101
Reflection positivity      75
Relative modular operator      222
Relativity, general      21ff
Relativity, special      8
Renormalization      65ff
Retarded functions      73
Rindler space      342
S-matrix      80
S-matrix, analyticity of      100
Saturation      211
Scaling      328f
Scaling limit      329 336
Schwarzschild metric      343
Schwinger functions      73ff
Second law of thermodynamics      237
Second quantization      46
Sector      154
Single particle states      31
Spectrum      119
Spin      31
Spin-statistics theorem      97
Spinor      12
Split property      256 258
Stability group      30
Stability, dynamical      227ff
Stability, local      338
State      3 26 122
State, mixed      4
State, primary      126 134
State, pure      4
Statistical independence      258
Statistics dimension      169 194
Statistics operator      162 192
Statistics parameter      168 194
Statistics phase      194
Statistics, infinite      170 183
Supergravity      332
Superposition principle      5 108 305
Superselection rules      108
Superselection sector      108 154
Supersymmetry      329ff
Symmetry      26 41 132
Symmetry breaking      132ff 212
system      3
Tangent bundle      11 22
Tangent space      11 22 336
Thermal equilibrium      199ff
Thermodynamic limit      199
Thermodynamics, second law      237
Time slice axiom      58
Tomita — Takesaki theorem      217
Truncated functions      62
Twistor      17
Type of factors      117 118 224
Universal type      267
VACUUM      56 137
Vector state      124
Vertex functions      71
von Neumann algebra      106 113
von Neumann ring      113
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