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| Haag R. — Local quantum physics: fields, particles, algebras |
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| Предметный указатель |
 -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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