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Borne T., Lochak G., Stumpf H. — Nonperturbative quantum field theory and the structure of matter
Borne T., Lochak G., Stumpf H. — Nonperturbative quantum field theory and the structure of matter



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Название: Nonperturbative quantum field theory and the structure of matter

Авторы: Borne T., Lochak G., Stumpf H.

Аннотация:

In this book a new method of nonperturbative quantum field theory is developed which offers an alternative version of the common treatment of these problems, and which, in addition, is adapted to the investigation of composite particle dynamics and reactions, or, synonymously, to the investigation of the structure of matter. This new method is based on the Algebraic Schrodinger Representation of canonically quantized (relativistic) fields, and the derivation, formulation and application of this representation will be extensively discussed in Chapters 3, 4 and 5. In this method use is made of the Hamiltonian formalism in combination with elements of the algebraic representation theory of quantum fields and Heisenberg's equation of motion.


Язык: en

Рубрика: Физика/Физика твёрдого тела/Методы квантовой теории поля/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 332

Добавлена в каталог: 27.07.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
${\tau}^{(n)}$ functions      72
${\varphi}^{(n)}$ functions      88
Afiine connection      278
Algebraic, Quantum Theory      70
Algebraic, Schroedinger Representation      97ff
Angular momentum density      57
Anholonomic coordinates      277f
Antisymmetric product      107
Auxiliary fields      54 184f
Bargmann — Wigner equations      38 see
Basis states, dual      103
Basis states, nonorthogonal      102ff 106ff
Bethe — Salpeter equations      148 190
Bianchi identities      278f 292
Bosons, effective masses      211 244ff
Bosons, electro-weak gauge      215
Bosons, observable substructures      250ff
Bosons, W, Z      228ff 244
Bound state equations      150ff 174
Bound states      126ff 148ff
Bound states, four-fermion      173ff
Bound states, quantum numbers      160ff
Bound states, scalar boson      156ff 245ff
Bound states, three-particle      167ff 215ff
Bound states, vector boson      155ff 159 244ff
BRS-formalism      193
CAR algebra      58 73 113
Casimir operators      66
CCR algebra      132
Chain rule method      137ff 145 202 283
Charge      170f
Chiral symmetry      41 46
Christoffel symbol      278
Clebsch — Gordon theorem      30
Composite particles      126ff
Connection affme      278
Constraints phenomenological      199f 233ff
Contraction technique      150ff
Cosmological constant      35
Coupling, constant      293
Coupling, constant, effective      211
Coupling, of bosons and fermions      201ff
Coupling, of fermions and gravitons      296ff
Coupling, Yukawa      42
Covariant derivative      280 296
Covariant formalism      69 95f 120f 150ff
Current density of fusion theory      15 26f
Curvature      35
Curvature, scalar      278
Curvature, tensor      278ff
Cyclic vector      106 113
de Broglie — Bargmann — Wigner equations      148ff 206
Decomposition theorem      52
Decoupling theorem      204 272
Dipole ghosts      41
Dirac equation in Riemann — Cartan space      280
Dirac vacuum      180
Direct forces      136ff
Dressed particle, dynamics      144ff
Dressed particle, states      127 140ff 293ff
Dual functions      130 142 204ff 218 288 295f
Effective, boson masses      211 244ff
Effective, boson theory      132ff 208ff
Effective, boson-fermion theory      144ff 201ff 219ff
Effective, boson-fermion theory, with symmetry breaking      238ff
Effective, coupling constant      211
Effective, electrodynamics      236ff
Effective, fermion mass      225
Effective, graviton equations      289ff
Effective, graviton-fermion theory      281 296ff
Effective, quantization      259ff
Effective, quantum Hamiltonians      259ff
Effective, Yang — Mills equations      213f
Einstein equations      278
Einstein theory      278ff
Einstein theory, in anholonomic coordinates      280
Electric fields non-abelian      212ff
Electro-weak gauge boson states      215
Electro-weak theory phenomenological      193ff 226ff
Energy equation, for boson fields      135f 140ff
Energy equation, for boson-fermion theory      146ff 203ff 222f
Energy equation, for graviton-fermion theory      283
Energy equation, for non-abelian SU(N) theory      199f
Energy equation, for subfermion fields, normal ordered version      92 94
Energy equation, for subfermion fields, time ordered version      86ff
Energy equation, for subfermions single time version      117 119
Energy-momentum density      56
Energy-momentum density, of fusion theory      16 27f
Equal time limit      120f
Equivalence principle      280
Exchange forces      136ff
Exchange forces, estimate of      271ff
Expansion functions, for boson mapping      204f
Expansion functions, for graviton mapping      285
Fermion mass effective      225
Feynman propator      150
Field operator      57
Fock, representation      69
Fock, vacuum      169
Functional equation, for boson fields      135f 140ff
Functional equation, for boson-fermion theory      145f 203ff 222f
Functional equation, for graviton-fermion theory      283
Functional equation, for non-abelian SU(N) theory      199f
Functional equation, for spinor fields normal transformed      90
Functional equation, for subfermion fields, normal transformed      90
Functional equation, for subfermion fields, time ordered      84f
Functional Quantum Theory      70f
Functional, chain rule      139 202 283
Functional, generating      74
Functional, ground state      74 113
Functional, Hamiltonian operator      261ff
Functional, Hamiltonian operator, for boson-fermion theory      146 203
Functional, Hamiltonian operator, for effective boson-fermion theory      222f
Functional, Hamiltonian operator, for non-abelian gauge theory      200 238ff
Functional, Hamiltonian operator, for subfermions      128
Functional, Heisenberg equation      212
Functional, space      71 73f
Functional, space, bosonic      132
Functional, space, for coupling theories      202
Functional, space, single time version      113ff
Functional, states      72ff 88 112 133 199f 202 282
Fusion, de Broglie's general method      24ff
Fusion, principle      48
Fusion, theory      39ff
Fusion, theory, de Broglie's      6ff
Gauge fields, non-Abelian      193ff
Gauge theory      102 193ff
Gauge, fixing      235f
Gauge, invariance      21
Gauge, Lorentz      12
Gauge, temporal      194f 197 205f 235f
Gauss law      197f 214 233ff
Geheniau formulae      16
Generators      62ff 76ff
Glashow — Salam — Weinberg theory      194 226ff
Glashow — Salam — Weinberg transformation      228
Gluon      249 276
GNS construction      70f 106ff
Grand unification      47
Gravitation theory      276ff
Gravitation theory, anholonomic      278ff
Gravitation theory, in flat space      276f
Graviton in fusion theory      29ff
Graviton states      173ff 285ff
Green's function      151f 253 294
Haag's theorem      69
Hamiltonian density, for local gauge theory      231
Hamiltonian density, for subfermions      56 101
Hamiltonian density, of composite photons      15
Hamiltonian formalism      97ff 120f
Hamiltonian formalism, relativistic covariance      120ff
Hard core, equation      129
Hard core, states      128ff
Hausdorff formula      114
Heisenberg equation      101 112 115
Heisenberg equation, functional version      212
Heisenberg picture      67
Higgs mechanism      225 226ff
Higher order equations      51ff
Hypercharge      170f
Indefinite metric      41 49 58 99ff
Inequivalent representations      69 97
Klein — Gordon equation      12
Krein space      98 99ff
Lagrangian, for subfermions      56
Lagrangian, of composite photons      15
Lagrangian, of local gauge theory      195 226f 230
Lehmann — Kaellen spectral theorem      131
Lepton states      167ff 214ff
Lorentz group      see “Poincare group”
LSZ formalism      69
Magnetic fields non-abelian      212ff
Mass of gravitons      35
Mass of photons      12 2 23
Matrix elements      72
Maxwell equations      12 183
Membranes      47
Metric indefinite      41 49 58 99ff
Metric tensor      108f 143f 278
Metric tensor, for one-fermion states      181f
Metric tensor, of Riemann space      34f
Minimal coupling      280
monopole      14
Neutrino      21
NJL model      45
Norm conservation      179ff 184ff
Normal ordering      87ff
Normal ordering, functional      87ff
Normal ordering, nonperturbative      87ff 118ff
Normalization of states      109f 179f 254ff
Operator product      42ff 126 190f
Operator product, antisymmetric      107
Operator product, time ordered      72 82 95f
Particle intepretation      169
Particles      40
Particles, spectrum of      244ff
Path integrals      43ff 95
Pauli — Villars regularization      48 51 55f
Phenomenological constraints      233ff
Photon      4ff 42 190
Photon, electric      11
Photon, equations      7ff
Photon, equations, effective      244
Photon, magnetic      14
Physical, potentials      21
Physical, states      188ff 244f 254ff
Physical, subspace      100f
Poincare gauge theories      299
Poincare group      48 61ff 76f
Polarization cloud      127 221 282
Potentials physical      21
Probability, density for vector bosons      254
Probability, interpretation      184ff
Proca equation      37
Propagator      88f 91
Propagator, Feynman      150
Propagator, free fermion      91ff
Propagator, free fermion, single time version      118f 130f 207
Propagator, symmetry breaking      237
Quantization, effective      198 259ff
Quantization, non-canonical      48f 58
Quantization, of non-abelian SU(N) theory      198f
Quantization, of spinor fields      57f
Quantum numbers, of three-particle states      169ff
Quantum numbers, of two-particle states      160
Quark states      167ff 215ff
Regularization      47ff 58 184ff 262f
Regularization, nonperturbative      48 51 97
Regularization, Pauli — Villars      48 51 55f
Relativistic covariance of Hamiltonian formalism      120ff
Renormalization, vacuum      110
Renormalization, vertex      93f 120
Representation, Fock      69
Representation, GNS      70f 92 106ff
Representation, inequivalent      69 97
Representation, of operators      104ff llOff
Representation, of states contravariant      103
Representation, of states covariant      103
Residual interactions estimate of      265ff
Ricci identities      278 291
Ricci tensor      278
Riemann space      278ff
Riemann — Cartan geometry      288 292
Riemann — Christoffel tensor      34 278
Rishon model      50
Scalar boson states      156 160ff 246ff
Scalar product      100 104 256
Scalar product, covariance of      123ff
Scalar product, in functional space      76 114ff
Scattering states      155 272
Schroedinger picture      67
Schwinger — Dyson — Freese equations      69 85 95
Secular equation for vector bosons      158
Shell model states      214ff
Single time formalism      see “Hamiltonian formalism”
Spin, in fusion theory      29f
Spin, of composite photons      18f 19ff
Spinor field, equation      50 55 59f
Spinor field, theory, Heisenberg's      40ff
Spinor field, transformations      61f 67f
Standard model      191 226
State space      69 97ff
States, algebraic      70
States, bound      126ff 148ff
States, electro-weak gauge boson      204
States, four-fermion      173ff
States, functional      74
States, graviton      173ff 285ff
States, lepton and quark      167ff 216ff
States, normalization      109f
States, physical      184ff 254ff
States, scalar boson      156 160ff 246ff
States, scattering      155 272
States, shell model      214ff
States, three-particle      167ff 216ff
States, vacuum      61 71
States, vector boson      155ff 204ff 251ff
strings      47
Strong mapping      42ff 190f
Subfermions      49f 125
Subfermions, angular momentum density      57
Subfermions, energy-momentum density      56
Subfermions, Hamiltonian density      56
Subfermions, Lagrangian density      55
Super-index      59 197
Superspinor      59
Supersymmetry      47
Symmetry breaking      226ff
Symmetry breaking, by vacuum state      236ff
Symmetry breaking, in effective gravitation      288
Symmetry chiral      46
Symmetry conditions      61ff
Symmetry conditions, for ${\tau}^{(n)}$ functions      79
Symmetry conditions, for functional states      79 90
Symmetry conditions, of three-particle states      168ff
Symmetry conditions, of vector boson states      160ff
Tamm — Dancoff method      41 71 99
Temporal gauge      194f 197 205f 235f
Tensor functions for graviton states      176ff
Tetrads      279
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