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Strocchi F. — Symmetry Breaking
Strocchi F. — Symmetry Breaking



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Название: Symmetry Breaking

Автор: Strocchi F.

Аннотация:

Spontaneous symmetry breaking is a revolutionary new idea of thinking in terms of symmetry and the corresponding properties of physical systems. The first part of this book develops the mathematical understanding of spontaneous symmetry breaking on the basis of classical field theory. The author addresses the existence of sectors, stability, and presents an improved Noether theorem, as well as the classical counterpart of the Goldstone theorem. The second part deals with quantum systems. Here criteria for spontaneous symmetry breaking are discussed in detail as well as Goldstone's theorem, gauge theories are included, and the theorem on the Higgs mechanism is presented. The author keeps the mathematical details to the minimum required to make the book accessible to students with basic knowledge of Hilbert space structures. Much of the material appears here for the first time in book form.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 2007

Количество страниц: 216

Добавлена в каталог: 14.11.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Algebra of canonical variables      68
Algebra of observables      69
Algebraic symmetry      71 119
Anti-kink      41
Anti-soliton      43
Asymptotic abelianess      91
Asymptotic localization      91
Bicommutant      96
Bloch — Nordsieck model      86
Bose gas      151
Bose gas, dynamical derealization      108
Bose gas, free      106
Bose — Einstein condensation, symmetry breaking      124 155
Bose — Eistein condensation      106
Cauchy problem      14
Cauchy problem, global      55
Cauchy problem, global existence and uniqueness      20
Cauchy problem, small times      53
Charge integrability      166
Classical field equations      13
Classical source model      84
Cluster property      99
Continuous internal symmetry      35
Continuous internal symmetry, generator      36
Coulomb systems      164
Delocalization, non-relativistic      91
Disjoint physical world      74
Disjoint realizations      8 21
Double well model      8
Dynamical derealization      168
Dynamical derealization and interaction range      169
Energy bounded below      31
Energy-momentum renormalized density      31
Fermi gas      151
First order formalism      18
Fock representation      73
Folium      73
Galilei symmetry breaking      164
Gauge symmetry breaking      109
Gibbs states      139
GNS representation      70
GNS theorem      70
Goldstone bosons      161
Goldstone theorem      161 162
Goldstone theorem, classical fields      45
Goldstone theorem, general proof for local fields      186
Goldstone theorem, GSW proof      185
Goldstone theorem, local relativistic fields      181
Goldstone theorem, mathematical discussion      174
Goldstone theorem, non-symmetric Hamiltonians      189
Goldstone theorem, non-zero temperature      177
Ground state, non symmetric      9
Ground state, uniqueness      96 103
Heisenberg algebra      67
Heisenberg ferromagnet, symmetry breaking      123
Higgs mechanism      164 186
Higgs mechanism and EDDG theorem      195
Higgs mechanism, non perturbative, Coulomb gauge      199
Higgs mechanism, non perturbative, local gauges      196
Higgs mechanism, perturbative approach      193
Hilbert space sector      23
HSS      23
Initial data, locally regular      18
Ising model      131
Ising model, Bogoliubov strategy      136
Ising model, cyclic boundary conditions      133
Ising model, free boundary conditions      132
Ising model, Goldstone strategy      136
Ising model, mean field approximation      136
Ising model, periodic boundary conditions      133
Ising model, Ruelle strategy      135
Ising model, symmetry breaking boundary conditions      135
Kink      40
KMS condition      139
KMS state      141
KMS state, extremal      149
KMS state, primary      147
Landau phonons      161
Lipschitz condition, local      19
Local algebra      90
Local observables      89
Local structure      21 89
Locality      90
Lower bound condition      20
Mean ergodic limit      100
Noether charge      35
Noether current      35
Noether theorem      16
Noether theorem and symmetry breaking      33
Non-Fock representation      81
Non-linear elliptic problem      58
Observables      68
Phase      74
Phase, pure      147
Phases      8 21
Physically realizable operations      89
Quasi-local algebra      90
Sector      22
Sector, physical      31 58
Sine — Gordon equation      42
Soliton      43
Spectral condition      95
Spin systems      105
Spin systems, short range interaction      110
Spontaneous symmetry breaking      9
Stability group of a sector      35
Stability under space translations      29 95
Stability under time evolution      24 91
State, mixed      69
State, pure      69
Swieca condition      168
Symmetries of classical systems      7
Symmetry      7
Symmetry breaking criterium, Bogoliubov non-perturbative strategy      130
Symmetry breaking criterium, Goldstone      127
Symmetry breaking in gauge theories      193
Symmetry breaking in quantum systems      115 118
Symmetry breaking in superconductivity      161
Symmetry breaking order parameter      120
Symmetry breaking, axial in QCD      204
Symmetry breaking, examples      39 42
Symmetry breaking, non perturbative Ruelle strategy      129
Symmetry, internal      14
Symmetry, local generation      165
Thermal states      139
Thermofield theory      159
Transfer matrix      133
Translationally invariant state,uniqueness      97
U(1) problem in QCD      204
Unitary implementation of symmetries      36
VACUUM      28 32
Vacuum sectors      31
von-Neumann bicommutant theorem      97
Wave equation, free propagator      51
Weyl algebra      67
Wigner symmetries      115
Wigner theorem      115
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