Index
A
Algebra
local, 226
Algebraic symmetry, 77, 125
Algebra of canonical variables, 70
Algebra of observables, 70
Anderson model of superconductivity, 245
Anti-kink, 43
Anti-soliton, 45
Asymptotic abelianess, 97
Asymptotic localization, 97
Axial anomaly, 264
Axial curent
conserved, 264
B
BEH mechanism, 257
Bicommutant, 102
Bloch–Nordsieck model, 91
Bose–Einstein condensation symmetry
breaking, 121, 164
Bose–Eistein condensation, 113
Bose gas, 130
dynamical delocalization, 109
free, 113
Boundary conditions, 225
Boundary counter terms, 232
Boundary terms, 230
Boundary terms and Goldstone spectrum,
234
Breaking of Galilei group, 237
BRST quantization, 258
BRST transformations, 258
C
Cauchy problem, 12
global, 57
global existence and uniqueness, 25
small times, 55
Charge integrability, 174
Chiral symmetry, 263
Chiral symmetry of observables in QCD, 265
Classical field equations, 11
Classical source model, 90
Cluster property, 105
Continuous internal symmetry, 36
generator, 37
Coulomb systems, 172
Covariance group, 235
Covariance group of the dynamics, 235
Curie–Weiss model, 231, 246
D
Delocalization
central, 228
Delocalization, non-relativistic, 97
Disjoint physical world, 70
Disjoint realizations, 6, 21
Double well model, 6
Dynamical delocalization, 178, 226
Dynamical delocalization and interaction
range, 172
Dynamical generation of exact symmetries
by boundary effects, 247
Dynamics
essentially local, 228
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer
Nature Switzerland AG 2021
F. Strocchi, Symmetry Breaking, Theoretical and Mathematical Physics,
https://doi.org/10.1007/978-3-662-62166-0
283
A
Algebra
local, 226
Algebraic symmetry, 77, 125
Algebra of canonical variables, 70
Algebra of observables, 70
Anderson model of superconductivity, 245
Anti-kink, 43
Anti-soliton, 45
Asymptotic abelianess, 97
Asymptotic localization, 97
Axial anomaly, 264
Axial curent
conserved, 264
B
BEH mechanism, 257
Bicommutant, 102
Bloch–Nordsieck model, 91
Bose–Einstein condensation symmetry
breaking, 121, 164
Bose–Eistein condensation, 113
Bose gas, 130
dynamical delocalization, 109
free, 113
Boundary conditions, 225
Boundary counter terms, 232
Boundary terms, 230
Boundary terms and Goldstone spectrum,
234
Breaking of Galilei group, 237
BRST quantization, 258
BRST transformations, 258
C
Cauchy problem, 12
global, 57
global existence and uniqueness, 25
small times, 55
Charge integrability, 174
Chiral symmetry, 263
Chiral symmetry of observables in QCD, 265
Classical field equations, 11
Classical source model, 90
Cluster property, 105
Continuous internal symmetry, 36
generator, 37
Coulomb systems, 172
Covariance group, 235
Covariance group of the dynamics, 235
Curie–Weiss model, 231, 246
D
Delocalization
central, 228
Delocalization, non-relativistic, 97
Disjoint physical world, 70
Disjoint realizations, 6, 21
Double well model, 6
Dynamical delocalization, 178, 226
Dynamical delocalization and interaction
range, 172
Dynamical generation of exact symmetries
by boundary effects, 247
Dynamics
essentially local, 228
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer
Nature Switzerland AG 2021
F. Strocchi, Symmetry Breaking, Theoretical and Mathematical Physics,
https://doi.org/10.1007/978-3-662-62166-0
283