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Stone M. — The physics of quantum fields
Stone M. — The physics of quantum fields

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Название: The physics of quantum fields

Автор: Stone M.

Аннотация:

This book provides a gentle introduction to the physics of quantized fields and many-body physics. Based on courses taught at the University of Illinois, it concentrates on the basic conceptual issues that many students find difficult, and emphasizes the physical and visualizable aspects of the subject. While the text is intended for students with a wide range of interests, many of the examples are drawn from condensed matter physics because of the tangible character of such systems. The first part of the book uses the Hamiltonian operator language of traditional quantum mechanics to treat simple field theories and related topics, such as the Klein-Gordon equation, the Dirac equation, quantum electrodynamics, Fermi gases and liquids, and Bose condensates. The Feynman path integral is introduced in the second half where it is seen as an efficient generator Feynman rules and Ward identities, and is indispensable for understanding the connection between renormalization and critical phenomena, as well as non- perturbative phenomena.


Язык: en

Рубрика: Физика/Квантовая теория поля/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 270

Добавлена в каталог: 02.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\beta$-function      205
$\epsilon$-expansion      237
Abrikosov vortices      134
Absorbtive part      51
Analyticity      48
Angle-resolved photoemission      102
Annihilation operators      5 30
Anomalous dimension      219
Anticommuting c-numbers      81
Antiderivation      176
Antiparticle      77 78
Asymptotically free theory      229
Axial gauge      84
Bare field      70
Barotropic flow      134
BCS theory      179
Berezin integrals      171
Bernoulli equation      134
Block spins      208
Bogoliubov transformation      123
Bohm — Staver relation      115
Boltzmann equation      103
Borcher's class      71
Bose condensation      119
Breit — Wigner peak      56
Brueckner (or Bethe) Goldstone theorem      41
Campbell — Baker — Hausdorff      20 23
Canonical conjugate field      3
Canonical energy-momentum tensor      22
Casimir energy      10
Causality      51
Characteristic, differential equation of      228
Chirality      76
Circulation      133
Classical spins a      202
Clifford algebra      73
Cluster decomposition property      121
Coherent state      177
Complex fields      17
Compton wavelength      12
Conjugacy class      138
Continuum limit = critical point      206
Contraction      30 82
Convex hull      163
Cooper pairs      134 183
Correlators      63
Cosmological constant      10
CPT theorem      54
Creation operators      5 30
Critical point      206
Critical surface      211
Cross-section      44
Crossing symmetry      53
Cumulants      159
Current algebra      21
D'Alembert's paradox      132
Debye frequency      116
Debye — Hukel screening      106 108
Decomposable state      99
Derivation      176
Dimensional regularization      59
Dirac delta function      7
Dirac equation      72
Dirac sea      78 81 100 141
dispersion relation      66
Dyson approach      27
Effective action      181
Effective potential      161 162
Endpoint singularity      60
Equal-time commutator      3 9
Euclidean region      59
Euler equation      134
f-sum rule      67
Fermi gas      102
Fermi liquid      102
Fermi sea      100
Fermi statistics      89
Fermi surface      102 114 116
Fermi's "golden rule"      45
Fermion      78 79
Feynman diagrams      97
Feynman gauge      86
Feynman path integral      143 145
Feynman propagator      27 29
Feynman rules      37 42 88
Feynman — Kac formula      147 155
Feynman's trick      58
Fixed point      209
Fixed point, free-field fixed point      214
Fock space      7
Fourier transforms      8
Fractal      207
Frechet derivative      8
Fredholm determinant      154
Fresnel integral      145 146
Friedel oscillations      108
Furrey's theorem      89
Galilean transformation      129
Gauge invariance      83 148
Gauge transformation      83
Gaussian integral      153
Gell — Mann Low Theorem      62 204
Generating functional      159
Ghosts      86
Global transformations      20
Goldstone boson      169
Goldstone bosons      167
Goldstone's theorem      158 167
Grading      176
Grand canonical partition function      136
Grand potential      136 137 142
Grassmann variables      81 171 174 177
Green function      29 51
Gross — Pitaevskii equation      131
Ground-state energy      10
Gupta — Bleuler formalism      85
Harmonic crystal      2
Healing length      133
Heisenberg field      62
Heisenberg operator      4
Heisenberg picture      3 144
Helicity      76
Higgs — Kibble mechanism      132 170
hole      78
Holes      100
Hot dark matter      77
Imaginary part      48 55
In and out states      68
Inner product      17
Interaction picture interaction picture state      26
Interaction vertex      38
Interpolating field      69 71
Irreducible vertex      93
Irrelevant operator      26 102
Irrotational motion      132
Isospin      18
Isospin algebra      18
Jellium model      107
Kahler — Dirac      200
Kinematic invariants      43
Kirchhoff's rules      42
Klein — Gordon equation      13
Kogut — Susskind fermions      199
Lagrangian      2
Lagrangian density      10
Landau criterion      128 129
Landau damping      111
Landau — Cutkoski cutting formulae      51
Large N limit      238
Lehmann — Kallen      64 69
Lifetime      47 55
Lindhardfunction      106 108 111
Liquid 4He      117
Local transformations      20
London penetration depth      132
Long range-order      140
Lorentz gauge      85 86
Lorentz invariance      12
Lorentz-invariant Phase Space (LIPS)      15 45
Lorentzian inner product      14
LSZ (Lehman, Symanzik and Zimmerman      67—69
M0ller scattering      90
M0ller wave operators      63
Madelung transformation      132
Marginal operator      209 214
Mass-shell      28
Matsubara frequencies      140
Maxwell construction      163
Meissner effect      132 170
Method of characteristics      228
Midpoint rule      149
Momentum transfer      43
Mossbauer effect      34 35
Mutually local operators      71
Natural units      12
Negative frequency part      30
Noether's theorem      18
Nonrenormalizable interaction      26 209 214
Normal component      131
Normal products      27 30
Normal threshold      53
Occupation numbers      7
Off-diagonal long-range order (ODLRO)      120
Off-shell      28
One-particle density matrix      102
One-particle irreducible diagrams (1PI)      164
Optical theorem      48
Order parameter      120
Ouroboros graphs      56—58 165 190
Partition functions      136
Permutation      138
Perron — Frobenius theorem      119
Pfaffian      173
phase velocity      129
Phonons      7
Physical states      85 87
Pinch      193
Pinch singularity      60 193
Plasma frequency      109 110
Plasma oscillations      108
Plasmon      109
Poisson distribution      35
Polarization vectors      88
Polarized light      88
Positive frequency      16
Positive-energy      17
Principle of least action      8
Projection operators      80
Pseudomomentum      24 35
Quantum electrodynamics      83
Quantum pressure      134
Quasiparticles      102
Rapidity      246
Rayleigh — Schroedinger perturbation theory      49 50 89
Relevant operator      209 214
Renormalizable interaction      209
Renormalization group equation      205
Renormalized field      70
Resolution of unity      15
Resonance      44 54 55
Roton minimum      128
S (for scattering) matrix      37
s, t, and u channels      44
Scalar field      13
Scaling dimension      212 214
Schroedinger-picture      26 144
Schwarz reflection principle      53
Schwinger's trick      58
Second quantization      97
Self-energy diagram      32 41
Slater-determinant      99
Sound waves      124
Spectral weight p(m2)      65
Spin      13
Spinor field      13 77 254
Spontaneous symmetry breaking      10
Sum rule      65
Superfield      176
Superfluid mass density      131
Superfluid velocity      131
Superpotential      176
Superrenormalizable interaction      209
Supersymmetry      174
Symmetry factor      39 42
Target space      221
Tensor      97
Tensor product      6
Thomas — Fermi approximation      107
Thomas — Reiche — Kuhn sum rule      67
Time-dependent perturbation theory      26
Time-independent gauge transformation      84
Time-ordered exponential      27
Time-ordered products      27
Time-ordered vacuum expectation values (TVEV's)      71
Time-ordering symbol T      27
Top form      172
Trace-class      154
Two fluid model      131
Unitarity      48
Universality      211
Vacuum bubbles      39 41
Vacuum persistence amplitude      32
Vlasov equation      104
Wake, ship's      129
Ward identity      92 94
Wave function renormalization constant      41 65
Weak operator topology      69
Weyl basis      76
Weyl equation      76
Weyl fermions      76
Wick rotation      56 57 59 141
Wick's theorem      97
Wilson fermions      199
Wilson — Fisher fixed point      215
Yukawa potential      32 33
Zero sound      113 114
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