Preface for students |
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xi | |
Preface for instructors |
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xv | |
Acknowledgments |
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xx | |
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1 | (202) |
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Attempts at relativistic quantum mechanics |
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3 | (12) |
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Lorentz invariance (prerequisite: 1) |
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15 | (7) |
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Canonical quantization of scalar fields (2) |
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22 | (9) |
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The spin-statistics theorem (3) |
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31 | (4) |
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The LSZ reduction formula (3) |
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35 | (8) |
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Path integrals in quantum mechanics |
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43 | (7) |
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The path integral for the harmonic oscillator (6) |
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50 | (4) |
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The path integral for free field theory (3, 7) |
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54 | (4) |
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The path integral for interacting field theory (8) |
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58 | (15) |
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Scattering amplitudes and the Feynman rules (5, 9) |
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73 | (6) |
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Cross sections and decay rates (10) |
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79 | (11) |
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Dimensional analysis with h = c = 1 (3) |
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90 | (3) |
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The Lehmann-Kallen form of the exact propagator (9) |
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93 | (3) |
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Loop corrections to the propagator (10, 12, 13) |
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96 | (11) |
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The one-loop correction in Lehmann Kallen form (14) |
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107 | (4) |
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Loop corrections to the vertex (14) |
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111 | (4) |
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115 | (2) |
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Higher-order corrections and renormalizability (17) |
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117 | (4) |
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Perturbation theory to all orders (18) |
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121 | (2) |
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Two-particle elastic scattering at one loop (19) |
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123 | (4) |
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127 | (5) |
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Continuous symmetries and conserved currents (8) |
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132 | (8) |
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Discrete symmetries: P, T, C, and Z (22) |
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140 | (6) |
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Nonabelian symmetries (22) |
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146 | (4) |
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Unstable particles and resonances (14) |
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150 | (7) |
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Infrared divergences (20) |
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157 | (5) |
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Other renormalization schemes (26) |
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162 | (7) |
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The renormalization group (27) |
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169 | (7) |
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Effective field theory (28) |
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176 | (12) |
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Spontaneous symmetry breaking (21) |
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188 | (4) |
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Broken symmetry and loop corrections (30) |
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192 | (6) |
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Spontaneous breaking of continuous symmetries (22, 30) |
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198 | (5) |
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203 | (130) |
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Representations of the Lorentz group (2) |
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205 | (4) |
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Left- and right-handed spinor fields (3, 33) |
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209 | (7) |
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Manipulating spinor indices (34) |
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216 | (5) |
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Lagrangians for spinor fields (22, 35) |
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221 | (11) |
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Canonical quantization of spinor fields I (36) |
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232 | (5) |
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237 | (7) |
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Canonical quantization of spinor fields II (38) |
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244 | (8) |
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Parity, time reversal, and charge conjugation (23, 39) |
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252 | (9) |
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LSZ reduction for spin-one-half particles (5, 39) |
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261 | (6) |
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The free fermion propagator (39) |
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267 | (4) |
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The path integral for fermion fields (9, 42) |
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271 | (4) |
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Formal development of fermionic path integrals (43) |
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275 | (7) |
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The Feynman rules for Dirac fields (10, 12, 41, 43) |
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282 | (9) |
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291 | (3) |
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Gamma matrix technology (36) |
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294 | (4) |
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Spin-averaged cross sections (46, 47) |
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298 | (5) |
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The Feynman rules for Majorana fields (45) |
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303 | (5) |
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Massless particles and spinor helicity (48) |
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308 | (6) |
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Loop corrections in Yukawa theory (19, 40, 48) |
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314 | (10) |
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Beta functions in Yukawa theory (28, 51) |
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324 | (3) |
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Functional determinants (44, 45) |
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327 | (6) |
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333 | (303) |
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335 | (4) |
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Electrodynamics in Coulomb gauge (54) |
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339 | (5) |
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LSZ reduction for photons (5, 55) |
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344 | (5) |
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The path integral for photons (8, 56) |
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349 | (2) |
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Spinor electrodynamics (45, 57) |
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351 | (6) |
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Scattering in spinor electrodynamics (48, 58) |
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357 | (5) |
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Spinor helicity for spinor electrodynamics (50, 59) |
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362 | (9) |
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Scalar electrodynamics (58) |
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371 | (5) |
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Loop corrections in spinor electrodynamics (51, 59) |
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376 | (9) |
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The vertex function in spinor electrodynamics (62) |
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385 | (5) |
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The magnetic moment of the electron (63) |
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390 | (4) |
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Loop corrections in scalar electrodynamics (61, 62) |
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394 | (9) |
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Beta functions in quantum electrodynamics (52, 62) |
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403 | (5) |
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Ward identities in quantum electrodynamics I (22, 59) |
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408 | (4) |
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Ward identities in quantum electrodynamics II (63, 67) |
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412 | (4) |
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Nonabelian gauge theory (24, 58) |
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416 | (5) |
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Group representations (69) |
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421 | (9) |
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The path integral for nonabelian gauge theory (53, 69) |
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430 | (5) |
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The Feynman rules for nonabelian gauge theory (71) |
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435 | (4) |
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The beta function in nonabelian gauge theory (70, 72) |
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439 | (9) |
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448 | (8) |
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Chiral gauge theories and anomalies (70, 72) |
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456 | (12) |
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Anomalies in global symmetries (75) |
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468 | (4) |
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Anomalies and the path integral for fermions (76) |
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472 | (6) |
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Background field gauge (73) |
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478 | (8) |
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Gervais--Neveu gauge (78) |
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486 | (3) |
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The Feynman rules for N x N matrix fields (10) |
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489 | (6) |
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Scattering in quantum chromodynamics (60, 79, 80) |
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495 | (12) |
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Wilson loops, lattice theory, and confinement (29, 73) |
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507 | (9) |
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Chiral symmetry breaking (76, 82) |
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516 | (10) |
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Spontaneous breaking of gauge symmetries (32, 70) |
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526 | (5) |
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Spontaneously broken abelian gauge theory (61, 84) |
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531 | (7) |
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Spontaneously broken nonabelian gauge theory (85) |
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538 | (5) |
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The Standard Model: gauge and Higgs sector (84) |
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543 | (5) |
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The Standard Model: lepton sector (75, 87) |
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548 | (8) |
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The Standard Model: quark sector (88) |
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556 | (6) |
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Electroweak interactions of hadrons (83, 89) |
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562 | (10) |
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572 | (4) |
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Solitons and monopoles (84) |
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576 | (14) |
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Instantons and theta vacua (92) |
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590 | (11) |
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Quarks and theta vacua (77, 83, 93) |
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601 | (9) |
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610 | (12) |
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The Minimal Supersymmetric Standard Model (89, 95) |
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622 | (3) |
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625 | (11) |
Bibliography |
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636 | (1) |
Index |
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637 | |