Gauge Theories in Particle Physics: Volume I: From Relativistic Quantum Mechanics to QED, Third EditionCRC Press, 1 de set. 2002 - 422 pàgines Gauge Theories in Particle Physics, Volume 1: From Relativistic Quantum Mechanics to QED, Third Edition presents an accessible, practical, and comprehensive introduction to the three gauge theories of the standard model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the electroweak theory. For each of them, the authors provide a thorough discussion of the main conceptual points, a detailed exposition of many practical calculations of physical quantities, and a comparison of these quantitative predictions with experimental results. For this two-volume third edition, much of the book has been rewritten to reflect developments over the last decade, both in the curricula of university courses and in particle physics research. Substantial new material has been introduced that is intended for use in undergraduate physics courses. New introductory chapters provide a precise historical account of the properties of quarks and leptons, and a qualitative overview of the quantum field description of their interactions, at a level appropriate to third year courses. The chapter on relativistic quantum mechanics has been enlarged and is supplemented by additional sections on scattering theory and Green functions, in a form appropriate to fourth year courses. Since precision experiments now test the theories beyond lowest order in perturbation theory, an understanding of the data requires a more sophisticated knowledge of quantum field theory, including ideas of renormalization. The treatment of quantum field theory has therefore been considerably extended so as to provide a uniquely accessible and self-contained introduction to quantum field dynamics, as described by Feynman graphs. The level is suitable for advanced fourth year undergraduates and first year graduates. These developments are all contained in the first volume, which ends with a discussion of higher order corrections in QED; the second volume is devoted to the non-Abelian gauge theories of QCD and the electroweak theory. As in the first two editions, emphasis is placed throughout on developing realistic calculations from a secure physical and conceptual basis. |
Continguts
QUARKS AND LEPTONS | 3 |
from atoms to quarks | 5 |
122 Nuclei nucleons | 8 |
123 Nucleons quarks | 12 |
13 The generations and flavours of quarks and leptons | 18 |
132 Quark flavour | 21 |
PARTICLE INTERACTIONS IN THE STANDARD MODEL | 28 |
22 The Yukawa theory of force as virtual quantum exchange | 30 |
822 Coulomb scattering of e fieldtheoretic approach | 213 |
823 Trace techniques for spin summations | 214 |
824 Coulomb scattering of e+ | 217 |
83 es+ scattering | 218 |
832 The cross section for es+ es+ | 223 |
the pion form factor in | 225 |
842 Lorentz invariance | 227 |
843 Current conservation | 228 |
23 The onequantum exchange amplitude | 34 |
24 Electromagnetic interactions | 35 |
25 Weak interactions | 37 |
26 Strong interactions | 40 |
27 Gravitational interactions | 44 |
28 Summary | 48 |
Problems | 49 |
ELECTROMAGNETISM AS A GAUGE THEORY | 53 |
current conservation | 54 |
Lorentz covariance and gauge invariance | 56 |
34 Gauge invariance and covariance in quantum mechanics | 60 |
the gauge principle | 63 |
36 Comments on the gauge principle in electromagnetism | 67 |
Problems | 73 |
RELATIVISTIC QUANTUM MECHANICS | 74 |
411 Solutions in coordinate space | 75 |
412 Probability current for the KG equation | 76 |
42 The Dirac equation | 77 |
421 Freeparticle solutions | 80 |
422 Probability current for the Dirac equation | 81 |
43 Spin | 82 |
44 Lorentz transformation properties of spinors | 85 |
45 The negativeenergy solutions | 91 |
451 Positiveenergy spinors | 92 |
453 Diracs interpretation of the negativeenergy solutions of the Dirac equation | 93 |
454 Feynmans interpretation of the negativeenergy solutions of the KG and Dirac equations | 95 |
the Dirac prediction of g 2 for the electron | 98 |
Problems | 101 |
QUANTUM FIELD THEORY I THE FREE SCALAR FIELD | 109 |
ii LagrangeHamilton formulation | 119 |
522 Quantum mechanics à la HeisenbergLagrangeHamilton | 122 |
the quantum oscillator | 124 |
524 LagrangeHamilton classical field mechanics | 127 |
525 HeisenbergLagrangeHamilton quantum field mechanics | 129 |
four dimensions relativity and mass | 136 |
Problems | 139 |
QUANTUM FIELD THEORY II INTERACTING SCALAR FIELDS | 141 |
the Dyson expansion of the Smatrix | 144 |
621 The interaction picture | 145 |
622 The Smatrix and the Dyson expansion | 147 |
63 Applications to the ABC theory | 150 |
631 The decay C A + B | 151 |
the amplitudes | 155 |
the Yukawa exchange mechanism s and u channel processes | 164 |
the differential cross section | 166 |
loose ends | 168 |
Problems | 171 |
QUANTUM FIELD THEORY III COMPLEX SCALAR FIELDS DIRAC AND MAXWELL FIELDS INTRODUCTION OF ELECTROMAGNETIC I... | 173 |
global UI phase invariance particles and antiparticles | 174 |
72 The Dirac field and the spinstatistics connection | 181 |
731 The classical field case | 186 |
732 Quantizing A𝝁x | 189 |
74 Introduction of electromagnetic interactions | 195 |
Problems | 200 |
ELEMENTARY PROCESSES IN SCALAR AND SPINOR ELECTRODYNAMICS | 205 |
812 Coulomb scattering of s+ fieldtheoretic approach | 208 |
813 Coulomb scattering of s | 209 |
82 Coulomb scattering of charged spin½ particles | 210 |
e+e 𝞹+𝞹 and crossing symmetry | 230 |
86 Electron Compton scattering | 233 |
862 Gauge invariance | 234 |
863 The Compton cross section | 235 |
87 Electron muon elastic scattering | 237 |
88 Electronproton elastic scattering and nucleon form factors | 240 |
881 Lorentz invariance | 241 |
Problems | 244 |
DEEP INELASTIC ELECTRONNUCLEON SCATTERING AND THE QUARK PARTON MODEL | 249 |
92 Bjorken scaling and the parton model | 252 |
93 The quark parton model | 260 |
94 The DrellYan process | 262 |
e+e annihilation into hadrons | 267 |
Problems | 272 |
LOOPS AND RENORMALIZATION I THE ABC THEORY | 279 |
101 The propagator correction in ABC theory | 280 |
1012 Mass shift | 287 |
1013 Field strength renormalization | 288 |
102 The vertex correction | 291 |
a simple example | 293 |
1032 Regularization and renormalization | 296 |
104 Bare and renormalized perturbation theory | 297 |
how counter terms are determined by renormalization conditions | 300 |
105 Renormalizability | 303 |
Problems | 304 |
LOOPS AND RENORMALIZATION II QED | 306 |
112 The Oe² fermion selfenergy | 308 |
113 The Oe² photon selfenergy | 309 |
1 14 The Oe² renormalized photon selfenergy | 312 |
115 The physics of 𝞹y2q² | 314 |
1151 Modified Coulombs law | 315 |
1152 Radiatively induced charge form factor | 317 |
1 154 𝞹y2 in the schannel | 322 |
1 16 The Oe² vertex correction and Z₁ Z₂ | 323 |
117 The anomalous magnetic moment and tests of QED | 326 |
118 Which theories are renormalizableand does it matter? | 329 |
Problems | 336 |
Nonrelativistic Quantum Mechanics | 338 |
Natural Units | 342 |
Maxwells Equations Choice of Units | 345 |
Special Relativity Invariance and Covariance | 347 |
Dirac 𝛿5Function | 352 |
Contour Integration | 360 |
Green Functions | 366 |
Elements of Nonrelativistic Scattering Theory | 372 |
Born approximation | 374 |
H3 Timedependent approach | 375 |
The Schrödinger and Heisenberg Pictures | 377 |
Dirac Algebra and Trace Identities | 379 |
J13 Hermitian conjugate of spinor matrix elements | 380 |
J2 Trace theorems | 381 |
Example of a Cross Section Calculation | 383 |
K1 The spinaveraged squared matrix element | 385 |
Feynman Rules for Tree Graphs in QED | 389 |
L2 Propagators | 390 |
391 | |
395 | |
Altres edicions - Mostra-ho tot
Gauge Theories in Particle Physics: Volume I: From Relativistic Quantum ... I.J.R. Aitchison,A.J.G. Hey Previsualització limitada - 2002 |
Gauge Theories in Particle Physics: A Practical Introduction Ian Johnston Rhind Aitchison,Anthony J. G. Hey Visualització de fragments - 1982 |
Gauge Theories in Particle Physics: Volume I: From Relativistic Quantum ... I.J.R. Aitchison,A.J.G. Hey Previsualització no disponible - 2002 |
Frases i termes més freqüents
4-momentum 4-vector 8-function amplitude anti-particle appendix atoms calculation chapter charge classical commutation relations components conservation consider constant correction corresponding counter terms covariant cross section d³k defined degrees of freedom diagrams dimensions Dirac equation divergences eigenvalues elastic scattering electromagnetic interactions electron energy evaluate example fermion Feynman finite form factor function gauge invariance gauge theories hadrons Hamiltonian integral Lagrangian lepton loop Lorentz invariance Lorentz transformation mass massless matrix element Maxwell Maxwell equations mode momentum negative-energy neutrino non-relativistic normalization nucleons one-loop operator oscillator particle parton perturbation theory ph,C phase photon physical point-like potential problem propagator quantity quantized quantum field theory quantum mechanics quantum number quark relativistic renormalizable renormalization result scalar field Schrödinger shown in figure solutions spin spinor Standard Model symmetry tensor variables vector Verify vertex wavefunction weak interactions Yukawa
Referències a aquest llibre
The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond S. Succi Previsualització limitada - 2001 |