Quantum Field Theory

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Mark SrednickiCambridge University Press, 1/25/2007EAN 9780521864497, ISBN10: 0521864496Hardcover, 660 pages, 24.7 x 17.4 x 3.7 cmLanguage: EnglishQuantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.Preface for studentsPreface for instructorsAcknowledgementsPart I. Spin Zero1. Attempts at relativistic quantum mechanics2. Lorentz invariance3. Canonical quantization of scalar fields4. The spin-statistics theorem5. The LSZ reduction formula6. Path integrals in quantum mechanics7. The path integral for the harmonic oscillator8. The path integral for free field theory9. The path integral for interacting field theory10. Scattering amplitudes and the Feynman rules11. Cross sections and decay rates12. Dimensional analysis with ?=c=113. The Lehmann-Källén form14. Loop corrections to the propagator15. The one-loop correction in Lehmann-Källén form16. Loop corrections to the vertex17. Other 1PI vertices18. Higher-order corrections and renormalizability19. Perturbation theory to all orders20. Two-particle elastic scattering at one loop21. The quantum action22. Continuous symmetries and conserved currents23. Discrete symmetriesP, T, C, and Z24. Nonabelian symmetries25. Unstable particles and resonances26. Infrared divergences27. Other renormalization schemes28. The renormalization group29. Effective field theory30. Spontaneous symmetry breaking31. Broken symmetry and loop corrections32. Spontaneous breaking of continuous symmetriesPart II. Spin One Half33. Representations of the Lorentz Group34. Left- and right-handed spinor fields35. Manipulating spinor indices36. Lagrangians for spinor fields37. Canonical quantization of spinor fields I38. Spinor technology39. Canonical quantization of spinor fields II40. Parity, time reversal, and charge conjugation41. LSZ reduction for spin-one-half particles42. The free fermion propagator43. The path integral for fermion fields44. Formal development of fermionic path integrals45. The Feynman rules for Dirac fields46. Spin sums47. Gamma matrix technology48. Spin-averaged cross sections49. The Feynman rules for majorana fields50. Massless particles and spinor helicity51. Loop corrections in Yukawa theory52. Beta functions in Yukawa theory53. Functional determinantsPart III. Spin One54. Maxwell's equations55. Electrodynamics in coulomb gauge56. LSZ reduction for photons57. The path integral for photons58. Spinor electrodynamics59. Scattering in spinor electrodynamics60. Spinor helicity for spinor electrodynamics61. Scalar electrodynamics62. Loop corrections in spinor electrodynamics63. The vertex function in spinor electrodynamics64. The magnetic moment of the electron65. Loop corrections in scalar electrodynamics66. Beta functions in quantum electrodynamics67. Ward identities in quantum electrodynamics I68. Ward identities in quantum electrodynamics II69. Nonabelian gauge theory70. Group representations71. The path integral for nonabelian gauge theory72. The Feynman rules for nonabelian gauge theory73. The beta function for nonabelian gauge theory74. BRST symmetry75. Chiral gauge theories and anomalies76. Anomalies in global symmetries77. Anomalies and the path integral for fermions78. Background field gauge79. Gervais-Neveu gauge80. The Feynman rules for N x N matrix fields81. Scattering in quantum chromodynamics82. Wilson loops, lattice theory, and confinement83. Chiral symmetry breaking84. Spontaneous breaking of gauge symmetries85. Spontaneously broken abelian gauge theory86. Spontaneously broken nonabelian gauge theory87. The standard modelGauge and Higgs sector88. The standard modelLepton sector89. The standard modelQuark sector90. Electroweak interactions of hadrons91. Neutrino masses92. Solitons and monopoles93. Instantons and theta vacua94. Quarks and theta vacua95. Supersymmetry96. The minimal supersymmetric standard model97. Grand unificationBibliography.'This accessible and conceptually structured introduction to quantum field theory will be of value not only to beginning students but also to practicing physicists interested in learning or reviewing specific topics. The book is organized in a modular fashion, which makes it easy to extract the basic information relevant to the reader's area(s) of interest. The material is presented in an intuitively clear and informal style. Foundational topics such as path integrals and Lorentz representations are included early in the exposition, as appropriate for a modern course; later material includes a detailed description of the Standard Model and other advanced topics such as instantons, supersymmetry, and unification, which are essential knowledge for working particle physicists, but which are not treated in most other field theory texts.' Washington Taylor, Massachusetts Institute of Technology Show more