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Quantum Field Theory

Quantum Field Theory

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  • Date Published: February 2007
  • availability: In stock
  • format: Hardback
  • isbn: 9780521864497

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  • Quantum 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.

    • A complete treatment of elementary particle theory from basics to advanced topics
    • Contains 250 exercises with solutions available to lecturers at www.cambridge.org/9780521864497
    • Presented in a logical sequence
    • Written in a flexible, modular format with fully self-contained chapters
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    Reviews & endorsements

    "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, supersymetry, 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

    "Over the years I have used parts of Srednicki's book to teach field theory to physics graduate students not specializing in particle physics. This is a vast subject, with many outstanding textbooks. Among these, Srednicki's stands out for its pedagogy. The subject is built logically, rather than historically. The exposition walks the line between getting the idea across and not shying away from a serious calculation. Path integrals enter early, and renormalization theory is pursued from the very start...By the end of the course the student should understand both beta functions and the Standard Model, and be able to carry through a calculation when a perturbative calculation is called for."
    Predrag Cvitanovic, Georgia Institute of Technology

    "This book should become a favorite of quantum field theory students and instructors. The approach is systematic and comprehensive, but the friendly and encouraging voice of the author comes through loud and clear to make the subject feel accessible. Many interesting examples are worked out in pedagogical detail."
    Ann Nelson, University of Washington

    "I expect that this will be the textbook of choice for many quantum field theory courses. The presentation is straightforward and readable, with the author's easy-going 'voice' coming through in his writing. The organization into a large number of short chapters, with the prerequisites for each chapter clearly marked, makes the book flexible and easy to teach from or to read independently. A large and varied collection of special topics is available, depending on the interests of the instructor and the student."
    Joseph Polchinski, University of California, Santa Barbara

    "This is an extraordinary book, a real gem. After a cursory glance, all will have the clear impression that this is a "revolutionary" book. In my opinion, this is simply the best QFT textbook ever written... it is absolutely invaluable."
    Giuseppe Nardelli, Mathematical Reviews

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    Product details

    • Date Published: February 2007
    • format: Hardback
    • isbn: 9780521864497
    • length: 660 pages
    • dimensions: 255 x 158 x 37 mm
    • weight: 1.45kg
    • contains: 90 b/w illus. 250 exercises
    • availability: In stock
  • Table of Contents

    Preface for students
    Preface for instructors
    Acknowledgements
    Part I. Spin Zero:
    1. Attempts at relativistic quantum mechanics
    2. Lorentz invariance
    3. Canonical quantization of scalar fields
    4. The spin-statistics theorem
    5. The LSZ reduction formula
    6. Path integrals in quantum mechanics
    7. The path integral for the harmonic oscillator
    8. The path integral for free field theory
    9. The path integral for interacting field theory
    10. Scattering amplitudes and the Feynman rules
    11. Cross sections and decay rates
    12. Dimensional analysis with ?=c=1
    13. The Lehmann-Källén form
    14. Loop corrections to the propagator
    15. The one-loop correction in Lehmann-Källén form
    16. Loop corrections to the vertex
    17. Other 1PI vertices
    18. Higher-order corrections and renormalizability
    19. Perturbation theory to all orders
    20. Two-particle elastic scattering at one loop
    21. The quantum action
    22. Continuous symmetries and conserved currents
    23. Discrete symmetries: P, T, C, and Z
    24. Nonabelian symmetries
    25. Unstable particles and resonances
    26. Infrared divergences
    27. Other renormalization schemes
    28. The renormalization group
    29. Effective field theory
    30. Spontaneous symmetry breaking
    31. Broken symmetry and loop corrections
    32. Spontaneous breaking of continuous symmetries
    Part II. Spin One Half:
    33. Representations of the Lorentz Group
    34. Left- and right-handed spinor fields
    35. Manipulating spinor indices
    36. Lagrangians for spinor fields
    37. Canonical quantization of spinor fields I
    38. Spinor technology
    39. Canonical quantization of spinor fields II
    40. Parity, time reversal, and charge conjugation
    41. LSZ reduction for spin-one-half particles
    42. The free fermion propagator
    43. The path integral for fermion fields
    44. Formal development of fermionic path integrals
    45. The Feynman rules for Dirac fields
    46. Spin sums
    47. Gamma matrix technology
    48. Spin-averaged cross sections
    49. The Feynman rules for majorana fields
    50. Massless particles and spinor helicity
    51. Loop corrections in Yukawa theory
    52. Beta functions in Yukawa theory
    53. Functional determinants
    Part III. Spin One:
    54. Maxwell's equations
    55. Electrodynamics in coulomb gauge
    56. LSZ reduction for photons
    57. The path integral for photons
    58. Spinor electrodynamics
    59. Scattering in spinor electrodynamics
    60. Spinor helicity for spinor electrodynamics
    61. Scalar electrodynamics
    62. Loop corrections in spinor electrodynamics
    63. The vertex function in spinor electrodynamics
    64. The magnetic moment of the electron
    65. Loop corrections in scalar electrodynamics
    66. Beta functions in quantum electrodynamics
    67. Ward identities in quantum electrodynamics I
    68. Ward identities in quantum electrodynamics II
    69. Nonabelian gauge theory
    70. Group representations
    71. The path integral for nonabelian gauge theory
    72. The Feynman rules for nonabelian gauge theory
    73. The beta function for nonabelian gauge theory
    74. BRST symmetry
    75. Chiral gauge theories and anomalies
    76. Anomalies in global symmetries
    77. Anomalies and the path integral for fermions
    78. Background field gauge
    79. Gervais-Neveu gauge
    80. The Feynman rules for N x N matrix fields
    81. Scattering in quantum chromodynamics
    82. Wilson loops, lattice theory, and confinement
    83. Chiral symmetry breaking
    84. Spontaneous breaking of gauge symmetries
    85. Spontaneously broken abelian gauge theory
    86. Spontaneously broken nonabelian gauge theory
    87. The standard model: Gauge and Higgs sector
    88. The standard model: Lepton sector
    89. The standard model: Quark sector
    90. Electroweak interactions of hadrons
    91. Neutrino masses
    92. Solitons and monopoles
    93. Instantons and theta vacua
    94. Quarks and theta vacua
    95. Supersymmetry
    96. The minimal supersymmetric standard model
    97. Grand unification
    Bibliography.

  • Resources for

    Quantum Field Theory

    Mark Srednicki

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  • Instructors have used or reviewed this title for the following courses

    • Advanced Quantum Mechanics
    • Advanced Quantum Mechanics 1
    • Basic Quantum Field Theory
    • Introduction to Quantum Field Theory
    • Particles and Fields
    • Quantum Electrodynamics
    • Relativistic Quantum Field Theory I
  • Author

    Mark Srednicki, University of California, Santa Barbara
    Mark Srednicki is Professor of Physics at the University of California, Santa Barbara. He gained his undergraduate degree from Cornell University in 1977, and received a PhD from Stanford University in 1980. Professor Srednicki has held postdoctoral positions at Princeton University and the European Organization for Nuclear Research (CERN).

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