UID:
almafu_9960119240202883
Format:
1 online resource (xvii, 572 pages) :
,
digital, PDF file(s).
Edition:
1st ed.
ISBN:
1-316-04104-2
,
0-511-62261-9
Content:
This is a systematic presentation of quantum field theory from first principles, emphasizing both theoretical concepts and experimental applications. Starting from introductory quantum and classical mechanics, this book develops the quantum field theories that make up the 'Standard Model' of elementary processes. It derives the basic techniques and theorems that underly theory and experiment, including those that are the subject of theoretical development. Special attention is also given to the derivations of cross sections relevant to current high-energy experiments and to perturbative quantum chromodynamics, with examples drawn from electron-positron annihilation, deeply inelastic scattering and hadron-hadron scattering. The first half of the book introduces the basic ideas of field theory. The discussion of mathematical issues is everywhere pedagogical and self contained. Topics include the role of internal symmetry and relativistic invariance, the path integral, gauge theories and spontaneous symmetry breaking, and cross sections in the Standard Model and in the parton model. The material of this half is sufficient for an understanding of the Standard Model and its basic experimental consequences. The second half of the book deals with perturbative field theory beyond the lowest-order approximation. Exercises are included for each chapter, and several appendices complement the text.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
Cover -- Half-title -- Title -- Copyright -- Dedication -- Contents -- Preface -- Scalar Fields -- Classical fields and symmetries -- 1.1 Action principle -- 1.2 Relativistic scalar fields -- 1.3 Invariance and conservation -- 1.4 Lie groups and internal symmetries -- 1.5 The Poincaré group and its generators -- Exercises -- Canonical quantization -- 2.1 Canonical quantization of the scalar field -- 2.2 Quantum symmetries -- 2.3 The free scalar field as a system of harmonic oscillators -- 2.4 Particles and Green functions -- 2.5 Interacting fields and scattering -- Exercises -- Path integrals, perturbation theory and Feynman rules -- 3.1 The path integral -- 3.2 The path integral and coherent states -- 3.3 Coherent state construction of the path integral in field theory -- 3.4 Feynman diagrams and Feynman rules -- Exercises -- Scattering and cross sections for scalar fields -- 4.1 Diagrams in momentum space -- 4.2 The S-matrix -- 4.3 Cross sections -- 4.4 The charged scalar field -- Exercises -- Fields with Spin -- Spinors, vectors and gauge invariance -- 5.1 Representations of the Lorentz Group -- 5.2 Spinor equations and Lagrangians -- 5.3 Vector fields and Lagrangians -- 5.4 Interactions and local gauge invariance -- Exercises -- Spin and canonical quantization -- 6.1 Spin and the Poincaré group -- 6.2 Unitary representations of the Poincaré group -- 6.3 Solutions with mass -- 6.4 Massless solutions -- 6.5 Quantization -- 6.6 Parity and leptonic weak interactions -- Exercises -- Path integrals for fermions and gauge fields -- 7.1 Fermionic path integrals -- 7.2 Fermions in an external field -- 7.3 Gauge vectors and ghosts -- 7.4 Reduction formulas and cross sections -- Exercises -- Gauge theories at lowest order -- 8.1 Quantum electrodynamics and elastic fermion-fermion scattering -- 8.2 Cross sections with photons.
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8.3 Weak interactions of leptons -- 8.4 Quantum chromodynamics and quark-quark scattering -- 8.5 Gluons and ghosts -- 8.6 Parton-model interpretation of QCD cross sections -- Exercises -- Renormalization -- Loops, regularization and unitarity -- 9.1 One-loop example -- 9.2 Wick rotation in perturbation theory -- 9.3 Dimensional regularization -- 9.4 Poles at n = 4 -- 9.5 Time-ordered perturbation theory -- 9.6 Unitarity -- Exercises -- Introduction to renormalization -- 10.1 ϕ³₄ and mass renormalization -- 10.2 Power counting and renormalizability -- 10.3 One-loop counterterms for ϕ³₆ -- 10.4 Renormalization at two loops and beyond -- 10.5 Introduction to the renormalization group -- Exercises -- Renormalization and unitarity of gauge theories -- 11.1 Gauge theories at one loop -- 11.2 Renormalization and unitarity in QED -- 11.3 Ward identities and the S-matrix in QCD -- 11.4 The axial anomaly -- Exercises -- The Nature of Perturbative Cross Sections -- Perturbative corrections and the infrared problem -- 12.1 One-loop corrections in QED -- 12.2 Order-α infrared bremsstrahlung -- 12.3 Infrared divergences to all orders -- 12.4 Infrared safety and renormalization in QCD -- 12.5 Jet cross sections at order α s in e⁺e⁻ annihilation -- Exercises -- Analytic structure and infrared finiteness -- 13.1 Analytic structure of Feynman diagrams -- 13.2 The two-point function -- 13.3 Massless particles and infrared power counting -- 13.4 The three-point function and collinear power counting -- 13.5 The Kinoshita-Lee-Nauenberg theorem -- Exercises -- Factorization and evolution in high-energy scattering -- 14.1 Deeply inelastic scattering -- 14.2 Deeply inelastic scattering for massless quarks -- 14.3 Factorization and parton distributions -- 14.4 Evolution -- 14.5 The operator product expansion -- Exercises.
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Epilogue: Bound states and the limitations of perturbation theory -- Time evolution and the interaction picture -- Symmetry factors and generating functionals -- The standard model -- T, C and CPT -- The Goldstone theorem and π⁰ → 2γ -- Groups, algebras and Dirac matrices -- Cross sections and Feynman rules -- References -- Index.
,
English
Additional Edition:
ISBN 0-521-31132-2
Additional Edition:
ISBN 0-521-32258-8
Language:
English
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