A modern introduction to quantum field theory

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A modern introduction to quantum field theory / Michele Maggiore

資料種別:: 電子ブック
出版情報:: [Ann Arbor, Mich.] : ProQuest Ebook Central
[Oxford] : Oxford University Press, [20--]
形態:: 1 online resource
シリーズ名:: Oxford master series in statistical, computational, and theoretical physics ; 12 <BA70162281>
著者名:: Maggiore, Michele
ISBN:: 9780191523397 [0191523399] (: electronic bk)
書誌ID:: TT00018406

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注記:

Includes bibliographical references and index
Print published: Oxford : Oxford University Press , 2005
Description based on online resource; title from digital title page (viewed on November 10, 2020)

主題:

量子力学．量子論

言語:

英語

目次情報:

Preface

Notation

Introduction / 1：

Overview / 1.1：

Typical scales in high-energy physics / 1.2：

Further reading

Exercises

Lorentz and Poincare symmetries in QFT / 2：

Lie groups / 2.1：

The Lorentz group / 2.2：

The Lorentz algebra / 2.3：

Tensor representations / 2.4：

Decomposition of Lorentz tensors under SO(3) / 2.4.1：

Spinorial representations / 2.5：

Spinors in non-relativistic quantum mechanics / 2.5.1：

Spinors in the relativistic theory / 2.5.2：

Field representations / 2.6：

Scalar fields / 2.6.1：

Weyl fields / 2.6.2：

Dirac fields / 2.6.3：

Majorana fields / 2.6.4：

Vector fields / 2.6.5：

The Poincare group / 2.7：

Representation on fields / 2.7.1：

Representation on one-particle states / 2.7.2：

Summary of chapter

Classical field theory / 3：

The action principle / 3.1：

Noether's theorem / 3.2：

The energy-momentum tensor / 3.2.1：

Real scalar fields; Klein-Gordon equation / 3.3：

Complex scalar field; U(1) charge / 3.3.2：

Spinor fields / 3.4：

The Weyl equation; helicity / 3.4.1：

The Dirac equation / 3.4.2：

Chiral symmetry / 3.4.3：

Majorana mass / 3.4.4：

The electromagnetic field / 3.5：

Covariant form of the free Maxwell equations / 3.5.1：

Gauge invariance; radiation and Lorentz gauges / 3.5.2：

Minimal and non-minimal coupling to matter / 3.5.3：

First quantization of relativistic wave equations / 3.6：

Solved problems / 3.7：

The fine structure of the hydrogen atom

Relativistic energy levels in a magnetic field

Quantization of free fields / 4：

Real scalar fields. Fock space / 4.1：

Complex scalar field; antiparticles / 4.1.2：

Spin 1/2 fields / 4.2：

Dirac field / 4.2.1：

Massless Weyl field / 4.2.2：

C, P, T / 4.2.3：

Electromagnetic field / 4.3：

Quantization in the radiation gauge / 4.3.1：

Covariant quantization / 4.3.2：

Perturbation theory and Feynman diagrams / 5：

The S-matrix / 5.1：

The LSZ reduction formula / 5.2：

Setting up the perturbative expansion / 5.3：

The Feynman propagator / 5.4：

Wick's theorem and Feynman diagrams / 5.5：

A few very explicit computations / 5.5.1：

Loops and divergences / 5.5.2：

Summary of Feynman rules for a scalar field / 5.5.3：

Feynman rules for fermions and gauge bosons / 5.5.4：

Renormalization / 5.6：

Vacuum energy and the cosmological constant problem / 5.7：

The modern point of view on renormalizability / 5.8：

The running of coupling constants / 5.9：

Cross-sections and decay rates / 6：

Relativistic and non-relativistic normalizations / 6.1：

Decay rates / 6.2：

Cross-sections / 6.3：

Two-body final states / 6.4：

Resonances and the Breit-Wigner distribution / 6.5：

Born approximation and non-relativistic scattering / 6.6：

Three-body kinematics and phase space / 6.7：

Inelastic scattering of non-relativistic electrons on atoms

Quantum electrodynamics / 7：

The QED Lagrangian / 7.1：

One-loop divergences / 7.2：

e[superscript +]e[superscript -] to [gamma] to [mu superscript +] [mu superscript -] / 7.3：

Electromagnetic form factors

The low-energy limit of the electroweak theory / 8：

A four-fermion model / 8.1：

Charged and neutral currents in the Standard Model / 8.2：

Solved problems: weak decays / 8.3：

[mu superscript -] to e[superscript - nu subscript e nu subscript mu]

[pi superscript +] to l[superscript + nu subscript l]

Isospin and flavor SU (3)

K[superscript 0] to [pi superscript -]l[superscript + nu subscript l]

Path integral quantization / 9：

Path integral formulation of quantum mechanics / 9.1：

Path integral quantization of scalar fields / 9.2：

Perturbative evaluation of the path integral / 9.3：

Euclidean formulation / 9.4：

QFT and critical phenomena / 9.5：

QFT at finite temperature / 9.6：

Instantons and tunneling / 9.7：

Non-abelian gauge theories / 10：

Non-abelian gauge transformations / 10.1：

Yang-Mills theory / 10.2：

QCD / 10.3：

Fields in the adjoint representation / 10.4：

Spontaneous symmetry breaking / 11：

Degenerate vacua in QM and QFT / 11.1：

SSB of global symmetries and Goldstone bosons / 11.2：

Abelian gauge theories: SSB and superconductivity / 11.3：

Non-abelian gauge theories: the masses of W[superscript plus or minus] and Z[superscript 0] / 11.4：

Solutions to exercises / 12：

Chapter 1 / 12.1：

Chapter 2 / 12.2：

Chapter 3 / 12.3：

Chapter 4 / 12.4：

Chapter 5 / 12.5：

Chapter 6 / 12.6：

Chapter 7 / 12.7：

Chapter 8 / 12.8：

Bibliography

Preface

Notation

Introduction / 1：

Overview / 1.1：

Typical scales in high-energy physics / 1.2：

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