标准模型动力学

Preface

ⅠInputs to the Standard Model

Ⅰ.1 Quarks mad leptons

Ⅰ.2 Chiral fermions

The massless limit

Parity, time reversal, and charge conjugation

Ⅰ.3 Symmetries and near symmetries

Noether currents

Examples of Noether currents

Approximate symmetry

Ⅰ.4 Gauge symmetry

Abelian case

Nonabelian case

Mixed case

Ⅰ.5 On the fate of symmetries

Hidden symmetry

Spontaneous symmetry breaking in the sigma model

Ⅱ Interactions of the Standard Model

Ⅱ.1 Quantum Electrodynamics

U(1) gauge symmetry

QED to one loop

On-shell renormalization of the electric charge

Electric charge as a running coupling constant

Ⅱ.2 Quantum Chromodynamics

SU(3) gauge symmetry

QCD to one loop

Asymptotic freedom and renormalization group

Ⅱ.3 Electroweak interactions

Weak isospin and weak hypercharge assignments

SU(2) L x U(1)y gauge-invariant lagrangian

Spontaneous symmetry breaking

Electroweak currents

Ⅱ.4 Fermion mixing

Diagonalization of mass matrices

Quark mixing

CP-violation and rephasing-invariants

Ⅲ Symmetries and anomalies

Ⅲ.1 Symmetries of the Standard Model

Ⅲ.2 Path integrals and symmetries

The generating functional

Noether's theorem and path integrals

Ⅲ.3 The U(1) axial anomaly

Diagrammatic analysis

Path integral analysis

Ⅲ.4 Classical scale invariance and the trace anomaly

Ⅲ.5 Chiral anomalies and vacuum structure

The 8-vacuum

The 0-term

Connection with chiral rotations

Ⅳ Introduction to effective lagrangians

Ⅳ.1 Nonlinear lagrangians and the sigma model

Representations of the sigma model

Representation independence

Ⅳ.2 Integrating out heavy fields

The decoupling theorem

Integrating out heavy fields at tree level

Ⅳ.3 The low energy expansion

Expansion in energy

Loops

Weinberg's power counting theorem

Ⅳ.4 Symmetry breaking

Ⅳ.5 PCAC

The soft-pion theorem

Ⅳ.6 Matrix elements of currents

Matrix elements and the effective action

Ⅳ.7 Heavy particles in effective lagrangians

Ⅳ.8 Effective lagrangians in QED

Ⅳ.9 Effective lagrangians as probes of new physics

Ⅴ Leptons

Ⅴ.1 The electron

……

Ⅵ Very low energy QCD-pions and photons

Ⅶ Introducing kaons and etas

Ⅷ Kaons and the △S=1 interaction

Ⅸ Kaon mixing and CP violation

Ⅹ The N-1 expansion

Ⅺ Phenomenological models

Ⅻ Baryon properties

ⅫⅠ Hadron spectroscopy

ⅩⅣ Weak interactions of heavy quarks

ⅩⅤ The higgs boson

ⅩⅥ THe electroweak gauge bosons

A Appendix-Functional integration

B Appendix-Some field theoretic methods

C Appendix-Useful formulae

References

Index

This book describes the practical techniques for connecting the phenomenology of particle physics with the accepted modern theory known as the 'Standard Model'. The Standard Model of elementary particle interactions is the outstanding achievement of the past forty years of experimental and theoretical activity in particle physics. This book gives a detailed account of the Standard Model, focussing on the techniques by which the model can produce information about real observed phenomena. The text opens with a pedagogic account of the theory of the Standard Model. Introductions to the essential calculation techniques needed, including effective lagrangian techniques and path integral methods, are included. The major part of the text is concerned with the use of the Standard Model in the calculation of physical properties of particles. Rigorous and reliable methods (radiative corrections and nonperturbative techniques based on symmetries and anomalies) are emphasized, but other useful models (such as the quark and Skyrme models) are also described. The strong and electroweak interactions are not treated as independent threads, but rather are woven together into a unified phenomenological fabric. Manyexercises and diagrams are included.