Elementary particle physics : the standard theory / John Iliopoulos, Theodore N. Tomaras.

Format:

Book

Author/Creator:

Iliopoulos, John, 1940- author.

Tomaras, Theodore N., author.

Series:

Oxford scholarship online.

Oxford scholarship online

Language:

English

Subjects (All):

Particles (Nuclear physics).

Elementary Particles.

Physical Description:

1 online resource (529 pages)

Place of Publication:

New York, New York : Oxford University Press, [2021]

Summary:

This engaging introduction to the latest theoretical advances and experimental discoveries in elementary particle physics, culminating in the development of the 'Standard Model', makes this fascinating subject accessible to undergraduate students and aims at motivating them to study it further.

Contents:

Cover

Elementary Particle Physics

Copyright

Contents

1 Introduction

2 Quantisation of the Electromagnetic Field and Spontaneous Photon Emission

2.1 Introduction

2.2 The Principle of Canonical Quantisation

2.3 The Quantum Theory of Radiation

2.3.1 Maxwell's theory as a classical field theory

2.3.2 Quantum theory of the free electromagnetic field-photons

2.4 Interaction of Atoms and Radiation

2.4.1 The Hamiltonian

2.4.2 Elements of perturbation theory

2.4.3 The transition probability

2.4.4 Application to the problem of spontaneous emission

2.5 Problems

3 Elements of Classical Field Theory

3.1 Introduction

3.2 Lagrangian and Hamiltonian Mechanics

3.3 Classical Field Theory

3.4 Problems

4 Scattering in Classical and Quantum Physics

4.1 Introduction

4.2 The Scattering Cross Section

4.3 Collisions in Non-Relativistic Quantum Mechanics

4.3.1 The range and the strength of the interactions

4.3.2 Potential scattering

4.4 Problems

5 Elements of Group Theory

5.1 Introduction

5.2 Groups and Representations

5.3 Lie Groups

5.4 Lie Algebras

5.5 Examples of Lie Groups and their Algebras

5.5.1 The group U(1)

5.5.2 The group SU(2)

5.5.3 The group O(3)

5.5.4 The group SU(3)

5.6 The Lorentz and Poincaré Groups

5.6.1 The Lorentz group

5.6.2 The Poincaré group

5.7 The Space of Physical States

5.7.1 Introduction

5.7.2 Particle states

5.7.3 The Fock space

5.7.4 Action of internal symmetry transformations on F

5.7.5 Action of Poincaré transformations on F

5.8 Problems

6 Particle Physics Phenomenology

6.1 Introduction

6.2 Rutherford and the Atomic Nucleus

6.3 β-Decay and the Neutrino

6.4 1932: The First Table of Elementary Particles

6.4.1 Everything is simple

6.4.2 Conservation laws - baryon and lepton number.

6.4.3 The four fundamental interactions

6.5 Heisenberg and the Symmetries of Nuclear Forces

6.6 Fermi and the Weak Interactions

6.7 The Muon and the Pion

6.8 From Cosmic Rays to Particle Accelerators

6.8.1 Introduction

6.8.2 Electrostatic accelerators

6.8.3 Linear accelerators

6.8.4 Cyclotrons

6.8.5 Colliders

6.9 The Detectors

6.9.1 Introduction

6.9.2 Bubble chambers

6.9.3 Counters

6.10 New Elementary Particles and New Quantum Numbers

6.10.1 Unstable particles

6.10.2 Resonances

6.10.3 SU(2) as a classification group for hadrons

6.10.4 Strange particles

6.11 The Eightfold Way and the Quarks

6.11.1 From SU(2) to SU(3)

6.11.2 The arrival of the quarks

6.11.3 The breaking of SU(3)

6.11.4 Colour

6.12 The Present Table of Elementary Particles

6.13 Problems

7 Relativistic Wave Equations

7.1 Introduction

7.2 The Klein-Gordon Equation

7.2.1 The Green's functions

7.2.2 Generalisations

7.3 The Dirac Equation

7.3.1 Introduction

7.3.2 Weyl and Majorana equations

7.3.3 The Dirac equation

7.3.4 The γ matrices

7.3.5 The conjugate equation

7.3.6 The standard representation

7.3.7 Lagrangian, Hamiltonian and Green functions

7.3.8 The plane wave solutions

7.4 Relativistic Equations for Vector Fields

7.4.1 The Maxwell field

7.4.2 Massive spin-1 field

7.4.3 Plane wave solutions

7.5 Problems

8 Towards a Relativistic Quantum Mechanics

8.1 Introduction

8.2 The Klein-Gordon Equation

8.3 The Dirac Equation

8.3.1 Introduction

8.3.2 The conserved current

8.3.3 The coupling with the electromagnetic field

8.3.4 The non-relativistic limit of the Dirac equation

8.3.5 Negative energy solutions

8.3.6 Charge conjugation

8.3.7 CPT symmetry

8.3.8 Chirality

8.3.9 Hydrogenoid systems

8.4 Problems.

9 From Classical to Quantum Mechanics

9.1 Introduction

9.2 Quantum Mechanics and Path Integrals

9.2.1 The Feynman postulate

9.2.2 Recovering quantum mechanics

9.3 Problems

10 From Classical to QuantumFields. Free Fields

10.1 Introduction

10.2 The Klein-Gordon Field

10.2.1 The canonical quantisation

10.2.2 The path integral quantisation

10.3 The Dirac Field

10.3.1 The canonical quantisation

10.3.2 The path integral quantisation

10.4 The Maxwell Field

10.4.1 The canonical quantisation

10.4.2 The path integral quantisation

10.5 Massive Spin-1 Fields

10.6 Problems

11 Interacting Fields

11.1 Introduction - The Axioms of Quantum Field Theory

11.2 General Results: Invariance under CPT and the Spin-Statistics Theorem

11.2.1 The CPT theorem

11.2.2 The spin-statistics theorem

11.3 Examples of Interacting Theories

11.4 Interacting Quantum Field Theories

11.5 The Perturbation Expansion

11.5.1 The configuration space Feynman rules

11.5.2 The momentum space Feynman rules

11.5.3 Feynman rules for quantum electrodynamics

11.5.4 Feynman rules for other theories

11.6 Problems

12 Scattering in Quantum Field Theory

12.1 The Asymptotic Theory

12.1.1 The asymptotic states

12.1.2 The asymptotic fields

12.2 The Reduction Formula

12.3 The Feynman Rules for the Scattering Amplitude

12.3.1 One scalar field

12.3.2 Quantum electrodynamics

12.4 The Transition Probability

12.4.1 The cross section

12.4.2 The decay rate

12.5 Examples

12.5.1 The electron Compton scattering

12.5.2 The electron-positron annihilation into a muon pair

12.5.3 The charged pion decay rate

12.6 Problems

13 Gauge Interactions

13.1 The Abelian Case

13.2 Non-Abelian Gauge Invariance and Yang-Mills Theories

13.2.1 Quantisation of Yang-Mills theories.

13.2.2 Feynman rules for Yang-Mills theories

13.3 Gauge Theories on a Space-Time Lattice

13.4 Brief Historical Notes

13.5 Problems

14 Spontaneously Broken Symmetries

14.1 Introduction

14.2 Global Symmetries

14.2.1 Simple examples

14.2.2 A field theory model

14.2.3 Goldstone theorem

14.3 Gauge Symmetries

14.3.1 The Abelian model

14.3.2 The non-Abelian case

14.4 Problems

15 The Principles of Renormalisation

15.1 The Need for Renormalisation

15.2 The Theory of Renormalisation

15.2.1 The power counting

15.2.2 Regularisation

15.2.3 Renormalisation

15.3 The Renormalisation Group

15.3.1 Renormalisation group in dimensional regularisation

15.4 Problems

16 The Electromagnetic Interactions

16.1 Introduction

16.2 Quantum Electrodynamics

16.3 Problems

17 Infrared Effects

17.1 Introduction

17.2 Examples of Infrared Divergent Terms in Perturbation Theory

17.3 Infrared Phenomena in QED

17.3.1 Tree-level (O(α2)) electron Coulomb scattering

17.3.2 One-loop corrections to the electron Coulomb scattering

17.3.3 Infrared divergence of the photon emission amplitude

17.3.4 The O(α3) measured cross section is infrared finite

17.4 The Summation to All Orders

17.5 The QED Asymptotic Theory Revisited

17.5.1 The Faddeev-Kulish dressed electron states

17.5.2 Coulomb scattering of a dressed electron

17.6 Problems

18 The Weak Interactions

18.1 Introduction

18.2 The Fermi Theory

18.3 Parity Violation

18.4 Vector vs Scalar: The Neutrino Helicity

18.5 The V-A Theory

18.6 Leptonic Interactions

18.6.1 Muon decay

18.6.2 Other purely leptonic weak processes

18.7 Semi-Leptonic Interactions

18.7.1 Strangeness conserving semi-leptonic weak interactions

18.7.2 Strangeness violating semi-leptonic weak interactions.

18.8 Purely Hadronic Weak Interactions

18.9 The Intermediate Vector Boson (IVB) Hypothesis

18.10 Charged and Neutral Currents

18.11 CP Violation

18.12 Problems

19 A Gauge Theory for the Weak and Electromagnetic Interactions

19.1 Introduction

19.2 The Rules of Model Building

19.3 The Lepton World

19.4 Extension to Hadrons

19.5 Problems

20 Neutrino Physics

20.1 A Blessing and a Curse

20.1.1 The first neutrino beams

20.1.2 Gargamelle and the neutral currents

20.1.3 Very high energy neutrino beams

20.2 Neutrino Masses and Oscillations

20.2.1 Introduction

20.2.2 Experimental evidence for neutrino oscillations

20.2.3 The neutrino mass matrix

20.2.4 Neutrinoless double β decay

20.3 Problems

21 The Strong Interactions

21.1 Strong Interactions are Complicated

21.2 Strong Interactions are Simple

21.3 Asymptotic Freedom

21.4 Quantum Chromodynamics

21.4.1 Quantum chromodynamics in perturbation theory

21.4.2 Quantum chromodynamics and hadronic physics

21.5 Problems

22 The Standard Model and Experiment

22.1 A Unified Picture

22.2 Classic Experiments

22.2.1 Experimental discovery of charmed particles

22.2.2 Stochastic cooling and the discovery of W± and Z

22.2.3 The discovery of the heavy quarks and of the Brout-Englert-Higgs boson

22.3 Hadron Spectroscopy

22.4 The Cabibbo-Kobayashi-Maskawa Matrix and CP Violation

22.4.1 The matrix elements

22.4.2 Unitarity

22.4.3 CP violation

22.5 The Neutrino Matrix and CP Violation

22.6 Questions of Flavour

22.6.1 A brief history of flavour

22.6.2 Rare flavour decays

22.7 An Overall Fit

22.8 Problems

23 Beyond the Standard Model

23.1 Many Questions

23.2 Beyond, but How?

23.2.1 Grand unified theories (GUTs)

23.2.2 The trial of scalars.

23.2.3 Supersymmetry, or the defence of scalars.

Notes:

Also issued in print: 2021.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

0-19-192698-1

0-19-265816-6

OCLC:

1276860998