| Description |
1 online resource |
| Contents |
5.3.1 The Irreducible Representations of the Poincaré Group5.3.2 The Generators of the Poincaré Group; 5.4 The Space of the Physical States; 5.4.1 The One-Particle States; 5.4.2 The Two- or More Particle States without Interaction; 5.4.3 The Fock Space; 5.4.4 Introducing Interactions; 5.5 Problems; 6 Relativistic Wave Equations; 6.1 Introduction; 6.2 The Klein-Gordon Equation; 6.3 The Dirac Equation; 6.3.1 The [gamma] Matrices; 6.3.2 The Conjugate Equation; 6.3.3 The Relativistic Invariance; 6.3.4 The Current; 6.3.5 The Hamiltonian; 6.3.6 The Standard Representation; 6.3.7 The Spin |
|
Cover; Contents; Prologue; 1 Introduction; 1.1 The Descriptive Layers of Physical Reality; 1.2 Units and Notations; 1.3 Hamiltonian and Lagrangian Mechanics; 1.3.1 Review of Variational Calculus; 1.3.2 Noether's Theorem; 1.3.3 Applications of Noether's Theorem; 2 Relativistic Invariance; 2.1 Introduction; 2.2 The Three-Dimensional Rotation Group; 2.3 Three-Dimensional Spinors; 2.4 Three-Dimensional Spinorial Tensors; 2.5 The Lorentz Group; 2.6 Generators and Lie Algebra of the Lorentz Group; 2.7 The Group SL(2,C); 2.8 The Four-Dimensional Spinors; 2.9 Space Inversion and Bispinors |
|
2.10 Finite-Dimensional Representations of SU(2) and SL(2,C)2.11 Problems; 3 The Electromagnetic Field; 3.1 Introduction; 3.2 Tensor Formulation of Maxwell's Equations; 3.3 Maxwell's Equations and Differential Forms; 3.4 Choice of a Gauge; 3.5 Invariance under Change of Coordinates; 3.6 Lagrangian Formulation; 3.6.1 The Euler-Lagrange Equations and Noether's Theorem; 3.6.2 Examples of Noether Currents; 3.6.3 Application to Electromagnetism; 3.7 Interaction with a Charged Particle; 3.8 Green Functions; 3.8.1 The Green Functions of the Klein-Gordon Equation |
|
3.8.2 The Green Functions of the Electromagnetic Field3.9 Applications; 3.9.1 The Liénard-Wiechert Potential; 3.9.2 The Larmor Formula; 3.9.3 The Thomson Formula; 3.9.4 The Limits of Classical Electromagnetism; 4 General Relativity: A Field Theory of Gravitation; 4.1 The Equivalence Principle; 4.1.1 Introduction; 4.1.2 The Principle; 4.1.3 Deflection of Light by a Gravitational Field ; 4.1.4 Influence of Gravity on Clock Synchronisation; 4.2 Curved Geometry; 4.2.1 Introduction; 4.2.2 Tensorial Calculus for the Reparametrisation Symmetry; 4.2.3 Affine Connection and Covariant Derivation |
|
4.2.4 Parallel Transport and Christoffel Coefficients4.2.5 Geodesics; 4.2.6 The Curvature Tensor; 4.3 Reparametrization Gauge Symmetry and Einstein's General Relativity; 4.3.1 Reparametrisation Invariance as a Gauge Symmetry; 4.3.2 Reparametrisation Invariance and Energy-Momentum Tensor; 4.3.3 The Einstein-Hilbert Equation; 4.4 The Limits of Our Perception of Space and Time; 4.4.1 Direct Measurements; 4.4.2 Possible Large Defects; 5 The Physical States; 5.1 Introduction; 5.2 The Principles; 5.2.1 Relativistic Invariance and Physical States; 5.3 The Poincaré Group |
| Summary |
Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles |
| Notes |
Online resource; title from PDF title page (Oxford, viewed August 24, 2017) |
| Subject |
Quantum field theory -- Textbooks
|
|
SCIENCE -- Energy.
|
|
SCIENCE -- Mechanics -- General.
|
|
SCIENCE -- Physics -- General.
|
|
Quantum field theory
|
| Genre/Form |
Textbooks
|
|
Textbooks.
|
| Form |
Electronic book
|
| Author |
Iliopoulos, John, 1940- author.
|
|
Sénéor, R., author.
|
| ISBN |
0191092630 |
|
9780191092633 |
|
9780191830310 |
|
0191830313 |
|
