Articoli correlati a A First Book of Quantum Field Theory
Sinossi
For more than 50 years we have known that quantum field theory is necessary for describing precision experiments involving electromagnetic interactions. More recently it has become clear that it also describes weak and strong interactions, and, in fact, produces an appropriate framework for describing a wide class of phenomena in the energy range covered by all experiments to date.
A First Book of Quantum Field Theory introduces the subject as an elegant yet relatively simple piece of machinery with a broad range of applications. Although many introductory textbooks approach the subject with description of the electron and the photon as their goal, this treatment takes a rather unique approach through decay processes, which are, in some ways, simpler than scattering processes. Using decay processes allows the authors to introduce the basic machinery of Feynman diagrams even before addressing the quantization of spin-1 fields.
With clear, engaging prose, strategically placed exercises, and canonical quantization employed throughout the book, A First Book of Quantum Field Theory offers a systematic, straightforward treatment ideal for advanced undergraduate and beginning post-graduate students. Readers will not only grasp the crucial concepts and the tools fundamental to the subject, but they will also discover both its elegance and its utility.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
PRELIMINARIES
Why Quantum Field Theory
Creation and Annihilation Operators
Special Relativity
Space and Time in Relativistic Quantum Theory
Natural Units
CLASSICAL FIELD THEORY
A quick review of particle mechanics
Euler-Lagrange Equations in Field Theory
Hamiltonian Formalism
Noether's Theorem
QUANTIZATION OF SCALAR FIELDS
Equation of Motion
The Field and its Canonical Quantization
Fourier Decomposition of the Field
Ground State of the Hamiltonian and Normal Ordering
Fock Space
Complex Scalar Field
Propagator
QUANTIZATION OF DIRAC FIELDS
Dirac Hamiltonian
Dirac Equation
Plane Wave Solutions of Dirac Equation
Projection Operators
Lagrangian for a Dirac Field
FourIer Decomposition of the Field
Propagator
THE S-MATRIX EXPANSION
Examples of Interactions
Evolution Operator
S-Matrix
Wick's Theorem
FROM WICK EXPANSION TO FEYNMAN DIAGRAMS
Yukawa Interaction: Decay of a Scalar
Normalized States
Sample Calculation of a Matrix Element
Another Example: Fermion Scattering
Feynman Amplitude
Feynman Rules
Virtual Particles
Amplitudes which are not S-Matrix Elements
CROSS SECTIONS AND DECAY RATES
Decay Rate
Example of Decay Rate Calculation
Scattering Cross Section
Generalities of 2-to-2 Scattering
Inelastic Scattering with 4-Fermion Interaction
Mandelstam Variables
QUANTUM ELECTRODYNAMICS
Local Gauge Invariance
Interaction Hamiltonian
Lower Order Processes
Electron-Electron Scattering
Electron-Positron Scattering
e-e+®m-m+
Consequence of Gauge Invariance
Compton Scattering
Scattering by an External Field
Bremmsstrahlung
P, T, C, AND THEIR COMBINATIONS
Motivations from Classical Physics
Parity
Charge Conjugation
Time Reversal
CP
CPT
ELECTROMAGNETIC FORM FACTORS
General Electromagnetic Vertex
Physical Interpretation of Form Factors
Anomalous Magnetic Moment of the electron
Charge Form Factor
Electron-Proton Scattering
RENORMALIZATION
Degree of Divergence of a Diagram
Specific Examples in QED
Outline of the Program
Ward-Takahashi Identity
General Forms for Divergent Amplitudes
Regularization of Self-Energy Diagrams
Counterterms
Full Lagrangian
Observable Effects of Renormalization
SYMMETRIES AND SYMMETRY BREAKING
Classification of Symmetries
Groups and Symmetries
Approximate Symmetries
Spontaneous Breaking of Symmetries
Goldstone's Theorem
Higgs Mechanism
YANG-MILLS THEORY OF NON-ABELIAN GAUGE FIELDS
Gauge Fields of Non-Abelian Symmetry
Pure Gauge Lagrangian
Interactions of Non-Abelian Gauge Fields
Equations of Motion and Conserved Currents
Quantization of Non-Abelian Gauge Fields
Quantum Chromodynamics
STANDARD ELECTROWEAK THEORY
Gauge Group
Spontaneous Symmetry Breaking
Fermions in the Theory
Gauge Boson Decay
Scattering Processes
Propagator for Unstable Particles
Global Symmetries of the Model
APPENDIX: Useful Formulas
INDEX
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
(nessuna copia disponibile)
Cerca: Inserisci un desiderataNon riesci a trovare il libro che stai cercando? Continueremo a cercarlo per te. Se uno dei nostri librai lo aggiunge ad AbeBooks, ti invieremo una notifica!
Inserisci un desiderata
